title: Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets.
abstract: Motivated by the possibility to load multicolor 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) in the large U/t limit. Using continuous-time world-line Monte Carlo simulations for N=2-5, 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.
authors.affiliation: Institut de Physique Théorique (IPhT), CEA, CNRS, URA 2306, F-91191 Gif-sur-Yvette, France.
authors.forename: Laura
authors.initials: L
authors.lastname: Messio
authors.forename: Frédéric
authors.initials: F
authors.lastname: Mila