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Real-space renormalization and energy-level statistics at the quantum hall transition
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UNSPECIFIED (2003) Real-space renormalization and energy-level statistics at the quantum hall transition. In: Spring Meeting of the Arbeitskreis-Festkorperphysik of the Deutsche-Physikalische-Gesellschaft, DRESDEN, GERMANY, MAR 24-28, 2003. Published in: ADVANCES IN SOLID STATE PHYSICS 43, 43 pp. 237-252. ISBN 3-540-40150-4. ISSN 1438-4329.
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Abstract
We review recent applications of the real-space renormalization group (RG) approach to the integer quantum Hall (QH) transition. The RG approach, applied to the Chalker-Coddington network model, reproduces the critical distribution of the power transmission coefficients, i.e., two-terminal conductances, P-c(G), with very high accuracy. The RG flow of P(G) at energies away from the transition yields a value of the critical exponent, nu(G) = 2.39 +/- 0.01, that agrees with most accurate large-size lattice simulations. Analyzing the evolution of the distribution of phases of the transmission coefficients upon a step of the RG transformation, we obtain information about the energy-level statistics (ELS). From the fixed point of the RG transformation we extract a critical ELS. Away from the transition the ELS crosses over towards a Poisson distribution. Studying the scaling behavior of the ELS around the QH transition, we extract the critical exponent nu(ELS) = 2.37 +/- 0.02.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science > QC Physics | ||||
Series Name: | ADVANCES IN SOLID STATE PHYSICS | ||||
Journal or Publication Title: | ADVANCES IN SOLID STATE PHYSICS 43 | ||||
Publisher: | SPRINGER-VERLAG BERLIN | ||||
ISBN: | 3-540-40150-4 | ||||
ISSN: | 1438-4329 | ||||
Editor: | Kramer, B | ||||
Official Date: | 2003 | ||||
Dates: |
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Volume: | 43 | ||||
Number of Pages: | 16 | ||||
Page Range: | pp. 237-252 | ||||
Publication Status: | Published | ||||
Title of Event: | Spring Meeting of the Arbeitskreis-Festkorperphysik of the Deutsche-Physikalische-Gesellschaft | ||||
Location of Event: | DRESDEN, GERMANY | ||||
Date(s) of Event: | MAR 24-28, 2003 |
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