Phase Diagram of the Dissipative Hofstadter Model

Details Phase Diagram of the Dissipative Hofstadter Model Phase Diagram of the Dissipative Hofstadter Model

1991-10-16

arxiv.org/abs/hep-th/9110046v1

Nucl.Phys. B374 (1992) 543-566

Physics

High Energy Physics

High Energy Physics - Theory

23 pages

Scientific paper

10.1016/0550-3213(92)90400-6

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).

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