Phase Diagram of the Dissipative Hofstadter Model
High Energy Physics - Theory
2019-08-14 v1
Abstract
The dissipative quantum mechanics of a charged particle in a uniform magnetic field and periodic potential has delocalization critical points which correspond to backgrounds for the open string. We study the phase diagram of this system (in the magnetic field/dissipation constant plane) and find a fractal structure which, in the limit of zero dissipation, matches the fractal energy level structure of the pure quantum mechanical version of this problem (Hofstadter model).
Keywords
Cite
@article{arxiv.hep-th/9110046,
title = {Phase Diagram of the Dissipative Hofstadter Model},
author = {Curtis G. Callan, and Denise Freed},
journal= {arXiv preprint arXiv:hep-th/9110046},
year = {2019}
}
Comments
23 pages