Multifractality and conformal invariance at 2D metal-insulator transition in the spin-orbit symmetry class

作者：Obuse H^*; Subramaniam A R; Furusaki A; Gruzberg I A; Ludwig A W W

来源：Physical Review Letters, 2007, 98(15): 156802.

DOI：10.1103/PhysRevLett.98.156802

We 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.

• 出版日期2007-4-13
• 单位中国科学院理论物理研究所