Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
976151 | Physica A: Statistical Mechanics and its Applications | 2010 | 6 Pages |
Abstract
It will be shown how to map a simple one-dimensional tight binding model with a cosine potential in one dimension exactly to a two-dimensional tight binding model with periodic boundary conditions in the presence of a single flux quantum spread evenly on the torus. The mapping is achieved by a partial sequence of “Fast Fourier Transform” (FFT) steps which if completed would be an exact Fourier transform of the original model. Each step of the FFT recursively maps a tight binding model into two decoupled sublattices of half the lattice length.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Stellan Ãstlund,