https://doi.org/10.1140/epjb/s10051-024-00745-w
Regular Article - Solid State and Materials
Quantum engineering for compactly localized states in disordered Lieb lattices
1
Institute for Complex Systems, National Research Council (ISC-CNR), Via dei Taurini 19, 00185, Rome, Italy
2
School of Physics and Optoelectronics, Xiangtan University, 411105, Xiangtan, China
3
Institute of Mathematics and Physics, Central South University of Forestry and Technology, 410004, Changsha, China
4
Department of Physics, University of Warwick, Gibbet Hill Road, CV4 7AL, Coventry, UK
Received:
20
September
2023
Accepted:
3
July
2024
Published online:
28
August
2024
Blending ordering within an uncorrelated disorder potential in families of 3D Lieb lattices preserves the macroscopic degeneracy of compact localized states and yields unconventional combinations of localized and delocalized phases—as shown in Liu et al. (Phys Rev B 106:214204, 2022). We proceed to reintroduce translation invariance in the system by further ordering the disorder, and discuss the spectral structure and eigenstates features of the resulting perturbed lattices. We restore order in steps by first (i) rendering the disorder binary—i.e., yielding a randomized checkerboard potential, then (ii) reordering the randomized checkerboard into an ordered one, and at last (iii) realigning all the checkerboard values yielding a constant potential shift, but only on a sub-lattice. Along this path, we test the influence of additional random impurities on the order restoration. We find that in each of these steps, about half of the dispersive states are projected upon the unperturbed sites hosting the degenerate compact states, while the remaining ones are localized in the perturbed sites with energy determined by the strength of checkerboard. This strategy, herewith implemented in the 3D Lieb lattice, highlights order restoration as experimental pathway to engineer spectral and states features in disordered lattice structures in the pursuit of quantum storage and memory applications.
© The Author(s) 2024
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