Quantitative determination of the Hubbard model phase diagram from optical lattice experiments by two-parameter scaling

Campo, Vivaldo L and Capelle, Klaus and Quintanilla, Jorge and Hooley, Chris (2007) Quantitative determination of the Hubbard model phase diagram from optical lattice experiments by two-parameter scaling. Physical Review Letters: Moving Physics Forward, 99 (24). ISSN 0031-9007. (Full text available)

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http://dx.doi.org/10.1103/PhysRevLett.99.240403

Abstract

We propose an experiment to obtain the phase diagram of the fermionic Hubbard model, for any dimensionality, using cold atoms in optical lattices. It is based on measuring the total energy for a sequence of trap profiles. It combines finite-size scaling with an additional “finite-curvature scaling” necessary to reach the homogeneous limit. We illustrate its viability in the 1D case, simulating experimental data in the Bethe-ansatz local-density approximation. Including experimental errors, the filling corresponding to the Mott transition can be determined with better than 3% accuracy.

Item Type: Article
Additional information: Article Number: 240403
Subjects: Q Science > QC Physics
Divisions: Faculties > Science Technology and Medical Studies > School of Physical Sciences > Functional Materials Group
Depositing User: Jorge Quintanilla
Date Deposited: 14 Oct 2010 14:37
Last Modified: 07 May 2014 10:42
Resource URI: http://kar.kent.ac.uk/id/eprint/25602 (The current URI for this page, for reference purposes)
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