Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-10-31
Phys. Rev. B 77, 165310 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
13 pages, 7 figures; reference added, accepted for publication in PRB
Scientific paper
10.1103/PhysRevB.77.165310
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.
Gail R. de
Goerbig Mark O.
Regnault Nicolas
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