Solvable Lattice Hamiltonians with Fractional Hall Conductivity
arXiv:2107.02817 · doi:10.1103/PhysRevB.105.155130
Abstract
We construct a class of lattice Hamiltonians that exhibit fractional Hall conductivity. These Hamiltonians, while not being exactly solvable, can be controllably solved in their low energy sectors, through a combination of perturbative and exact techniques. Our construction demonstrates a systematic way to circumvent the Kapustin-Fidkowski no-go theorem and is generalizable.
arXiv comment24 pages, published version
References in corpus (14)
- Fault-tolerant quantum computation by anyons
- Anyons in an exactly solved model and beyond
- Generalized Global Symmetries
- String-net condensation: A physical mechanism for topological phases
- Symmetry protected topological orders and the group cohomology of their symmetry group
- Topological orders and Edge excitations in FQH states
- Models for gapped boundaries and domain walls
- Topological boundary conditions in abelian Chern-Simons theory
- Generalizations and limitations of string-net models
- Exactly soluble models for fractional topological insulators in 2 and 3 dimensions
- Exact realization of Integer and Fractional Quantum Hall Phases in U(1)xU(1) models in (2+1)d
- Local Commuting Projector Hamiltonians and the Quantum Hall Effect
- Lattice realization of a bosonic integer quantum Hall state - trivial insulator transition and relation to the self-dual line in the easy-plane NCCP1 model
- A Commuting Projector Model with a Non-zero Quantized Hall conductance