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 Troyer4 — 1Institut 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)