4.8 Article

Thermodynamics of the 3D Hubbard Model on Approaching the Neel Transition

期刊

PHYSICAL REVIEW LETTERS
卷 106, 期 3, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.106.030401

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资金

  1. Swiss National Science foundation
  2. National Science Foundation [DMR-0705847, PHY-0653183]
  3. ANR [ANR-BLAN-6238]
  4. Aspen Center for Physics
  5. Army Research Office
  6. DARPA
  7. DFG through the collaborative research center [SFB 602]

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We study the thermodynamic properties of the 3D Hubbard model for temperatures down to the Neel temperature by using cluster dynamical mean-field theory. In particular, we calculate the energy, entropy, density, double occupancy, and nearest-neighbor spin correlations as a function of chemical potential, temperature, and repulsion strength. To make contact with cold-gas experiments, we also compute properties of the system subject to an external trap in the local density approximation. We find that an entropy per particle S/N approximate to 0.65(6) at U/t = 8 is sufficient to achieve a Neel state in the center of the trap, substantially higher than the entropy required in a homogeneous system. Precursors to antiferromagnetism can clearly be observed in nearest-neighbor spin correlators.

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