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1.
Phys Rev Lett ; 132(10): 106002, 2024 Mar 08.
Article in English | MEDLINE | ID: mdl-38518340

ABSTRACT

Inspired by a recent experiment showing that La_{3}Ni_{2}O_{7} exhibits high T_{c} superconductivity under high pressure, we theoretically revisit the possibility of superconductivity in this material. We find that superconductivity can take place, which is somewhat similar to that of the bilayer Hubbard model consisting of the Ni 3d_{3z^{2}-r^{2}} orbitals. Although the coupling with the 3d_{x^{2}-y^{2}} orbitals degrades superconductivity, T_{c} can still be high enough to understand the experiment thanks to the very high T_{c} reached in the bilayer Hubbard model.

2.
Aging Clin Exp Res ; 36(1): 7, 2024 Jan 28.
Article in English | MEDLINE | ID: mdl-38280978

ABSTRACT

BACKGROUNDS: One-leg standing time (OLST) has been frequently used physical performance measure; however, what muscular characteristics OLST represents remains uncertain. AIM: This cross-sectional study aimed to investigate the association between OLST and muscle characteristics to clarify the possibility of using OLST as a physical performance measure. METHODS: Study participants comprised 1144 older adults aged 65 years or older. Computed tomography images provided mid-thigh skeletal muscle cross-sectional area and mean attenuation value. OLST was measured for a maximum of 60 s. Static postural instability was assessed using a posturography. RESULTS: A frequency of OLST < 20 s was increased by quartiles of muscle cross-sectional area (Q1: 33.6, Q2: 12.8, Q3: 13.6, Q4: 11.9%, P < 0.001) and mean attenuation value (Q1: 32.3, Q2: 21.7, Q3: 14.3, Q4: 7.7%, P < 0.001). Results of the multinomial regression analysis indicated that muscle cross-sectional area and mean attenuation value were independently associated with an OLST of less than 20 s. The crude odds ratio of OLST less than 20 s for the lowest quartiles of both cross-sectional area and mean attenuation value was 4.19 (95% CI: 3.01 - 5.84). The cross-sectional area of muscles with greater fat deposition was inversely associated with OLST, while that with smaller fat deposition showed a positive association with OLST, indicating why mean attenuation value and cross-sectional area were independently associated with OLST. No clear relationship was observed with static postural instability. CONCLUSION: OLST was a simply measurable quantifiable physical measure representing the loss of muscle mass and quality in older adults.


Subject(s)
Leg , Muscle, Skeletal , Humans , Aged , Cross-Sectional Studies , Muscle, Skeletal/diagnostic imaging
3.
Hum Genome Var ; 11(1): 3, 2024 Jan 15.
Article in English | MEDLINE | ID: mdl-38221525

ABSTRACT

Autosomal dominant episodic ataxia type 2 (EA2) is caused by variants in CACNA1A. We examined a 20-year-old male with EA symptoms from a Japanese family with hereditary EA. Cerebellar atrophy was not evident, but single photon emission computed tomography showed cerebellar hypoperfusion. We identified a novel nonsynonymous variant in CACNA1A, NM_001127222.2:c.1805T>G (p.Leu602Arg), which is predicted to be functionally deleterious; therefore, this variant is likely responsible for EA2 in this pedigree.

5.
J Am Chem Soc ; 145(40): 21807-21816, 2023 Oct 11.
Article in English | MEDLINE | ID: mdl-37770040

ABSTRACT

Perovskite oxides ABO3 continue to be a major focus in materials science. Of particular interest is the interplay between A and B cations as exemplified by intersite charge transfer (ICT), which causes novel phenomena including negative thermal expansion and metal-insulator transition. However, the ICT properties were achieved and optimized by cationic substitution or ordering. Here we demonstrate an anionic approach to induce ICT using an oxyhydride perovskite, EuVO2H, which has alternating layers of EuH and VO2. A bulk EuVO2H behaves as a ferromagnetic insulator with a relatively high transition temperature (TC) of 10 K. However, the application of external pressure to the EuIIVIIIO2H bulk or compressive strain from the substrate in the thin films induces ICT from the EuIIH layer to the VIIIO2 layer due to the extended empty V dxy orbital. The ICT phenomenon causes the VO2 layer to become conductive, leading to an increase in TC that is dependent on the number of carriers in the dxy orbitals (up to a factor of 4 for 10 nm thin films). In addition, a large perpendicular magnetic anisotropy appears with the ICT for the films of <100 nm, which is unprecedented in materials with orbital-free Eu2+, opening new perspectives for applications. The present results provide opportunities for the acquisition of novel functions by alternating transition metal/rare earth layers with heteroanions.

6.
Front Genet ; 14: 1155998, 2023.
Article in English | MEDLINE | ID: mdl-37303947

ABSTRACT

Frontotemporal dementia and/or amyotrophic lateral sclerosis 6, also known as amyotrophic lateral sclerosis 14, is an autosomal dominant, progressive neurodegenerative disorder caused by various mutations in the valosin-containing protein gene. In this report, we examined a 51-year-old female Japanese patient with frontotemporal dementia and amyotrophic lateral sclerosis. The patient began noticing gait disturbances at the age of 45 years. Neurological examination at the age of 46 years met the Awaji criteria for clinically probable amyotrophic lateral sclerosis. At the age of 49 years, she tended to have poor mood and an aversion to activity. Her symptoms gradually worsened. She required a wheelchair for transport and had difficulty communicating with others because of poor comprehension. She then began to frequently exhibit irritability. Eventually, she was admitted to the psychiatric hospital because uncontrollable violent behavior throughout the day. Longitudinal brain magnetic resonance imaging revealed progressive brain atrophy with temporal dominance, non-progressive cerebellar atrophy, and some non-specific white matter intensities. Brain single photon emission computed tomography showed hypoperfusion in the bilateral temporal lobes and cerebellar hemispheres. Clinical exome sequencing revealed the presence of a heterozygous nonsynonymous variant (NM_007126.5, c.265C>T; p.Arg89Trp) in the valosin-containing protein gene, which was absent in the 1000 Genomes Project, the Exome Aggregation Consortium Database, and the Genome Aggregation Database, and was predicted to be "damaging" by PolyPhen-2 and "deleterious" using SIFT with a Combined Annotation Dependent Depletion score of 35. We also confirmed the absence of this variant in 505 Japanese control subjects. Therefore, we concluded that the variant in the valosin-containing protein gene was responsible for the symptoms of this patient.

7.
Clin Nutr ; 42(5): 793-799, 2023 05.
Article in English | MEDLINE | ID: mdl-37027980

ABSTRACT

BACKGROUND & AIMS: Phase angle (PhA) calculated from the resistance and reactance measured using a bioimpedance device was suggested to represent the degree of fat deposition in muscle (myosteatosis), though no direct evidence is available. We aimed to clarify the possible association between PhA and skeletal muscle myosteatosis in community-dwelling middle-aged to older adults. METHODS: Participants consisted of 424 Japanese (aged ≥50 years). Leg PhA and skeletal muscle mass index (SMI) were obtained by bioelectrical impedance analysis. The mean attenuation values and cross-sectional area of the mid-thigh skeletal muscle were calculated from computed tomography images and considered as indexes of myosteatosis and skeletal muscle mass, respectively. RESULTS: Leg PhA was positively associated with SMI, and cross-sectional area and mean attenuation value at mid-thigh. Multiple regression analysis adjusted for possible covariates identified leg PhA (ß = 0.214) and SMI (ß = 0.260) as independent factors of mid-thigh muscle cross-sectional area (P < 0.001), while leg PhA (ß = 0.349, P < 0.001) but not SMI (P = 0.645) was associated with mean attenuation value. Similar results were observed in the analysis in the older (≥65 years) subpopulation. The combination of low SMI and low leg PhA showed stepwise association with cross-sectional area, while only individuals with low leg PhA had lower mean attenuated value. CONCLUSIONS: Leg PhA was independently associated with mean attenuated value of the mid-thigh skeletal muscle, suggesting that the assessment of PhA in combination with SMI could provide additional information for the evaluation of muscle properties.


Subject(s)
Sarcopenia , Middle Aged , Humans , Aged , Sarcopenia/diagnostic imaging , Sarcopenia/pathology , Muscle, Skeletal/physiology , Muscle Strength/physiology , Thigh , Tomography, X-Ray Computed
8.
Geriatr Gerontol Int ; 23(6): 444-449, 2023 Jun.
Article in English | MEDLINE | ID: mdl-37078139

ABSTRACT

AIM: Identifying plasma molecules associated with skeletal muscle properties can elucidate the pathophysiology of sarcopenia. Because adipocytokines are a promising candidate marker, the current study aimed to clarify the possible associations between adiponectin and leptin levels and mid-thigh muscle cross-sectional area and mean attenuation value, which are indices of muscle mass and fat deposition in muscle, respectively. METHODS: The current study included 1440 older Japanese adults (mean age 69.3 years). Mid-thigh skeletal muscle cross-sectional area and mean attenuation value were evaluated through computed tomography scan. A low attenuation value showed a greater fat deposition in muscle. Circulating adiponectin and leptin levels were assessed using blood specimens collected during the baseline investigation. RESULTS: Plasma leptin level was inversely correlated with muscle cross-sectional area, but not with attenuation value. The association with cross-sectional area was independent of possible confounding factors including body size (Q1: reference; Q2: ß = -0.032, P = 0.033; Q3: ß = -0.064, P < 0.001; Q4: ß = -0.111, P < 0.001). In contrast, adiponectin level was independently and inversely associated with attenuation value (Q1: reference; Q2: ß = -0.044, P = 0.122; Q3: ß = -0.080, P = 0.006; Q4: ß = -0.159, P < 0.001), but not with cross-sectional area. These associations between adipocytokine levels and muscle properties were independent of abdominal fat area and insulin resistance. CONCLUSIONS: There were adiposity- and insulin resistance-independent associations between adipocytokines levels and skeletal muscle mass and fat deposition in muscle, suggesting an involvement of adipocytokines in muscle properties. Geriatr Gerontol Int 2023; 23: 444-449.


Subject(s)
Insulin Resistance , Leptin , Humans , Aged , Adiponectin , Obesity , Muscle, Skeletal/diagnostic imaging
9.
Angew Chem Int Ed Engl ; 61(39): e202209187, 2022 Sep 26.
Article in English | MEDLINE | ID: mdl-35929578

ABSTRACT

Topochemical reactions have led to great progress in the discovery of new metastable compounds with novel chemical and physical properties. With these reactions, the overall crystal structure of the host material is generally maintained. Here we report a topochemical synthesis of a hexagonal nitride hydride, h-Ca3 CrN3 H, by heating an orthorhombic nitride, o-Ca3 CrN3 , under hydrogen at 673 K, accompanied by a rotational structural transformation. The hydrogen intercalation modifies the Ca-N rock-salt-like atomic packing in o-Ca3 CrN3 to a face-sharing octahedral chain in h-Ca3 CrN3 H, mimicking a "hinged tessellation" movement. In addition, the h-Ca3 CrN3 H exhibited stable ammonia synthesis activity when used as a catalyst.

10.
Arch Gerontol Geriatr ; 101: 104704, 2022.
Article in English | MEDLINE | ID: mdl-35461167

ABSTRACT

AIMS: Sarcopenia is the age-associated atrophy of muscles, and advanced glycation end-products (AGEs) accumulate in patients with age-associated diseases. We aimed to investigate the relationship between AGE accumulation in the skin and sarcopenia in middle-aged and older Japanese people. MATERIALS AND METHODS: We enrolled 240 participants in this cross-sectional study. The participants consisted of 120 men (mean age 68.8 ± 10.1 years) and 120 women (mean age 67.4 ± 9.0 years). The level of dermal AGE accumulation in the forearms was measured using skin autofluorescence (SAF) and many parameters associated with sarcopenia, including grip strength and thigh muscle cross-sectional area (CSA), were evaluated during medical check-ups at the Ehime University Hospital. RESULTS: Grip strength and thigh muscle CSA were significantly higher in men than women, but mean SAF did not significantly differ between them. There were significant correlations of age, height, C-reactive protein, glycated hemoglobin, grip strength, and thigh muscle CSA with SAF in men, but only age in women. Multivariate analysis showed that SAF was significantly independently associated with low grip strength in men (ß =-0.211, p =0.046). The men were then allocated to four groups according to their grip strength and thigh muscle CSA, and SAF was significantly higher in the lowgrip strength/low-thigh muscle CSA group than in the high-grip strength/high-thigh muscle CSA group (low/low group 2.25 ± 0.37 and high/high group 1.93 ± 0.36, p =0.001). CONCLUSIONS: SAF is associated with sarcopenia-related measures, especially grip strength, in middle-aged and older Japanese men, but not women.


Subject(s)
Sarcopenia , Aged , Cross-Sectional Studies , Female , Glycation End Products, Advanced/metabolism , Hand Strength/physiology , Humans , Male , Middle Aged , Muscle, Skeletal/pathology , Sarcopenia/complications
11.
Inorg Chem ; 60(20): 15751-15758, 2021 Oct 18.
Article in English | MEDLINE | ID: mdl-34613695

ABSTRACT

Crystallographic order-disorder phenomena in solid state compounds are of fundamental interest due to intimate relationship between the structure and properties. Here, by using high-pressure and high-temperature synthesis, we obtained vanadium perovskite oxyhydrides Sr1-xNaxVO3-yHy (x = 0, 0.05, 0.1, 0.2) with an anion-disordered structure, which is different from anion-ordered SrVO2H synthesized by topochemical reduction. High-pressure and high-temperature synthesis from nominal composition SrVO2H yielded the anion-disordered perovskite SrVO3-yHy (y ∼ 0.4) with a significant amount of byproducts, while Na substitution resulted in the almost pure anion-disordered perovskite Sr1-xNaxVO3-yHy with an increased amount of hydride anion (y ∼ 0.7 for x = 0.2). The obtained disordered phases for x = 0.1 and 0.2 are paramagnetic with almost temperature-independent electronic conductivity, whereas anion-ordered SrVO2H is an antiferromagnetic insulator. Although we obtained the anion-disordered perovskite under high pressure, a first-principles calculation revealed that the application of pressure stabilizes the ordered phase due to a reduced volume in the ordered structure, suggesting that a further increase of the pressure or reduction of the reaction temperature leads to the anion ordering. This study shows that anion ordering in oxyhydrides can be controlled by changing synthetic pressure and temperature.

12.
Medicine (Baltimore) ; 100(37): e27286, 2021 Sep 17.
Article in English | MEDLINE | ID: mdl-34664888

ABSTRACT

RATIONALE: Recent studies have shown that QT interval prolongation is associated with disease severity and predicts mortality in systemic inflammatory diseases, particularly rheumatoid arthritis. Systemic pro-inflammatory cytokines released from synovial tissues in rheumatoid arthritis, such as interleukin (IL)-1ß, IL-6, and tumor necrosis factor-α, could have direct effects on cardiac electrophysiology, particularly changes in the expression and function of potassium and calcium channels, resulting in QT interval prolongation on surface electrocardiogram (ECG) and an increased predisposition to develop lethal ventricular arrhythmias. However, reports on torsade de pointes (TdP) due to acquired long QT syndrome in patients with polymyalgia rheumatica (PMR) are limited. PATIENT CONCERNS: An 85-year-old Japanese woman with active PMR developed first syncope. DIAGNOSIS: Frequent premature atrial contractions (PACs) with multiple patterns of aberrant conduction, QT interval prolongation, and morphological T-U wave variability followed by TdP were documented. PACs were the first beat of TdP. INTERVENTIONS: Amiodarone, together with magnesium and potassium, was intravenously administered. However, TdP resulted in a ventricular arrhythmic storm, for which sedation with mechanical ventilatory support, temporary overdrive cardiac pacing, and intravenous landiolol administration in addition to multiple direct current shocks were effective. OUTCOMES: Approximately 2 years later, the patient was treated with amiodarone, propranolol, and prednisolone. She did not undergo implantable cardioverter-defibrillator implantation and was quite well, with no recurrence of ventricular tachyarrhythmia. LESSONS: IL-6 hyperproduction in inflamed tissues has been widely confirmed in PMR. Frequent PACs with various patterns of aberrant conduction, QT interval prolongation, and morphological T-U wave variability followed by TdP, for which IL-6-mediated enhancement of L-type Ca2+ current and inhibition of the rapid component of the delayed rectifier K+ current are the most likely mechanisms, were documented in an elderly Japanese woman with PMR. ECG may be recorded once in patients with active PMR even when these patients do not complain of palpitation or syncope. If QT interval prolongation or arrhythmia, including even PACs, is observed, follow-up ECG may be warranted, particularly for patients with some risk factors for QT prolongation that could lead to TdP, such as advanced age, female sex, hypopotassemia, and polypharmacy.


Subject(s)
Atrial Premature Complexes/etiology , Cardiac Conduction System Disease/etiology , Polymyalgia Rheumatica/complications , Torsades de Pointes/etiology , Aged, 80 and over , Atrial Premature Complexes/physiopathology , Cardiac Conduction System Disease/physiopathology , Coronary Angiography/methods , Electrocardiography/methods , Female , Humans , Polymyalgia Rheumatica/physiopathology , Syncope/diagnosis , Torsades de Pointes/physiopathology
13.
Surg Neurol Int ; 12: 243, 2021.
Article in English | MEDLINE | ID: mdl-34221574

ABSTRACT

BACKGROUND: Sarcoidosis is a multisystem disorder characterized by noncaseating epithelioid granulomas. However, neurosarcoidosis occurring only in the medulla oblongata is very rare and lacks specific imaging and clinical features. We report a rare case of neurosarcoidosis arising from the medulla oblongata alone, suggesting the significance of pathological findings for accurate diagnosis. CASE DESCRIPTION: A 78-year-old woman with a history of rheumatoid arthritis was admitted to our hospital with a 3-month history of progressive numbness in bilateral lower extremities and gait disturbance. Neurological examination on admission showed mild bilateral paired paralysis of the lower limbs (manual muscle test: right 2/V; left 4/V) and marked numbness in the right lower limb. Neuroimaging revealed a solid mass with clear boundaries in the dorsal medulla oblongata appearing hypointense on T1-weighted imaging (WI), hyperintense on T2-WI, and hypointense on diffusion WI (DWI), with strong enhancement on gadolinium-enhanced T1-WI. Cerebrospinal fluid analysis showed moderately elevated levels of protein and lymphocytic cells. Biopsy to determine the exact diagnosis revealed histological findings of noncaseating epithelioid granulomas and inflammatory infiltration, consistent with sarcoidosis. Postoperatively, corticosteroid therapy with prednisolone was initiated as soon as possible, resulting in marked reductions in lesion size. Follow-up neuroimaging after 12 months showed no signs of recurrence. CONCLUSION: Neurosarcoidosis is difficult to diagnose from routine neuroimaging and laboratory findings. Accurate diagnosis requires careful identification of clinical signs, hypointensity on DWI, and morphological findings from surgical biopsy.

14.
Mult Scler Relat Disord ; 54: 103135, 2021 Sep.
Article in English | MEDLINE | ID: mdl-34274738

ABSTRACT

BACKGROUND: Impairment of cerebrovascular reactivity (CVR) has been reported in patients with multiple sclerosis (MS). Chronic inflammation and endothelial dysfunction are possible mechanisms underlying this hemodynamic impairment. This study aimed to evaluate CVR and endothelial function in patients with MS and explore their relationships with disease progression using functional sonographic procedures. METHODS: Patients with MS and age-/sex-matched healthy controls were assessed for endothelial function, determined by flow-mediated dilation (FMD), and CVR, measured using the breath-holding index (BHI). RESULTS: Twenty-seven patients with MS and 24 healthy controls were enrolled. FMD was significantly lower in MS subjects than in control subjects (6.0 ± 0.6 vs. 8.6 ± 0.7, p = 0.006); furthermore, BHI was similarly lower in MS than in controls, but insignificant. Remarkably, FMD was significantly lower in secondary progressive MS subjects than in relapse-remitting MS subjects (3.7 ± 1.3 vs. 6.7 ± 0.7, p = 0.045). In addition, FMD was inversely correlated with the disability score as per the expanded disability status scale (R2 = 0.170, p = 0.033) and modified Rankin scale (R2 = 0.187, p = 0.027). CONCLUSION: In patients with MS, endothelial dysfunction was more noticeable than CVR impairment, correlating with the severity and progression of MS.


Subject(s)
Multiple Sclerosis, Chronic Progressive , Multiple Sclerosis , Vascular Diseases , Humans , Multiple Sclerosis/diagnostic imaging , Multiple Sclerosis, Chronic Progressive/diagnostic imaging
16.
Inorg Chem ; 60(16): 11957-11963, 2021 Aug 16.
Article in English | MEDLINE | ID: mdl-34309363

ABSTRACT

Studies on magnetic oxyhydrides have been almost limited to perovskite-based lattices with corner-sharing octahedra with a M-H-M (M: transition metal) angle of θ ∼ 180°. Using a high-pressure method, we prepared BaCrO2H with a 6H-type hexagonal perovskite structure with corner- and face-sharing octahedra, offering a unique opportunity to investigate magnetic interactions based on a θ ∼ 90° case. Neutron diffraction for BaCrO2H revealed an antiferromagnetic (AFM) order at TN ∼ 375 K, which is higher than ∼240 K in BaCrO3-xFx. The relatively high TN of BaCrO2H can be explained by the preferred occupancy of H- at the face-sharing site that provides AFM superexchange in addition to AFM direct exchange interactions. First-principles calculations on BaCrO2H in comparison with BaCrO2F and BaMnO3 further reveal that the direct Cr-Cr interaction is significantly enhanced by shortening the Cr-Cr distance due to the covalent nature of H-. This study provides a useful strategy for the extensive control of magnetic interactions by exploiting the difference in the covalency of multiple anions.

18.
J Am Heart Assoc ; 10(13): e018626, 2021 07 06.
Article in English | MEDLINE | ID: mdl-34155906

ABSTRACT

Background We assessed cases of incidental unruptured intracranial aneurysm (UIA) discovered on screening magnetic resonance angiography to identify hemodynamic and atherosclerotic risk factors. Methods and Results The data of 1376 healthy older subjects (age range, 31-91 years) without cerebro- or cardiovascular diseases who underwent brain magnetic resonance angiography as part of a medical checkup program at a health screening center were examined retrospectively. We looked for an increase in classical risk factors for UIAs (age, sex, hypertension, and smoking) and laboratory data related to lifestyle diseases among subjects with UIAs. Brachial-ankle pulse wave velocity, central systolic blood pressure, radial augmentation index, and carotid flow pulsatility index were also compared between those with and without UIAs. We found UIAs in 79 (5.7%) of the subjects. Mean age was 67.1±9.0 years, and 55 (70%) were women. Of the 79 aneurysms, 75 (95%) were in the anterior circulation, with a mean diameter of 3.1 mm (range, 2.0-8.0 mm). Subjects with UIAs were significantly older and had more severe hypertension. The carotid flow pulsatility index was significantly lower in subjects with UIAs and negatively and independently correlated with UIAs. Tertile analysis stratified by carotid flow pulsatility index revealed that subjects with lower indices had higher levels of low-density lipoprotein cholesterol. Conclusions The presence of UIAs correlated with lower carotid flow pulsatility index and elevated low-density lipoprotein cholesterol in the data from a population of healthy older volunteers. A reduced carotid flow pulsatility index may affect low-density lipoprotein cholesterol elevation by some molecular pathways and influence the development of cerebral aneurysms. This may guide aneurysm screening indications for institutions where magnetic resonance angiography is not routine.


Subject(s)
Carotid Arteries/diagnostic imaging , Intracranial Aneurysm/diagnosis , Magnetic Resonance Angiography , Adult , Aged , Aged, 80 and over , Ankle Brachial Index , Female , Healthy Volunteers , Humans , Intracranial Aneurysm/epidemiology , Japan/epidemiology , Lipoproteins, LDL/blood , Logistic Models , Male , Middle Aged , Pulse Wave Analysis , Retrospective Studies , Risk Factors
20.
Nat Mater ; 20(8): 1093-1099, 2021 Aug.
Article in English | MEDLINE | ID: mdl-34017119

ABSTRACT

Control of the phase transition from topological to normal insulators can allow for an on/off switching of spin current. While topological phase transitions have been realized by elemental substitution in semiconducting alloys, such an approach requires preparation of materials with various compositions. Thus it is quite far from a feasible device application, which demands a reversible operation. Here we use angle-resolved photoemission spectroscopy and spin- and angle-resolved photoemission spectroscopy to visualize the strain-driven band-structure evolution of the quasi-one-dimensional superconductor TaSe3. We demonstrate that it undergoes reversible strain-induced topological phase transitions from a strong topological insulator phase with spin-polarized, quasi-one-dimensional topological surface states, to topologically trivial semimetal and band insulating phases. The quasi-one-dimensional superconductor TaSe3 provides a suitable platform for engineering the topological spintronics, for example as an on/off switch for a spin current that is robust against impurity scattering.

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