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Boundary multifractality and conformal invariance at 2D metal-insulator transition

Furusaki, A (RIKEN)
Monday 03 November 2008, 11:10-12:00


Critical wave functions near sample boundaries exhibit multifractal scaling behavior which is different from multifractality of wave functions in the bulk of the sample. In this talk I will give an overview of our recent studies on the consequence of conformal invariance in the boundary multifractality: (a) angle dependence of corner multifractal exponents and (b) relation between \alpha_0 and normalized localization length in quasi-1D geometry. These results are illustrated for the symplectic class and the integer quantum Hall plateau transition.

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