Bosonic integer quantum Hall effect in an interacting lattice model

We study a bosonic model with correlated hopping on a honeycomb lattice, and show that its ground state is a bosonic integer quantum Hall (BIQH) phase, a prominent example of a symmetry-protected topological (SPT) phase. By using the infinite density matrix renormalization group method, we establish...

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Bibliographic Details
Published in:Physical review letters 2015-09, Vol.115 (11), p.116803-116803, Article 116803
Main Authors: He, Yin-Chen, Bhattacharjee, Subhro, Moessner, R, Pollmann, Frank
Format: Article
Language:English
Subjects:
Conductance
Density
Honeycomb
Integers
Lattices
Mathematical models
Quantum Hall effect
Symmetry
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Summary:We study a bosonic model with correlated hopping on a honeycomb lattice, and show that its ground state is a bosonic integer quantum Hall (BIQH) phase, a prominent example of a symmetry-protected topological (SPT) phase. By using the infinite density matrix renormalization group method, we establish the existence of the BIQH phase by providing clear numerical evidence: (i) a quantized Hall conductance with |σ_{xy}|=2, (ii) two counterpropagating gapless edge modes. Our simple model is an example of a novel class of systems that can stabilize SPT phases protected by a continuous symmetry on lattices and opens up new possibilities for the experimental realization of these exotic phases.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.115.116803