A unifying model for several two-dimensional phase transitions

Details A unifying model for several two-dimensional phase transitions A unifying model for several two-dimensional phase transitions

2004-09-30

arxiv.org/abs/cond-mat/0409759v2

Phys. Rev. Lett. 94, 156406 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, including 3 figures

Scientific paper

10.1103/PhysRevLett.94.156406

A relatively simple and physically transparent model based on quantum percolation and dephasing is employed to construct a global phase diagram which encodes and unifies the critical physics of the quantum Hall, "two-dimensional metal-insulator", classical percolation and, to some extent, superconductor-insulator transitions. Using real space renormalization group techniques, crossover functions between critical points are calculated. The critical behavior around each fixed point is analyzed and some experimentally relevant puzzles are addressed.

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