Abdullaev, B. and Ortiz, G. and Roessler, Ulrich and Musakhanov, M. and Nakamura, A. (2003) Approximate ground state of a confined Coulomb anyon gas in an external magnetic field. PHYSICAL REVIEW B, 68 (16): 165105. ISSN 1098-0121, 1550-235X
Full text not available from this repository.Abstract
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 a regularization procedure which consists of fitting a cutoff parameter to existing exact analytical results in the noninteracting case, and to numerical calculations for electrons in quantum dots in the interacting case. The resulting expression depends upon parameters of the system \nu\,N,omega(0),r(0),a(B) and omega(c), where r(0) represents a characteristic unit length and a(B) the Bohr radius. Validity of the result is critically assessed by a comparison with exact, approximate, and numerical results from the literature.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | OBEYING FRACTIONAL STATISTICS; QUANTUM DOTS; WAVE-FUNCTIONS; MONTE-CARLO; BOSONIC END; PERTURBATIVE EQUATION; SPECTRA; MECHANICS; PARTICLES; ELECTRONS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Ulrich Rössler |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Jul 2021 10:51 |
| Last Modified: | 28 Jul 2021 10:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/38516 |
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