Unifying model for several classes of two-dimensional phase transition Academic Article uri icon

abstract

  • 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.

publication date

  • January 1, 2005