Thermodynamics of Ising spins on the Triangular Kagome Lattice: Exact analytical method and Monte Carlo simulations

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dc.creatorLoh, Yen Lee
dc.creatorYao, Dao-Xin
dc.creatorCarlson, Erica W.
dc.date2007-11-23
dc.date2008-04-28
dc.date.accessioned2026-07-07T09:35:12Z
dc.date.available2026-07-07T09:35:12Z
dc.descriptionWe study the thermodynamics of Ising spins on the triangular kagome lattice (TKL) using exact analytic methods as well as Monte Carlo simulations. We present the free energy, internal energy, specific heat, entropy, sublattice magnetizations, and susceptibility. We describe the rich phase diagram of the model as a function of coupling constants, temperature, and applied magnetic field. For frustrated interactions in the absence of applied field, the ground state is a spin liquid phase with integer residual entropy per spin $s_0/k_B={1/9} \ln 72\approx 0.4752...$. In weak applied field, the system maps to the dimer model on a honeycomb lattice, with irrational residual entropy 0.0359 per spin and quasi-long-range order with power-law spin-spin correlations that should be detectable by neutron scattering. The power-law correlations become exponential at finite temperatures, but the correlation length may still be long.
dc.description15 pages, 16 figures, published version (http://www.physics.purdue.edu/~dyao/)
dc.identifierhttps://arxiv.org/abs/0711.3471
dc.identifierhttp://arxiv.org/abs/0711.3471
dc.identifierPhys. Rev. B 77, 134402 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.134402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159754
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.titleThermodynamics of Ising spins on the Triangular Kagome Lattice: Exact analytical method and Monte Carlo simulations
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