The plasma picture of the fractional quantum Hall effect with internal SU(K) symmetries

Abstract : We consider trial wavefunctions exhibiting SU(K) symmetry which may be well-suited to grasp the physics of the fractional quantum Hall effect with internal degrees of freedom. Systems of relevance may be either spin-unpolarized states (K=2), semiconductors bilayers (K=2,4) or graphene (K=4). We find that some introduced states are unstable, undergoing phase separation or phase transition. This allows us to strongly reduce the set of candidate wavefunctions eligible for a particular filling factor. The stability criteria are obtained with the help of Laughlin's plasma analogy, which we systematically generalize to the multicomponent SU(K) case. The validity of these criteria are corroborated by exact-diagonalization studies, for SU(2) and SU(4). Furthermore, we study the pair-correlation functions of the ground state and elementary charged excitations within the multicomponent plasma picture.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00275507
Contributor : Nicolas Regnault <>
Submitted on : Thursday, April 24, 2008 - 11:27:11 AM
Last modification on : Saturday, February 8, 2020 - 5:14:03 PM

Links full text

Identifiers

  • HAL Id : hal-00275507, version 1
  • ARXIV : 0710.5905

Citation

R. de Gail, N. Regnault, M. O. Goerbig. The plasma picture of the fractional quantum Hall effect with internal SU(K) symmetries. Physical Review B : Condensed matter and materials physics, American Physical Society, 2008, 77, pp.165310. ⟨hal-00275507⟩

Share

Metrics

Record views

135