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Physical Review Letters
22 April 2005

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


 

Unifying Model for Several Classes of Two-Dimensional Phase Transition

Yonatan Dubi,1 Yigal Meir,1,2 and Yshai Avishai1,2
1Physics Department, Ben-Gurion University, Beer Sheva 84105, Israel
2The Ilse Katz Center for Meso- and Nano-scale Science and Technology, Ben-Gurion University, Beer Sheva 84105, Israel

(Received 29 September 2004; published 22 April 2005)

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. 2005 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v94/e156406
doi:10.1103/PhysRevLett.94.156406
PACS: 71.30.+h, 73.43.Nq, 74.20.Mn Additional Information



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