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Dresden 2011 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 37: MLT: Quantum Liquids, Bose-Einstein Condensates, Ultra-cold Atoms, ...

TT 37.11: Talk

Wednesday, March 16, 2011, 17:00–17:15, HSZ 105

Thermodynamics of the 3D Hubbard model on approach to the Néel transition — •Sebastian Fuchs1, Emanuel Gull2, Lode Pollet3,4, Evgeny Burovski5,6, Evgeny Kozik4, Thomas Pruschke1, and Matthias Troyer41Institut für Theoretische Physik, Georg-August-Universität Göttingen, 37077 Göttingen, Germany — 2Department of Physics, Columbia University, New York, NY 10027, USA — 3Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA — 4Theoretische Physik, ETH Zürich, 8093 Zürich, Switzerland — 5LPTMS, CNRS and Université Paris-Sud, 91405 Orsay, France — 6Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK

We study the thermodynamic properties of the 3D Hubbard model for temperatures down to the Néel temperature using cluster dynamical mean-field theory [1]. 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 ≈ 0.65(6) at U/t=8 is sufficient to achieve a Néel 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 [2].
T. Maier et al., Rev. Mod. Phys. 77, 1027 (2005)
S. Fuchs et al., arXiv:1009.2759v1 (2010)

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