Exact results for a charged, harmonically trapped quantum gas at arbitrary temperature and magnetic field strength

Details Exact results for a charged, harmonically trapped quantum gas at arbitrary temperature and magnetic field strength Exact results for a charged, harmonically trapped quantum gas at arbitrary temperature and magnetic field strength

2006-10-11

arxiv.org/abs/cond-mat/0610308v1

Physics

Condensed Matter

Statistical Mechanics

To appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.74.205334

An analytical expression for the first-order density matrix of a charged, two-dimensional, harmonically confined quantum gas, in the presence of a constant magnetic field is derived. In contrast to previous results available in the literature, our expressions are exact for any temperature and magnetic field strength. We also present a novel factorization of the Bloch density matrix in the form of a simple product with a clean separation of the zero-field and field-dependent parts. This factorization provides an alternative way of analytically investigating the effects of the magnetic field on the system, and also permits the extension of our analysis to other dimensions, and/or anisotropic confinement.

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