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

Zeng, Tian-Sheng; Sheng, D. N.; Zhu, W.

doi:10.1103/PhysRevB.101.035138

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

Journal Article · 23 January 2020 · Physical Review B

DOI: https://doi.org/10.1103/PhysRevB.101.035138 · OSTI ID:1594983

^[1]; Sheng, D. N. ^[2]; Zhu, W. ^[1]

Westlake Univ., Hangzhou (China)
California State Univ., Northridge, CA (United States)

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.

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Research Organization:: California State University, Northridge (CSUN), CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: FG02-06ER46305; 11974288

OSTI ID:: 1594983

Journal Information:: Physical Review B, Vol. 101, Issue 3; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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36 MATERIALS SCIENCE
bosonic integer quantum Hall
deconfined quantum criticality
QED3
Dirac fermions
topological K matrix

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

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