Chiral spin liquid from magnetic Wannier states
arXiv:1601.00968 · doi:10.1103/PhysRevB.93.125126
Abstract
We present a mapping of a two-dimensional system of interacting bosons in a strong perpendicular magnetic field to an equivalent system of interacting bosons on the square lattice in the absence of the field. The mapping utilizes a magnetic Bloch and the corresponding magnetic Wannier single-particle basis in the lowest Landau level. By construction, the ground states of the resulting model of interacting bosons on the square lattice are gapped fractionalized liquids or gapless Bose metal states with broken time reversal symmetry at specific rational filling fractions.
6+ pages, 2 figures, added references, published version
References in corpus (18)
- High temperature fractional quantum Hall states
- Fractional quantum Hall states at zero magnetic field
- Nearly-flat bands with nontrivial topology
- Fractional quantum Hall effect in the absence of Landau levels
- An exact chiral spin liquid with non-Abelian anyons
- Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
- Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
- Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
- Position-Momentum Duality and Fractional Quantum Hall Effect in Chern Insulators
- D-wave correlated Critical Bose Liquids in two dimensions
- Gauge-Fixed Wannier Wave-Functions for Fractional Topological Insulators
- Distinct Spin Liquids and their Transitions in Spin-1/2 XXZ Kagome Antiferromagnets
- Adiabatic continuation of Fractional Chern Insulators to Fractional Quantum Hall States
- Bosonic Integer Quantum Hall effect in an interacting lattice model
- Enhancing the stability of a fractional Chern insulator against competing phases
- Adiabatic continuity between Hofstadter and Chern insulator states
- Strong-Coupling Phases of Frustrated Bosons on a 2-leg Ladder with Ring Exchange
- Kagome chiral spin liquid as a gauged U(1) symmetry protected topological phase