Journal
PHYSICAL REVIEW A
Volume 101, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.101.013629
Keywords
-
Categories
Funding
- National Science Foundation [PHY-1806357]
- ARO-MURI Non-equilibrium Many-body Dynamics Grant [W9111NF-14-1-0003]
Ask authors/readers for more resources
We construct and characterize tight-binding Hamiltonians which contain a completely flat topological band made of continuum lowest Landau-level wave functions sampled on a lattice. We find an infinite family of such Hamiltonians, with simple analytic descriptions. These provide a valuable tool for constructing exactly solvable models. We also implement a numerical algorithm for finding the most local Hamiltonian with a flat Landau level. We find intriguing structures in the spatial dependence of the matrix elements for this optimized model. The models we construct serve as foundations for numerical and experimental studies of topological systems, both noninteracting and interacting.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available