Thermodynamics of a spin-12XYZ Heisenberg chain with a Dzyaloshinskii-Moriya interaction

Abstract

We study the thermodynamics of a spin-1/2 XYZ Heisenberg chain with a Dzyaloshinskii-Moriya interaction. This model describes the low-energy behaviors of a one-dimensional two-component bosonic model with a synthetic spin-orbit coupling in the deep insulating region. In the limit U ′ /U → ∞, where U is the strength of the onsite intracomponent repulsion and U ′ is the intercomponent one, we solve our model exactly by Jordan-Wigner transformation, and thus provide a benchmark for our following numerical approach. In other cases, we calculate the entropy and the specific heat numerically by the transfer-matrix renormalization group method. Their low-temperature behaviors depend crucially on the properties of the zero-temperature phases. A refined ground-state phase diagram is then deduced from their low-temperature behaviors. Our findings offer an alternative way to detect those distinguishable phases experimentally.

Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction

“…I would like to thank C. Ding and W.-L. You for the discussion on the manuscript. I am deeply indebted to S. Hu, X. Wang, B. Xi, and J. Zhao for a previous collaboration on a related work [49]. I also acknowledge the hotels and nursing staffs in Yancheng for their kind hospitality when I was kept in quarantine.…”

“…The transverse field is then involved by applying a magnetic field normal to the Ising spin direction. Meanwhile, for the spin-orbit-coupled bosons embedded in 1D optical lattices, it can be effectively regarded as an Ising ferromagnet subjected to DM interaction along the z direction when the intraspecies interaction strength is prominently larger than that of the interspecies one [44][45][46][47][48][49]. This model can be solved exactly by Jordan-Wigner transformation and it is known to host a ferromagnetic (FM) phase, a paramagnetic (PM) phase, and a Luttinger liquid with chiral ordering (hereafter termed chiral-LL) [50][51][52][53][54].…”

Topological spin textures in chiral magnets on the honeycomb lattice with magnetic fields

“…The most mechanism of skyrmion formation is the competition between Dzyaloshinskii-Moriya (DM) interaction [3,4] and ferromagnetic exchange interaction with an external field. The DM interaction arises from the relativistic spin-orbit coupling (SOC) in the presence of broken inversion symmetry, such as in chiral magnets (MnSi, FeGe, Fe 1−x Co x Si, Cu 2 OSeO 3 , etc) [5][6][7][8][9][10][11][12], the metallic ferromagnet/paramagnet bilayers or bulks with artificial DM interaction [13][14][15][16][17], ultra-cold systems with synthetic SOC [18][19][20][21][22][23][24][25][26], which have been researched extensively theoretically and experimentally.…”