Fixed Points of the Dissipative Hofstadter Model

Details Fixed Points of the Dissipative Hofstadter Model Fixed Points of the Dissipative Hofstadter Model

2005-02-15

arxiv.org/abs/cond-mat/0502363v1

Phys. Rev. Lett. 94, 170401 (2005).

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages 3 figures

Scientific paper

10.1103/PhysRevLett.94.170401

The phase diagram of a dissipative particle in a periodic potential and a magnetic field is studied in the weak barrier limit and in the tight-biding regime. For the case of half flux per plaquette, and for a wide range of values of the dissipation, the physics of the model is determined by a non trivial fixed point. A combination of exact and variational results is used to characterize this fixed point. Finally, it is also argued that there is an intermediate energy scale that separates the weak coupling physics from the tight-binding solution.

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