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

2006/09/30 by H. Obuse, Hideaki Obuse, A. R. Subramaniam +7 · 5 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.98.156802

published as Phys. Rev. Lett. 98, 156802 (2007) · 5 pages, 4 figures

openalex publication_date 2007/04/12 · arxiv created 2007/04/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Infinite conformal symmetry in two-dimensional quantum field theory
• Exact Relations between Multifractal Exponents at the Anderson Transition
• Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System
• Magnetic properties of Sr₂Fe₁+xMo₁-xO₆ with -1 <= x <= 0.25

Cited by

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• Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. II. Symmetry relation under ensemble averaging
• Criticality without self-similarity: a 2D system with random long-range hopping