# Fractional quantum Hall state at ?=(1)/(4) in a wide quantum well

Papi?, Zlatko, Möller, Gunnar, Milovanovic, M V, Regnault, N, Goerbig, M O (2009) Fractional quantum Hall state at ?=(1)/(4) in a wide quantum well. Physical Review B: Condensed Matter and Materials Physics, 79 (2). p. 245325. ISSN 0163-1829. (doi:10.1103/PhysRevB.79.245325)

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## Abstract

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.

Item Type: Article 10.1103/PhysRevB.79.245325 Physics of Quantum Materials Q Science > QC Physics > QC173.45 Condensed Matter Faculties > Sciences > School of Physical Sciences > Functional Materials Group Gunnar Moller 05 Dec 2017 15:21 UTC 05 Jul 2019 10:37 UTC https://kar.kent.ac.uk/id/eprint/55548 (The current URI for this page, for reference purposes) https://orcid.org/0000-0001-8986-0899
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