Residual entropy of spin-s triangular Ising antiferromagnet

Abstract

We employ a thermodynamic integration method (TIM) to establish the values of the residual entropy for the geometrically frustrated spin-s triangular Ising antiferromagnet, with the spin values s = 1/2, 1, 3/2, 2 and 5/2. The case of s = 1/2, for which the exact value is known, is used to assess the TIM performance. We also obtain an analytical formula for the lower bound in a general spin-s model and conjecture that it should reasonably approximate the true residual entropy for sufficiently large $s$. Implications of the present results in relation to reliability of the TIM as an indirect method for calculating global thermodynamic quantities, such as the free energy and the entropy, in similar systems involving frustration and/or higher spin values by standard Monte Carlo sampling are briefly discussed.

arXiv comment10 pages, 5 figures

References in corpus (6)

• An efficient, multiple range random walk algorithm to calculate the density of states
• Ising models of quantum frustration
• Enhanced magnetocaloric effect in frustrated magnets
• Zero-Temperature Phase Transitions of Antiferromagnetic Ising Model of General Spin on a Triangular Lattice
• Ground-state clusters of two-, three- and four-dimensional +-J Ising spin glasses
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Cited by in corpus (6)

• Frustrated two dimensional quantum magnets
• Thermodynamic and magnetocaloric properties of geometrically frustrated Ising nanoclusters
• Solving frustrated Ising models using tensor networks
• Thermodynamic description of the Ising antiferromagnet on triangular lattice with selective dilution by modified Pair Approximation method
• Entropy of spin clusters with frustrated geometry
• Residual entropy from temperature incremental Monte Carlo method