Wave Function and Emergent SU(2) Symmetry in the νt=1 Quantum Hall Bilayer

Biao Lian, Shou Cheng Zhang

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3 Scopus citations

Abstract

We propose a trial wave function for the quantum Hall bilayer system of total filling factor νT=1 at a layer distance d to magnetic length ratio d/=κc1≈1.1, where the lowest charged excitation is known to have a level crossing. The wave function has two-particle correlations, which fit well with those in previous numerical studies, and can be viewed as a Bose-Einstein condensate of free excitons formed by composite bosons and anticomposite bosons in different layers. We show the free nature of these excitons indicating an emergent SU(2) symmetry for the composite bosons at d/=κc1, which leads to the level crossing in low-lying charged excitations. We further show the overlap between the trial wave function, and the ground state of a small size exact diagonalization is peaked near d/=κc1, which supports our theory.

Original languageEnglish (US)
Article number077601
JournalPhysical review letters
Volume120
Issue number7
DOIs
StatePublished - Feb 16 2018

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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