Thermodynamics of a spin-1/2 XYZ Heisenberg chain with a Dzyaloshinskii-Moriya interaction

Abstract

We study the thermodynamics of an XYZ Heisenberg chain with Dzyaloshinskii-Moriya interaction, which describes the low-energy behaviors of a one-dimensional spin-orbit-coupled bosonic model in the deep insulating region. The entropy and the specific heat are calculated numerically by the quasi-exact transfer-matrix renormalization group. In particular, in the limit $U^{\prime }/U\to \infty$, our model is exactly solvable and thus serves as a benchmark for our numerical method. From our data, we find that for $U^{\prime }/U>1$ a quantum phase transition between an (anti)ferromagnetic phase and a Tomonaga-Luttinger liquid phase occurs at a finite $\theta$, while for $U^{\prime }/U<1$ a transition between a ferromagnetic phase and a paramagnetic phase happens at $\theta =0$. A refined ground-state phase diagram is then deduced from their low-temperature behaviors. Our findings provide an alternative way to detect those distinguishable phases experimentally.

accepted by Phys. Rev. B, title changed

References in corpus (16)

• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Long wavelength helimagnetic order and skyrmion lattice phase in Cu2OSeO3
• Quantum Criticality
• Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Spin-orbit coupled Bose-Einstein condensates in a one-dimensional optical lattice
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Realizing unconventional quantum magnetism with symmetric top molecules
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
• Spin-orbital dynamics in a system of polar molecules
• The Luttinger liquid and integrable models
• Essential singularity in the Renyi entanglement entropy of the one-dimensional XYZ spin-1/2 chain
• The evolution of magnetic structure driven by a synthetic spin-orbit coupling in two-component Bose-Hubbard model
• Phase diagram and spin Hamiltonian of weakly-coupled anisotropic S=1/2 chains in CuCl2*2((CD3)2SO)
• Third law of thermodynamics and the shape of the phase diagram for systems with a first-order quantum phase transition

Cited by in corpus (2)

• Unusual excitations and double-peak specific heat in a bond-alternating spin-$1$ $K$-$\Gamma$ chain
• Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction