Physical Review Letters 22 April 2005
Phys. Rev. Lett. 94, 156406 (2005)
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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
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References
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