Finite Temperature Critical Behavior of Mutual Information

Details Finite Temperature Critical Behavior of Mutual Information Finite Temperature Critical Behavior of Mutual Information

2011-01-02

arxiv.org/abs/1101.0430v2

Phys. Rev. Lett. 106, 135701 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, 1 table. To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.106.135701

We study mutual information for Renyi entropy of arbitrary index n, in interacting quantum systems at finite-temperature critical points, using high-temperature expansion, quantum Monte Carlo simulations and scaling theory. We find that for n>1, the critical behavior is manifest at two temperatures T_c and n*T_c. For the XXZ model with Ising anisotropy, the coefficient of the area-law has a t*ln(t) singularity, whereas the subleading correction from corners has a logarithmic divergence, with a coefficient related to the exact results of Cardy and Peschel. For T

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