Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-12-19
Int. J. Mod. Phys. B24, 549 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, entirely revised version, major conceptual changes
Scientific paper
We investigate the structure of gapless edge modes propagating at the boundary of some fractional quantum Hall states. We show how to deduce explicit trial wavefunctions from the knowledge of the effective theory governing the edge modes. In general quantum Hall states have many edge states. Here we discuss the case of fractions having only two such modes. The case of spin-polarized and spin-singlet states at filling fraction 2/5 is considered. We give an explicit description of the decoupled charged and neutral modes. Then we discuss the situation involving negative flux acting on the composite fermions. This happens notably for the filling factor 2/3 which supports two counterpropagating modes. Microscopic wavefunctions for spin-polarized and spin-singlet states at this filling factor are given. Finally we present an analysis of the edge structure of a non-Abelian state involving also negative flux. Counterpropagating modes involve in all cases explicit derivative operators diminishing the angular momentum of the system.
Milovanović Milica V.
ur Jolicœ Th.
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