ABSTRACT
By means of nuclear spin-lattice relaxation rate T(1)(-1), we follow the spin dynamics as a function of the applied magnetic field in two gapped quasi-one-dimensional quantum antiferromagnets: the anisotropic spin-chain system NiCl(2)-4SC(NH(2))(2) and the spin-ladder system (C(5)H(12)N)(2)CuBr(4). In both systems, spin excitations are confirmed to evolve from magnons in the gapped state to spinons in the gapless Tomonaga-Luttinger-liquid state. In between, T(1)(-1) exhibits a pronounced, continuous variation, which is shown to scale in accordance with quantum criticality. We extract the critical exponent for T(1)(-1), compare it to the theory, and show that this behavior is identical in both studied systems, thus demonstrating the universality of quantum-critical behavior.
ABSTRACT
We present a 14N nuclear magnetic resonance study of a single crystal of CuBr4(C5H12N)2 (BPCB) consisting of weakly coupled spin-1/2 Heisenberg antiferromagnetic ladders. Treating ladders in the gapless phase as Luttinger liquids, we are able to fully account for (i) the magnetic field dependence of the nuclear spin-lattice relaxation rate T1(-1) at 250 mK and for (ii) the phase transition to a 3D ordered phase occurring below 110 mK due to weak interladder exchange coupling. BPCB is thus an excellent model system where the possibility to control Luttinger liquid parameters in a continuous manner is demonstrated and the Luttinger liquid model tested in detail over the whole fermion band.
ABSTRACT
We present a 2D NMR investigation of the gapped spin-1/2 compound Cu2(C5H10N2D2)2Cl4. Our measurements reveal the presence of a magnetic field-induced transverse staggered magnetization (TSM) which persists well below and above the field-induced 3D long-range magnetically ordered (FIMO) phase. The symmetry of this TSM is different from that of the TSM induced by the order parameter of the FIMO phase. Its origin, field dependence, and symmetry can be explained by an intradimer Dzyaloshinskii-Moriya interaction, as shown by DMRG calculations on a spin-1/2 ladder. This leads us to predict that the transition into the FIMO phase is not in the BEC universality class.
ABSTRACT
The magnetic-field-induced 3D ordered phase of the two-leg spin ladder Cu2(C5H12N2)2Cl4 has been probed through measurements of 1H NMR spectra and 1/T1 in the temperature range 70 mK-1.2 K. The second order transition line T(c)(H) has been determined between H(c1) = 7.52 T and H(c2) = 13.5 T and varies as (H-H(c1))(2/3) close to H(c1). From the observation of anomalous shifts and a crossover in 1/T1 above T(c), the mechanism of the 3D transition is argued to be magnetoelastic as in spin-Peierls chains, here involving a displacement of the protons along the longitudinal exchange ( J( parallel)) path.
ABSTRACT
The synthesis, crystal structure, and magnetic properties are reported for the new bimetallic compound Cu(op)(2)MnCl(4), where op = HN(CH(2))(5)NH. The compound, C(10)H(24)N(4)Cl(4)CuMn, crystallizes in the monoclinic space group P2(1)/n. Cell dimensions are as follows: a = 15.316(3) Å, b = 16.608(3) Å, c = 7.141(2) Å, beta = 100.01(5) degrees, Z = 4. The structure consists of well-separated and magnetically equivalent layers which are composed of chloride-bridged Cu(op)(2)MnCl(4) binuclear units connected by rather loose Cu-N-H.Cl-Mn contacts. The MnCl(4) fragment approximates tetrahedral symmetry. The Cu(II) geometry is (4 + 1) square-pyramidal with the apical position occupied by a bridging chloride ligand and the basal ones by the nitrogen atoms from the organic ligands. The shortest interlayer M.M separations, approximately 7 Å, are of the Mn.Cu type. Magnetic susceptibility and single-crystal EPR measurements for the compound have been carried out over the range 4-300 K. At room temperature the chiT product (per MnCu unit) has a value of 4.84 emu.mol(-)(1).K, close to that expected for uncoupled S = (5)/(2) and S = (1)/(2) spins. When the temperature is lowered, chiT remains almost constant until 80-90 K, slightly increases to reach a maximum at approximately 13 K (5.21 emu.mol(-)(1).K), and then rapidly decreases. Comparison between theory and experiment, made with use of both a mean field corrected dimer model and an approximate 2-D model, indicates that Mn(II).Cu(II) exchange is ferromagnetic within the dimers (J(1) approximately 2.6 cm(-)(1)) and antiferromagnetic among dimers, with J values between -0.07 and -0.03 cm(-)(1) (the interaction Hamiltonian is of the form H = -2JS(A).S(B)). Single-crystal EPR spectra recorded along the a, b, and c axes show a large temperature dependence of the g factors: at 4.2 K, g(a) = 2.10, g(b) = 1.96, and g(c) = 2.01. This pattern substantiates the presence of a 2-D magnetic structure with ferromagnetic intradimer exchange and interdimer antiferromagnetic exchange of weaker magnitude. The opposite signs of the interactions are ascribed to the local symmetries of the Cu(II) and Mn(II) ions.
