2011/06/05 by Thereza Paiva, Yen Lee Loh, Mohit Randeria +2 · 3 citations
Physics and Astronomy · #Antiferromagnetism #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #Hubbard model #Monte Carlo method #Optical lattice #Physics #Physics of Superconductivity and Magnetism #Quantum Monte Carlo #Quantum many-body systems #Quantum mechanics #Superconductivity #Superfluidity #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevlett.107.086401
4 pages; 5 figures; also see supplementary material in 2 pages with 1 figure
arxiv created 2011/06/05 · openalex publication_date 2011/08/17 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A major challenge in realizing antiferromagnetic and superfluid phases in optical lattices is the ability to cool fermions. We determine the equation of state for the 3D repulsive Fermi-Hubbard model as a function of the chemical potential, temperature, and repulsion using unbiased determinantal quantum Monte Carlo methods, and we then use the local density approximation to model a harmonic trap. We show that increasing repulsion leads to cooling but only in a trap, due to the redistribution of entropy from the center to the metallic wings. Thus, even when the average entropy per particle is larger than that required for antiferromagnetism in the homogeneous system, the trap enables the formation of an antiferromagnetic Mott phase.