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arXiv · 1506.01645

Bosonic Integer Quantum Hall effect in an interacting lattice model

Yin-Chen He·Subhro Bhattacharjee·R. Moessner·Frank Pollmann
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Abstract

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 $|\sigma_{xy}|= 2$ (ii) two counter propagating 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.

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Yin-Chen He, Subhro Bhattacharjee, R. Moessner, Frank Pollmann. 2015-06-04. Bosonic Integer Quantum Hall effect in an interacting lattice model. https://doi.org/10.1103/physrevlett.115.116803

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