Multifractality and Conformal Invariance at 2D Metal-Insulator Transition in the Spin-Orbit Symmetry Class

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dc.creatorObuse, H.
dc.creatorSubramaniam, A. R.
dc.creatorFurusaki, A.
dc.creatorGruzberg, I. A.
dc.creatorLudwig, A. W. W.
dc.date2006-09-07
dc.date2007-04-13
dc.date.accessioned2026-07-07T07:56:23Z
dc.date.available2026-07-07T07:56:23Z
dc.descriptionWe study the multifractality (MF) of critical wave functions at boundaries and corners at the metal-insulator transition (MIT) for noninteracting electrons in the two-dimensional (2D) spin-orbit (symplectic) universality class. We find that the MF exponents near a boundary are different from those in the bulk. The exponents at a corner are found to be directly related to those at a straight boundary through a relation arising from conformal invariance. This provides direct numerical evidence for conformal invariance at the 2D spin-orbit MIT. The presence of boundaries modifies the MF of the whole sample even in the thermodynamic limit.
dc.description5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0609161
dc.identifierhttp://arxiv.org/abs/cond-mat/0609161
dc.identifierPhys. Rev. Lett. 98, 156802 (2007)
dc.identifierdoi:10.1103/PhysRevLett.98.156802
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127289
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.titleMultifractality and Conformal Invariance at 2D Metal-Insulator Transition in the Spin-Orbit Symmetry Class
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