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arXiv · hep-th/9110046

Phase Diagram of the Dissipative Hofstadter Model

Curtis G. Callan, Jr.·Denise Freed
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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).

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Curtis G. Callan, Jr., Denise Freed. 1991-10-16. Phase Diagram of the Dissipative Hofstadter Model. https://doi.org/10.1016/0550-3213(92)90400-6

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