Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods

Abstract

Frustrated quantum spin systems such as the Heisenberg and Kitaev models on various lattices, have been known to exhibit various exotic properties not only at zero temperature but also for finite temperatures. Inspired by the remarkable development of the quantum frustrated spin systems in recent years, we investigate the finite-temperature properties of the $S=1/2$ Kitaev-Heisenberg models on kagome and triangular lattices by means of finite-temperature Lanczos methods with improved accuracy. In both lattices, multiple peaks are confirmed in the specific heat. To find the origin of the multiple peaks, we calculate the static spin structure factor. The origin of the high-temperature peak of the specific heat is attributed to a crossover from the paramagnetic state to a short-range ordered state whose static spin structure factor has zigzag or linear intensity distributions in momentum space. In the triangular Kitaev model, the "order by disorder" due to quantum fluctuation occurs. On the other hand, in the kagome Kitaev model it does not occur even with both quantum and thermal fluctuations.

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• Thermodynamic properties of an $S=1/2$ ring-exchange model on the triangular lattice
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• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
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• Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
• Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO${}_4$
• Magnetism of the $s=1/2$ $J_1$-$J_2$ square-kagome lattice antiferromagnet
• Krylov-aware stochastic trace estimation
• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
• Melting of magnetization plateaus for kagome and square-kagome lattice antiferromagnets
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• Energy-filtered random-phase states as microcanonical thermal pure quantum states
• Accuracy of the typicality approach using Chebyshev polynomials
• Thermally enhanced Majorana-mediated spin transport in the Kitaev model
• Origin of the hidden energy scale and the $f$-ratio in geometrically frustrated magnets
• Signatures of the finite-temperature mirror symmetry breaking in the $S$=1/2 Shastry-Sutherland model
• Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice
• Finite-size scaling of typicality-based estimates
• Anisotropic magnetic interactions in a candidate Kitaev spin liquid close to a metal-insulator transition
• Quantum-classical crossover in the spin-1/2 Heisenberg-Kitaev kagome magnet
• Anisotropy of the zigzag order in the Kitaev honeycomb magnet $\alpha$-RuBr${}_3$
• A spectrum adaptive kernel polynomial method
• Ferrichiral skyrmions with sublattice-resolved chirality in extended Kitaev model in triangular lattice
• Faster randomized partial trace estimation
• Towards lattice-gas description of low-temperature properties above the Haldane and cluster-based Haldane ground states of a mixed spin-(1,1/2) Heisenberg octahedral chain
• Itinerant magnetism in Hubbard models with long-range interactions
• Quantum spin liquid ground state with the evidence of roton-like excitations at elevated temperatures in the triangular-lattice delafossite YbCuSe${}_2$
• Specific heat and susceptibility of S=1/2 antiferromagnets on square, triangular, and kagome lattices