English

Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime

Mesoscale and Nanoscale Physics 2009-11-13 v2 Strongly Correlated Electrons

Abstract

In fractional quantum Hall physics, the Hilbert space is projected to a single Landau level and the entire Hamiltonian consists of just the projected inter-electron interaction. Haldane's pseudopotential formalism has been an extremely useful tool both for understanding these interactions, and for understanding the quantum Hall states that result. In the current paper we consider the analogue of this pseudopotential construction that results from general M-body interactions rather than the usual (Coulomb) two-body interaction.

Keywords

Cite

@article{arxiv.cond-mat/0701260,
  title  = {Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime},
  author = {Steven H. Simon and E. H. Rezayi and Nigel R. Cooper},
  journal= {arXiv preprint arXiv:cond-mat/0701260},
  year   = {2009}
}

Comments

Revision: one citation changed. 11+epsilon pages, 1 table, no figures