A one-to-two dimensional mapping using a partial fast Fourier transform
Strongly Correlated Electrons
2011-06-29 v1
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 with the presence of a single flux quantum spread evenly on the torus. The mapping is 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.
Keywords
Cite
@article{arxiv.1106.5663,
title = {A one-to-two dimensional mapping using a partial fast Fourier transform},
author = {Stellan Ostlund},
journal= {arXiv preprint arXiv:1106.5663},
year = {2011}
}