Regensburg 2022 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 26: Critical Phenomena and Phase Transitions
DY 26.3: Vortrag
Mittwoch, 7. September 2022, 10:30–10:45, H20
Interplay of disorder and flat band geometry for generalized Lieb models in 3D with correlated order — Jie Liu1, Carlo Danieli2, Jianxin Zhong1, and •Rudolf A. Römer1,3,4 — 1School of Physics and Optoelectronics, Xiangtan University, Xiangtan 411105, China — 2MPI-PaKS, Nöthnitzer Strasse, Dresden, Germany — 3Department of Physics, University of Warwick, Coventry, CV4 7AL, United Kingdom — 4CY Advanced Studies and LPTM (UMR8089 of CNRS), CY Cergy-Paris Université, F-95302 Cergy-Pontoise, France
Uniform Anderson disorder in generalized 3D Lieb models gives rise to the existence of bounded mobility edges and destroys the macroscopic degeneracy of the compactly-localized states. We now introduce correlated order such that this degeneracy remains and the compactly-localized states are preserved. We obtain the energy-disorder phase diagrams via transfer matrix methods, computing the localization lengths and via sparse-matrix direct diagonalization, using r-value energy-level statistics. For suitably large disorders, we can finite-size scale both quantities and identify mobility edges with critical properties close to the standard Anderson transition in 3D. Intriguingly, the survival of the compactly-localized states lead to seemingly diverging mobility edges. For small disorder, however, a change from extended to localized behavior can be found upon decreasing disorder — leading to an unconventional "inverse Anderson" behavior.