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, MAR 24-28, 2003, DRESDEN, GERMANY.

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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)
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
Date:	2003
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
URI:	http://wrap.warwick.ac.uk/id/eprint/7657

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