Numerical Study of Quantum Hall Bilayers at Total Filling νT=1 : A New Phase at Intermediate Layer Distances

Zhu, Zheng; Fu, Liang; Sheng, D. N.

doi:10.1103/physrevlett.119.177601

Title: Numerical Study of Quantum Hall Bilayers at Total Filling $ν_{T} = 1$ : A New Phase at Intermediate Layer Distances

Journal Article · Mon Oct 23 00:00:00 EDT 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.119.177601· OSTI ID:1505729

Zhu, Zheng ^[1]; Fu, Liang ^[1]; Sheng, D. N. ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
California State Univ. Northridge (CSUN), Northridge, CA (United States)

We view the phase diagram of quantum Hall bilayer systems with total filing $ν_{T} = 1/2$ + 1/2 of the lowest Landau level as a function of layer distances d. Based on numerical exact diagonalization calculations, we obtain three distinct phases, including an exciton superfluid phase with spontaneous interlayer coherence at small d, a composite Fermi liquid at large d, and an intermediate phase for 1.1 < d/l_B < 1.8 (l_B is the magnetic length). The transition from the exciton superfluid to the intermediate phase is identified by (i) a dramatic change in the Berry curvature of the ground state under twisted boundary conditions on the two layers and (ii) an energy level crossing of the first excited state. The transition from the intermediate phase to the composite Fermi liquid is identified by the vanishing of the exciton superfluid stiffness. Moreover, from our finite-size study, the energy cost of transferring one electron between the layers shows an even-odd effect and possibly extrapolates to a finite value in the thermodynamic limit, indicating the enhanced intralayer correlation. Our identification of an intermediate phase and its distinctive features shed new light on the theoretical understanding of the quantum Hall bilayer system at total filling $ν_{T} = 1$ .

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); California State Univ. Northridge (CSUN), Northridge, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-06ER46305; SC0010526

OSTI ID:: 1505729

Alternate ID(s):: OSTI ID: 1402172

Journal Information:: Physical Review Letters, Vol. 119, Issue 17; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 32 works

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