Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime

Details Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime

2007-01-11

arxiv.org/abs/cond-mat/0701260v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.75.195306

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.

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