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Title: Continuous phase transition between bosonic integer quantum Hall liquid and a trivial insulator: Evidence for deconfined quantum criticality

Abstract

The deconfined quantum critical point, a prototype Landau-forbidden transition, could exist, in principle, in the phase transitions involving a symmetry-protected topological phase; however, examples of such kinds of transitions in physical systems are rare beyond one-dimensional systems. Here, using a density-matrix renormalization-group calculation, we unveil a bosonic integer quantum Hall phase in a two-dimensional correlated honeycomb lattice, by full identification of its internal structure from the topological K matrix. Furthermore, we demonstrate that imbalanced periodic chemical potentials can destroy the bosonic integer quantum Hall state and drive it into a featureless trivial (Mott) insulator, where all physical observables evolve smoothly across the critical point. At the critical point, the entanglement entropy reveals a characteristic scaling behavior, which is consistent with the critical field theory as an emergent QED3 with two flavors of Dirac fermions.

Authors:
ORCiD logo [1];  [2];  [1]
  1. Westlake Univ., Hangzhou (China)
  2. California State Univ., Northridge, CA (United States)
Publication Date:
Research Org.:
California State Univ., Northridge, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1594983
Grant/Contract Number:  
FG02-06ER46305; 11974288
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 101; Journal Issue: 3; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; bosonic integer quantum Hall; deconfined quantum criticality; QED3; Dirac fermions; topological K matrix

Citation Formats

Zeng, Tian-Sheng, Sheng, D. N., and Zhu, W. Continuous phase transition between bosonic integer quantum Hall liquid and a trivial insulator: Evidence for deconfined quantum criticality. United States: N. p., 2020. Web. doi:10.1103/PhysRevB.101.035138.
Zeng, Tian-Sheng, Sheng, D. N., & Zhu, W. Continuous phase transition between bosonic integer quantum Hall liquid and a trivial insulator: Evidence for deconfined quantum criticality. United States. doi:10.1103/PhysRevB.101.035138.
Zeng, Tian-Sheng, Sheng, D. N., and Zhu, W. Thu . "Continuous phase transition between bosonic integer quantum Hall liquid and a trivial insulator: Evidence for deconfined quantum criticality". United States. doi:10.1103/PhysRevB.101.035138.
@article{osti_1594983,
title = {Continuous phase transition between bosonic integer quantum Hall liquid and a trivial insulator: Evidence for deconfined quantum criticality},
author = {Zeng, Tian-Sheng and Sheng, D. N. and Zhu, W.},
abstractNote = {The deconfined quantum critical point, a prototype Landau-forbidden transition, could exist, in principle, in the phase transitions involving a symmetry-protected topological phase; however, examples of such kinds of transitions in physical systems are rare beyond one-dimensional systems. Here, using a density-matrix renormalization-group calculation, we unveil a bosonic integer quantum Hall phase in a two-dimensional correlated honeycomb lattice, by full identification of its internal structure from the topological K matrix. Furthermore, we demonstrate that imbalanced periodic chemical potentials can destroy the bosonic integer quantum Hall state and drive it into a featureless trivial (Mott) insulator, where all physical observables evolve smoothly across the critical point. At the critical point, the entanglement entropy reveals a characteristic scaling behavior, which is consistent with the critical field theory as an emergent QED3 with two flavors of Dirac fermions.},
doi = {10.1103/PhysRevB.101.035138},
journal = {Physical Review B},
issn = {2469-9950},
number = 3,
volume = 101,
place = {United States},
year = {2020},
month = {1}
}

Journal Article:
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