Regensburg 2016 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 44: Critical Phenomena and Phase Transitions
DY 44.2: Vortrag
Mittwoch, 9. März 2016, 15:45–16:00, H47
Multifractal finite-size scaling at the Anderson transition in the unitary symmetry class — •Jakob Lindinger, Andreas Buchleitner, and Alberto Rodriguez — Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg
We carry out a full characterization of the Anderson transition in the unitary symmetry class. We apply multifractal finite-size scaling [A. Rodriguez, L. J. Vasquez, K. Slevin, R. A. Römer, Phys. Rev. B 84, 134209 (2011)] to the 3-D Anderson model subjected to a homogeneous magnetic field, and estimate the critical parameters as well as the multifractal exponents with high precision using wavefunction data of systems up to L3 = 1203, obtaining the critical exponent ν=1.460(1.452, 1.468). We examine the scaling of the probability density function of wavefunction intensities and explore the possibility of finding a fingerprint of the transition in the correlation function of the phase of the complex wavefunctions.