Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-03-25
Phys. Rev. B 79, 245325 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
14 pages, 8 figures; minor changes, accepted for publication in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.79.245325
We investigate, with the help of Monte-Carlo and exact-diagonalization calculations in the spherical geometry, several compressible and incompressible candidate wave functions for the recently observed quantum Hall state at the filling factor $\nu=1/4$ in a wide quantum well. The quantum well is modeled as a two-component system by retaining its two lowest subbands. We make a direct connection with the phenomenological effective-bilayer model, which is commonly used in the description of a wide quantum well, and we compare our findings with the established results at $\nu=1/2$ in the lowest Landau level. At $\nu=1/4$, the overlap calculations for the Halperin (5,5,3) and (7,7,1) states, the generalized Haldane-Rezayi state and the Moore-Read Pfaffian, suggest that the incompressible state is likely to be realized in the interplay between the Halperin (5,5,3) state and the Moore-Read Pfaffian. Our numerics shows the latter to be very susceptible to changes in the interaction coefficients, thus indicating that the observed state is of multicomponent nature.
Goerbig Mark O.
Milovanović Milica V.
Moller Greg
Papić Zlatko
Regnault Nicolas
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