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Bilayer Quantum Hall States at ν=1 and Coulomb Drag

2000/11/28 by Yong Baek Kim, Chetan Nayak, Kim, Yong Baek +7
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Molecular Junctions and Nanostructures #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0011459

Supersedes cond-mat/0010226

arxiv created 2000/11/28 · openalex publication_date 2000/11/28 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We consider a number of strongly-correlated quantum Hall states which are likely to be realized in bilayer quantum Hall systems at total Landau level filling fraction νT=1. One state, the (3,3,-1) state, can occur as an instability of a compressible state in the large d/lB limit, where d and lB are the interlayer distance and magnetic length, respectively. This state has a hierarchical descendent which is interlayer coherent. Another interlayer coherent state, which is expected in the small d/lB limit is the well-known Halperin (1,1,1) state. Using the concept of composite fermion pairing, we discuss the wavefunctions which describe these states. We construct a phase diagram using the Chern-Simons Landau-Ginzburg theory and discuss the transitions between the various phases. We propose that the longitudinal and Hall drag resistivities can be used together with interlayer tunneling to experimentally distinguish these different quantum Hall states. Our work indicates the bilayer νT=1 quantum Hall phase diagram to be considerably richer than that assumed so far in the literature.

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