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

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.

5 pages, 3 figures, 2 tables

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Cited by in corpus (17)

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• Exact Diagonalization of Heisenberg SU(N) models
• Adiabatic loading of one-dimensional SU(N) alkaline earth fermions in optical lattices
• Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Variational Monte-Carlo investigation of SU($N$) Heisenberg chains
• Mott transitions in the half-filled SU(2M) symmetric Hubbard model
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Finite-temperature valence-bond-solid transitions and thermodynamic properties of interacting SU($2N$) Dirac fermions
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Even-odd effects in the $J_1-J_2$ SU($N$) Heisenberg spin chain
• Manifold formation and crossings of ultracold lattice spinor atoms in the intermediate interaction regime
• The dynamical structure factor of the SU(3) Heisenberg chain: The variational Monte Carlo approach