Integer quantum Hall effect for bosons: A physical realization
arXiv:1206.1604 · doi:10.1103/PhysRevLett.110.046801
Abstract
A simple physical realization of an integer quantum Hall state of interacting two dimensional bosons is provided. This is an example of a "symmetry-protected topological" (SPT) phase which is a generalization of the concept of topological insulators to systems of interacting bosons or fermions. Universal physical properties of the boson integer quantum Hall state are described and shown to correspond to those expected from general classifications of SPT phases.
4+ pages
References in corpus (5)
- Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
- Classification and analysis of two dimensional abelian fractional topological insulators
- Quantum Hall States in Rapidly Rotating Two-Component Bose Gases
- Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields
- Phases and phase transitions in a system with mutual statistics
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