2004/09/30 by Yonatan Dubi, Yigal Meir, Y. Avishai +1
Mathematics · Physics and Astronomy · #Computer science #Condensed matter physics #Critical exponent #Critical phenomena #Critical point (mathematics) #Crossover #Dephasing #Directed percolation #Fixed point #Mathematics #Percolation (cognitive psychology) #Percolation critical exponents #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum critical point #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Renormalization group #Statistical physics #Superconductivity #Theoretical physics #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.94.156406
published as Phys. Rev. Lett. 94, 156406 (2005) · 4 pages, including 3 figures
arxiv created 2004/10/01 · openalex publication_date 2005/04/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.