Phase Diagram of the Dissipative Hofstadter Model
arXiv:hep-th/9110046 · doi:10.1016/0550-3213(92)90400-6
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).
23 pages
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