SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster: Quantum Dynamics and Many-Body Systems

DY 43.10: Poster

Donnerstag, 30. März 2023, 13:00–16:00, P1

Flat band physics for dispersive bands — •Jie Liu¹, Carlo Danieli², and Rudolf A. Römer³ — ¹School of Physics and Optoelectronics, Xiangtan University, Xiangtan 411105, China — ²Department of Physics, University of Sapienza, Piazzale Aldo Moro 5, 00185 Rome, Italy — ³Department of Physics, University of Warwick, Coventry, CV4 7AL, United Kingdom

Lieb models provide a convenient test bed for the characterization of compactly localized states (CLS) in "flat" energy bands. The CLS have been discussed as potential candidates for information storage applications. However, they are typically sensitive to perturbations. Uncorrelated onsite disorder in most cases lifts the existence of CLS irrespective of the disorder strength and induces wave localization in flat band lattices. In certain cases, however, local symmetries within flat band lattices suggest local correlations in the onsite disorder which result in anomalous localization features. Here we make use of these ideas to proposed an engineered ``disorder'' that allows to keep the compactness of the CLS while it at the same time changes half of the dispersive states to become more CLS-like. The work has potential applications for the many situations where flat-band physics has been shown to be relevant, effectively stabilizing the CLS.