2008/04/15 by Ferdinand Evers, F. Evers, A. Mildenberger +1
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.101.116803
published as Phys. Rev. Lett. 101, 116803 (2008) · 4 pages, 4 figures
arxiv created 2008/04/15 · openalex publication_date 2008/09/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an ultrahigh-precision numerical study of the spectrum of multifractal exponents \ensuremathΔq characterizing anomalous scaling of wave function moments ⟨|\ensuremathψ|2q⟩ at the quantum Hall transition. The result reads \ensuremathΔq=2q(1\ensuremath-q)[b0+b1(q\ensuremath-1/2)2+\ensuremath⋯], with b0=0.1291\ifmmode±\else\textpm\fi0.0002 and b1=0.0029\ifmmode±\else\textpm\fi0.0003. The central finding is that the spectrum is not exactly parabolic: b1\ensuremath≠0. This rules out a class of theories of the Wess-Zumino-Witten type proposed recently as possible conformal field theories of the quantum Hall critical point.