Interaction and Particle-Hole Symmetry of Laughlin Quasiparticles

Details Interaction and Particle-Hole Symmetry of Laughlin Quasiparticles Interaction and Particle-Hole Symmetry of Laughlin Quasiparticles

2001-01-10

arxiv.org/abs/cond-mat/0101134v1

Phys. Rev. B 63, 235322 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures, submitted to Phys.Rev.B

Scientific paper

10.1103/PhysRevB.63.235322

The pseudopotentials describing interaction of Laughlin quasielectrons (QE) and quasiholes (QH) in an infinite fractional quantum Hall system are studied. The QE and QH pseudopotentials are similar which suggests the (approximate) particle--hole symmetry recovered in the thermodynamical limit. The problem of the hypothetical symmetry-breaking QE hard-core repulsion is resolved by the estimate that the ``forbidden'' QE pair state has too high energy and is unstable. Strong oscillations of the QE and QH pseudopotentials persist in an infinite system, and the analogous QE and QH pair states with small relative angular momentum and nearly vanishing interaction energy are predicted.

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