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:
-
[1];
- Westlake Univ., Hangzhou (China)
- California State Univ., Northridge, CA (United States)
- Publication Date:
- Research Org.:
- California State University, Northridge (CSUN), 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:
- 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. https://doi.org/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. https://doi.org/10.1103/PhysRevB.101.035138. https://www.osti.gov/servlets/purl/1594983.
@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},
number = 3,
volume = 101,
place = {United States},
year = {Thu Jan 23 00:00:00 EST 2020},
month = {Thu Jan 23 00:00:00 EST 2020}
}
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