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

DOI zum Zitieren dieses Dokuments:: 10.5283/epub.1338

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

; Nakamura, A.

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Veröffentlichungsdatum dieses Volltextes: 05 Aug 2009 13:27

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Zusammenfassung

We derive an analytic, albeit approximate, expression for the ground state energy of N Coulomb interacting anyons with fractional statistics nu, 0less than or equal to\nu\less than or equal to1, confined in a two-dimensional well (with characteristic frequency omega(0)) and subjected to an external magnetic field (with cyclotron frequency omega(c)). We apply a variational principle combined with ...