The 2-d Coulomb Gas on a 1-d lattice
Condensed Matter
2009-10-31 v1
Abstract
The statistical mechanics of a two dimensional Coulomb gas confined to one dimension is studied, wherein hard core particles move on a ring. Exact self-duality is shown for a version of the sine-Gordon model arising in this context, thereby locating the transition temperature exactly. We present asymptotically exact results for the correlations in the model and characterize the low and high temperature phases. Numerical simulations provide support to these renormalization group calculations. Connections with other interesting problems, the quantum Brownian motion of a particle in a periodic potential and impurity problems, are pointed out.
Keywords
Cite
@article{arxiv.cond-mat/9812067,
title = {The 2-d Coulomb Gas on a 1-d lattice},
author = {O. Narayan and B. S. Shastry},
journal= {arXiv preprint arXiv:cond-mat/9812067},
year = {2009}
}
Comments
15 pages, 7 figures