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Logarithmic divergent specific heat from high-temperature series expansions: application to the two-dimensional XXZ Heisenberg model
release_hu772nqhb5g2thzoecmd23chr4
by
M. G. Gonzalez, B. Bernu, L. Pierre, L. Messio
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as a article
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2021
Abstract
We present an interpolation method for the specific heat c_v(T), when there
is a phase transition with a logarithmic singularity in c_v at a critical
temperature T=T_c. The method uses the fact that c_v is constrained both by
its high temperature series expansion, and just above T_c by the type of
singularity. We test our method on the ferro and antiferromagnetic Ising model
on the two-dimensional square, triangular, honeycomb, and kagome lattices,
where we find an excellent agreement with the exact solutions. We then explore
the XXZ Heisenberg model, for which no exact results are available.
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2108.03010v1
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