Physical review. B, Condensed matter

Single-particle excitation spectrum of the anyon gas

Alexander L. Fetter, Charles B. Hanna

Published Oct 1, 1992• 4 citations

Abstract

The single-particle energy spectrum of the anyon gas is calculated in the Hartree-Fock approximation, for all fractional statistics corresponding to a ground state with an integral number of filled Landau levels. We also compute the first-order shift in the ground-state energy as a function of the statistics.

DOI: 10.1103/physrevb.46.9063

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Physical review. B, Condensed matter

Single-particle excitation spectrum of the anyon gas

Alexander L. Fetter, Charles B. Hanna

Published Oct 1, 1992• 4 citations

Publisher

Abstract

DOI: 10.1103/physrevb.46.9063

Related papers

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{r}_{s}

, respectively). We determine this function by fitting to the ground-state energies of the classical electron crystal at very large

{r}_{s}

(the 2D Wigner crystal), and to the Hartree-Fock (HF) energy of the spin-polarized 2D electron gas, and the dense 2D Coulomb Bose gas at very small

{r}_{s}

. The latter is calculated by use of the Bogoliubov approximation. Applied to the boson system $(\ensuremath{\nu}=0)$ our results are very close to recent results from Monte Carlo (MC) calculations. For spin-polarized electron systems $(\ensuremath{\nu}=1)$ our comparison leads to a critical judgment concerning the density range, to which the HF approximation and MC simulations apply. In dependence on $\ensuremath{\nu}$, our analytic formula yields ground-state energies, which monotonously increase from the bosonic to the fermionic side if

{r}_{s}>1

. For ${r}_{s}\ensuremath{\leqslant}1$ it shows a nonmonotonous behavior indicating a breakdown of the assumed continuous transformation of bosons into fermions by variation of the parameter $\ensuremath{\nu}$.