Date: Feb 22 (Mon)
Time: 13:30 -
Place: Main Research bldg. 433
Speaker: Hideaki Obuse (Hokkaido University)
Title: Conformal invariance at the Anderson transition
Abstract: It has been passed more than fifty years since P.W. Anderson had theoretically predicted localization phenomena of electrons in disordered systems. Despite of variant theoretical progresses, such as the weak localization theory, the scaling theory, and etc, a general theory describing critical properties at the localization-delocalization transition, so called, Anderson transition, has not yet been identified.
It is well known that a conformal filed theory (CFT), which is constructed under noble properties of conformal invariance, is a powerful theoretical tool to analytically derive critical exponents of a phase transition in two-dimensions. Taking account of the advantage of this theory, as a first step to build up the CFT for the Anderson transition, we have shown the existence of conformal invariance at the Anderson transition by focusing on boundary multifractality[1]. Then, we have been developing the theory which predicts exact values of the boundary critical exponent[2] and scaling correction terms[3] of the Anderson transitions. In this talk, I review these recent developments.
[1] H. Obuse, A.R. Subramaniam, A. Furusaki, I.A. Gruzberg, and A.W.W Ludwig, PRL 98, 156802 (2007); PRB 82, 035309 (2010).
[2] R. Bondesan, I.A. Gruzberg, J. Jacobsen, H. Obuse, H. Saleur, PRL 108, 126801 (2012).
[3] H. Obuse, I.A. Gruzberg, F. Evers, PRL 109, 206804 (2012); H. Obuse, S. Bera, A.W.W. Ludwig, I.A.Gruzberg, F. Evers, EPL 104, 27014 (2013).
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