Spin susceptibility of quantum magnets from high to low temperatures

Abstract

We present a method to compute the magnetic susceptibility of spin systems at all temperatures in one and two dimensions. It relies on an approximation of the entropy versus energy (microcanonical potential function) on the whole range of energies. The intrinsic constraints on the entropy function and a careful treatment of boundary behaviors allow to extend the standard high temperature series expansions (HTE) towards zero temperature, overcoming the divergence of truncated HTE. This method is benchmarked against two one-dimensional solvable models: the Ising model in longitudinal field and the XY model in a transverse field. With ten terms in the HTE, we find a spin susceptibility within a few \% of the exact results in the whole range of temperature. The method is then applied to two two-dimensional models: the supposed-to-be gapped Heisenberg model and the $J_1$-$J_2$-$J_d$ model on the kagome lattice.

arXiv comment4 pages, 4 figures

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Cited by in corpus (28)

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• Thermodynamic properties of the Shastry-Sutherland model from quantum Monte Carlo simulations
• Nature of the spin liquid ground state in a breathing kagome compound studied by NMR and series expansion
• Vesignieite: a $S=\frac{1}{2}$ kagome antiferromagnet with dominant third-neighbor exchange
• Local study of the insulating quantum kagome antiferromagnets YCu3(OH)6OxCl3-x (x=0,1/3)
• Effect of perturbations on the kagome $S=1/2$ antiferromagnet at all temperatures
• Frustrated Heisenberg antiferromagnet on the honeycomb lattice: Spin gap and low-energy parameters
• Adapting Planck's route to investigate the thermodynamics of the spin-half pyrochlore Heisenberg antiferromagnet
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• High-temperature expansion for frustrated magnets: Application to the J1-J2 model on the BCC lattice
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• Similarity of thermodynamic properties of Heisenberg model on triangular and kagome lattices
• Logarithmic divergent specific heat from high-temperature series expansions: application to the two-dimensional XXZ Heisenberg model
• Gapped paramagnetic state in a frustrated spin-$\frac{1}{2}$ Heisenberg antiferromagnet on the cross-striped square lattice
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• Specific heat and susceptibility of S=1/2 antiferromagnets on square, triangular, and kagome lattices
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• Three-dimensional unfrustrated and frustrated quantum Heisenberg magnets. Specific heat study