Emergent Z_{2} Gauge Theories and Topological Excitations in Rydberg Atom Arrays.

Strongly interacting arrays of Rydberg atoms provide versatile platforms for exploring exotic many-body phases and dynamics of correlated quantum systems. Motivated by recent experimental advances, we show that the combination of Rydberg interactions and appropriate lattice geometries naturally leads to emergent Z_{2} gauge theories endowed with matter fields. Based on this mapping, we describe how Rydberg platforms could realize two distinct classes of topological Z_{2} quantum spin liquids, which differ in their patterns of translational symmetry fractionalization. We also discuss the natures of the fractionalized excitations of these Z_{2} spin liquid states using both fermionic and bosonic parton theories and illustrate their rich interplay with proximate solid phases.

Design, synthesis and biological evaluation of novel pyrazolo-pyrimidin-amines as potent and selective BTK inhibitors.

To discover the best-in-class Bruton's Tyrosine Kinase (BTK) inhibitors, for th treatment of autoimmune disorders like cancer (B-Cell Lymphoma (BCL)) and rheumatoid arthritis (RA), in the present investigation, novel structural optimizations were carried out. Introduction of novel bicyclic amine linkers and aromatic backbone led to series of compounds 9a-h and 14a-u. Compound 14b was found to be potent, orally bioavailable, selective and irreversible BTK inhibitor. In vitro, 14b showed IC50 of 1.0 nM and 0.8 nM, in BTK and TMD8 assays, respectively. In vivo,14b displayed robust efficacy in collagen-induced arthritis (CIA) and TMD8 xenograft models, which could be correlated with its improved oral bioavailability. In the repeated dose acute toxicity study, 14b showed no adverse changes, indicating that the BTK inhibitor 14b could be viable therapeutic option for the treatment of autoimmune disorders.

Resonant thermal Hall effect of phonons coupled to dynamical defects.

We present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the phonon-defect coupling is proportional to the phonon lifetime and has a "side-jump" interpretation. Consequently, the thermal Hall angle is independent of the phonon lifetime. The contribution to the thermal Hall coefficient is at resonance when the phonon energy equals a defect-level spacing. Our results are obtained for three different defect models, which apply to different correlated electron materials. For the pseudogap regime of the cuprates, we propose a model of phonons coupled to an impurity quantum spin in the presence of quasistatic magnetic order with an isotropic Zeeman coupling to the applied field and without spin-orbit interaction.

Critical metallic phase in the overdoped random t-J model.

We investigate a model of electrons with random and all-to-all hopping and spin exchange interactions, with a constraint of no double occupancy. The model is studied in a Sachdev-Ye-Kitaev-like large-M limit with SU(M) spin symmetry. The saddle-point equations of this model are similar to approximate dynamic mean-field equations of realistic, nonrandom, t-J models. We use numerical studies on both real and imaginary frequency axes, along with asymptotic analyses, to establish the existence of a critical non-Fermi-liquid metallic ground state at large doping, with the spin correlation exponent varying with doping. This critical solution possesses a time-reparameterization symmetry, akin to Sachdev-Ye-Kitaev (SYK) models, which contributes a linear-in-temperature resistivity over the full range of doping where the solution is present. It is therefore an attractive mean-field description of the overdoped region of cuprates, where experiments have observed a linear-T resistivity in a broad region. The critical metal also displays a strong particle-hole asymmetry, which is relevant to Seebeck coefficient measurements. We show that the critical metal has an instability to a low-doping spin-glass phase and compute a critical doping value. We also describe the properties of this metallic spin-glass phase.

Revisiting the Langer-Ambegaokar-McCumber-Halperin theory of resistive transitions in one-dimensional superconductors with exact solutions.

We present an important correction to the Langer-Ambegaokar-McCumber-Halperin theory for the resistive state of a 1D superconductor. We establish that the identification of the saddle on the free energy surface over which Langer and Ambegaokar had claimed the system to move in order to form thermally excited phase slip centres is wrong. With the help of an exact solution we show that the system has to overcome a similar free energy barrier but can actually have vanishing amplitude of the superconducting phase at a point, unlike the Langer-Ambegaokar solution.