Thermodynamic properties of an $S=1/2$ ring-exchange model on the triangular lattice

Abstract

By using a numerically exact diagonalization technique and a block-extended version of the finite-temperature Lanczos method, we study thermodynamic properties of an $S=1/2$ Heisenberg model on the triangular lattice with an antiferromagnetic nearest-neighbor interaction $J$ and a four-spin ring-exchange interaction $J_{\mathrm{c}}$. Calculations are performed on small clusters under the periodic-boundary conditions. In contrast to the purely triangular case with $J_{\mathrm{c}}=0$, the specific heat exhibits a characteristic double-peak structure for $J_{\mathrm{c}}/J\gtrsim 0.04$. From the calculation of the entropy and the uniform magnetic susceptibility, it is shown that non-magnetic excitations exist below the magnetic excitation for $J_{\mathrm{c}}/J\gtrsim 0.04$.

16 pages, 8 figures, 1 table, 1 algorithm + supplemental material

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• Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice
• Anomalous thermodynamics of a quantum spin system with large residual entropy
• Instability of the $U(1)$ spin liquid with a large spinon Fermi surface in the Heisenberg-ring exchange model on the triangular lattice
• Roller-Coaster in a Flatland: Magnetoresistivity in Eu-intercalated Graphite
• Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Higher order spin interactions mediated by the substrate
• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction
• A posteriori error bounds for the block-Lanczos method for matrix function approximation
• 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
• Field-induced states and thermodynamics of the frustrated Heisenberg antiferromagnet on a square lattice
• Quantum spin liquid ground state with the evidence of roton-like excitations at elevated temperatures in the triangular-lattice delafossite YbCuSe${}_2$
• Effects of bond-randomness and Dzyaloshinskii-Moriya interactions on the specific heat at low temperatures of a spherical kagomé cluster in {W${}_{72}$V${}_{30}$}