Approximate ground state of a confined Coulomb anyon gas in an external magnetic field

DOI to cite this document:: 10.5283/epub.1338

Abdullaev, B. ; Ortiz, G. ; Rössler, Ulrich ; Musakhanov, M. ; Nakamura, A.

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Date of publication of this fulltext: 05 Aug 2009 13:27

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Abstract

We derive an analytic, albeit approximate, expression for the ground state energy of N Coulomb interacting anyons with fractional statistics nu, 0$\lt$=|nu|$\lt$=1, confined in a two-dimensional well (with characteristic frequency omega0) and subjected to an external magnetic field (with cyclotron frequency omegac). We apply a variational principle combined with a regularization procedure which ...