Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets

Laura Messio; Frédéric Mila

doi:10.1103/physrevlett.109.205306

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arXiv · 1207.1320

Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets

Laura Messio·Frédéric Mila

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Abstract

Motivated by the possibility to load multi-color fermionic atoms in optical lattices, we study the entropy dependence of the properties of the one-dimensional antiferromagnetic SU(N) Heisenberg model, the effective model of the SU(N) Hubbard model with one particle per site (filling 1/N). Using continuous-time world line Monte Carlo simulations for N=2 to 5, we show that characteristic short-range correlations develop at low temperature as a precursor of the ground state algebraic correlations. We also calculate the entropy as a function of temperature, and we show that the first sign of short-range order appears at an entropy per particle that increases with N and already reaches 0.8k_B at N=4, in the range of experimentally accessible values.

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BibTeX RIS

Laura Messio, Frédéric Mila. 2012-07-05. Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets. https://doi.org/10.1103/physrevlett.109.205306

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