Bosonization, vicinal surfaces, and hydrodynamic fluctuation theory
Statistical Mechanics
2009-10-31 v1 Strongly Correlated Electrons
Abstract
Through a Euclidean path integral we establish that the density fluctuations of a Fermi fluid in one dimension are related to vicinal surfaces and to the stochastic dynamics of particles interacting through long range forces with inverse distance decay. In the surface picture one easily obtains the Haldane relation and identifies the scaling exponents governing the low energy, Luttinger liquid behavior. For the stochastic particle model we develop a hydrodynamic fluctuation theory, through which in some cases the large distance Gaussian fluctuations are proved nonperturbatively.
Cite
@article{arxiv.cond-mat/9908381,
title = {Bosonization, vicinal surfaces, and hydrodynamic fluctuation theory},
author = {Herbert Spohn},
journal= {arXiv preprint arXiv:cond-mat/9908381},
year = {2009}
}