Finite-temperature properties of the easy-axis Heisenberg model on frustrated lattices

Abstract

Motivated by recent experiments on a compound {displaying Ising-like short-range correlations on the triangular lattice, we study the anisotropic easy-axis spin-$1/2$ Heisenberg model on the triangular and kagome lattice} by performing numerical calculations of finite-temperature properties, in particular of static spin structure factor and of thermodynamic quantities, on systems with up to 36 sites. On the triangular lattice, the low-temperature spin structure factor {exhibits long-range} spin correlations in the whole range of anisotropies, whereas thermodynamic quantities reveal a crossover upon increasing the anisotropy, most pronounced in the vanishing generalized Wilson ratio in the easy-axis regime. In contrast, on the kagome lattice, the spin structure factor is short-range, and thermodynamic quantities evolve steadily between the easy-axis and the isotropic case, consistent with the interpretation in terms of {a} spin liquid.

arXiv comment9 pages

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Cited by in corpus (16)

• Continuum excitations in a spin-supersolid on a triangular lattice
• Magnetic properties and spin dynamics in a spin-orbit driven Jeff= 1/2 triangular lattice antiferromagnet
• Simulating Spin Dynamics of Supersolid States in a Quantum Ising Magnet
• Wannier states and spin supersolid physics in the triangular antiferromagnet K${}_2$Co(SeO${}_3$)${}_2$
• Short-range order and hidden energy scale in geometrically frustrated magnets
• Origin of the hidden energy scale and the $f$-ratio in geometrically frustrated magnets
• Easy-axis Heisenberg model on the triangular lattice: from supersolid to gapped solid
• From continuum excitations to sharp magnons via transverse magnetic field in the spin-1/2 Ising-like triangular lattice antiferromagnet Na2BaCo(PO4)2
• Frustrated kagome-lattice bilayer quantum Heisenberg antiferromagnet
• Slow convergence of spin-wave expansion and magnon dispersion in the 1/3 plateau of the triangular XXZ antiferromagnet
• Magnetic properties and field-induced phenomena in the Jeff = 1/2 distorted kagome antiferromagnet
• Symmetry breaking and competing valence bond states in the star lattice Heisenberg antiferromagnet
• Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice
• Non-linear spin wave theory in the strong easy-axis limit of the triangular XXZ model
• The anisotropic Heisenberg model close to the Ising limit: triangular lattice vs. effective models
• Unconventional Spin Dynamics and Supersolid Excitations in the Triangular-Lattice XXZ Model