Journal
PHYSICAL REVIEW LETTERS
Volume 101, Issue 11, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.101.116802
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Funding
- MEXT, Japan [16GS0219]
- NSF [DMR-0448820, DMR-0706140]
- NSF MRSEC [DMR-0213745]
- Grants-in-Aid for Scientific Research [16GS0219] Funding Source: KAKEN
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We study multifractal spectra of critical wave functions at the integer quantum Hall plateau transition using the Chalker-Coddington network model. Our numerical results provide important new constraints which any critical theory for the transition will have to satisfy. We find a nonparabolic multifractal spectrum and determine the ratio of boundary to bulk multifractal exponents. Our results rule out an exactly parabolic spectrum that has been the centerpiece in a number of proposals for critical field theories of the transition. In addition, we demonstrate analytically exact parabolicity of the related boundary spectra in the two-dimensional chiral orthogonal Gade-Wegner symmetry class.
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