Berlin 2018 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 28: Poster Session: Topological Topics
TT 28.15: Poster
Monday, March 12, 2018, 15:00–19:00, Poster B
Multifractality of wavefunctions at the spin quantum Hall transition — •Daniel Hernangómez-Pérez1, Soumya Bera2, Ilya Gruzberg3, and Ferdinand Evers1 — 1Institute of Theoretical Physics, University of Regensburg, D-93050 Regensburg, Germany — 2Department of Physics, Indian Institute of Technology Bombay, Mumbai 400076, India — 3Ohio State University, Department of Physics, 191 W. Woodruff Avenue, Columbus Ohio, 43210, USA
At the spin quantum Hall transition (class C) the Hall conductance for spin is quantized while charge is not conserved. Corrections to scaling are found to be small near the transition that connects two neighboring plateau states. Therefore, it lends itself as a natural testbed for analytical predictions. We here present a numerical study of the wavefunction statistics. Our results: (i) In a recent theoretical investigation [1], Bondensan et al. argue in favor of exact parabolicity of multifractal spectra near integer quantum Hall transitions. Thus motivated we investigate the class C spectrum and find that it is far from parabolic. (ii) Analytical arguments [2,3] predict a symmetry of the multifractal spectrum that we can confirm with a very high accuracy.
R. Bondesan, D. Wieczorek, M. R. Zirnbauer, Nucl. Phys. B 918, 52 (2017).
A. D. Mirlin, Y. V. Fyodorov, A. Mildenberger, F. Evers, Phys. Rev. Lett. 97,
046803 (2006).
I. Gruzberg, A. D. Mirlin, M. Zirnbauer, Phys. Rev. B 87, 125114 (2013).