Regensburg 2002 – wissenschaftliches Programm
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HL: Halbleiterphysik
HL 11: Poster 1
HL 11.37: Poster
Montag, 11. März 2002, 17:00–19:30, Poster A
Energy level spacing distribution at the quantum Hall transition — •Philipp Cain1, Mikhail E. Raikh2, Rudolf A. Römer1, and Michael Schreiber1,3 — 1Institut für Physik, Technische Universität, D-09107 Chemnitz — 2Department of Physics, University of Utah, Salt Lake City, UT 84112, U.S.A. — 3International University Bremen, D-28725 Bremen
We apply the renormalization group (RG) approach to study the energy level statistics at the integer quantum Hall transition. Within the RG approach the macroscopic array of saddle points of the Chalker-Coddington network is replaced by a fragment consisting of only five saddle points. Previously we have demonstrated that the RG approach reproduces the distribution of the power transmission coefficients at the transition, P(T), with very high accuracy. To assess the level statistics we analyze the phases of the transmission coefficients. We find that, at the transition, the level spacing distribution (LSD) is close to that for the unitary ensemble with well-pronounced level repulsion. We emphasize that a metal-like LSD emerges when the fixed point distribution P(T) is used. We check that away from the transition the LSD crosses over towards the Poisson distribution.