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Title: Exciton condensation in quantum Hall bilayers at total filling ν T = 5

Abstract

We introduce the coupled quantum Hall bilayers each at half-filled first excited Landau levels with varying the layer distance. Based on numerical exact diagonalization on torus, we identify two distinct phases separated by a critical layer distance dc. From dc to infinite layer distance, the topological phase is smoothly connected to a direct tensor product of two Moore-Read states, while the interlayer coherence emerges at d < dc characterizedby the xy easy-plane ferromagnetic energy spectra, gapless pseudospin excitations and the finite exciton super-fluid stiffness, corresponding to the exciton superfluid state. More interestingly, the results of the ground state fidelity, the evolution of energy spectra, and the superfluid stiffness indicate a possible continuous transition.Theoretically it can be interpreted as a topological phase transition which simultaneously changes the topology of ground state and breaks symmetry, providing a fascinating example of transitions beyond Landau paradigm.

Authors:
 [1];  [2];  [3]
  1. California State Univ. Northridge (CSUN), Northridge, CA (United States); Harvard Univ., Cambridge, MA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Harvard Univ., Cambridge, MA (United States); Tsinghua Univ., Beijing (China)
  3. California State Univ. Northridge (CSUN), Northridge, CA (United States)
Publication Date:
Research Org.:
California State Univ. Northridge (CSUN), Northridge, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1513808
Alternate Identifier(s):
OSTI ID: 1514730
Grant/Contract Number:  
[FG02-06ER46305]
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
[ Journal Volume: 99; Journal Issue: 20]; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Zhu, Zheng, Jian, Shao-Kai, and Sheng, D. N. Exciton condensation in quantum Hall bilayers at total filling νT=5. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.201108.
Zhu, Zheng, Jian, Shao-Kai, & Sheng, D. N. Exciton condensation in quantum Hall bilayers at total filling νT=5. United States. doi:10.1103/PhysRevB.99.201108.
Zhu, Zheng, Jian, Shao-Kai, and Sheng, D. N. Mon . "Exciton condensation in quantum Hall bilayers at total filling νT=5". United States. doi:10.1103/PhysRevB.99.201108.
@article{osti_1513808,
title = {Exciton condensation in quantum Hall bilayers at total filling νT=5},
author = {Zhu, Zheng and Jian, Shao-Kai and Sheng, D. N.},
abstractNote = {We introduce the coupled quantum Hall bilayers each at half-filled first excited Landau levels with varying the layer distance. Based on numerical exact diagonalization on torus, we identify two distinct phases separated by a critical layer distance dc. From dc to infinite layer distance, the topological phase is smoothly connected to a direct tensor product of two Moore-Read states, while the interlayer coherence emerges at d < dc characterizedby the xy easy-plane ferromagnetic energy spectra, gapless pseudospin excitations and the finite exciton super-fluid stiffness, corresponding to the exciton superfluid state. More interestingly, the results of the ground state fidelity, the evolution of energy spectra, and the superfluid stiffness indicate a possible continuous transition.Theoretically it can be interpreted as a topological phase transition which simultaneously changes the topology of ground state and breaks symmetry, providing a fascinating example of transitions beyond Landau paradigm.},
doi = {10.1103/PhysRevB.99.201108},
journal = {Physical Review B},
number = [20],
volume = [99],
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
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