Anderson Localization of Composite Particles

Suzuki, Fumika; Lemeshko, Mikhail; Zurek, Wojciech H.; Krems, Roman V.

doi:10.1103/physrevlett.127.160602

Cited by 5 publications

(1 citation statement)

References 53 publications

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“…[ 2 ] With the development of the technology, the Anderson localization has been successfully realized in several different systems, such as matter wave, [ 3 ] acoustic wave, [ 4 ] cold atoms, [ 5 ] and photonic lattice. [ 6 ] Recently, the effect of the quantum entanglement [ 7 ] and the non‐Hermitian disorder [ 8 ] on the localization has been explored.…”

Section: Introductionmentioning

confidence: 99%

Probing Dynamical Anderson Transition in a Periodically‐Driven Lattice by Statistical Measures

et al. 2022

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The Floquet system, as a platform to explore new physics in the time domain, has attracted wide interest. This paper considers the dynamical Anderson transition of a single particle in a 1D incommensurate potential, acted by periodic driving. The competition of three elements including the quasi‐disorder, periodic driving, and hopping, produces very rich yet unexplored phenomena in the system. The variance of the Shannon entropy is suggested, inspired by the fact that the Shannon entropy is just the mean information. For the ratio of nearest quasi‐eigenenergy spacings, its probability density distribution is obtained numerically. Based on this distribution, two statistical measures, the entropy of the ratio and the variance of the entropy are suggested to detect the dynamical transition. Moreover, the Anderson transition can also be identified by the pseudo‐spin operators based on the site bases.

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Section: Introductionmentioning

confidence: 99%

Probing Dynamical Anderson Transition in a Periodically‐Driven Lattice by Statistical Measures

et al. 2022

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Topological and compositional disorder induced exciton Anderson localization highly enhances luminescence quantum yields of alloyed perovskite nanocrystals

Ma,

Miao,

et al. 2024

Applied Physics Reviews

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Anderson localization has inspired tremendous effort in exploring underlying physics regarding electron, atom, and photon transport in disordered lattices. However, due to the difficulty in implementing periodic trapping potential for neutral excitons, observing Anderson localization of excitons in disordered semiconductors remains challenging. We report evidence of Anderson localization of Frenkel excitons in the alloyed perovskite nanocrystals that possess high topological and compositional disorder. The broken symmetry-driven constructive interference of scattered exciton wavefunctions around the octahedrons induces strong exciton localization and, consequently, exciton–phonon coupling. This causes significant promotion of the luminescence quantum efficiency from 30% to an impressive 75% owing to enhanced radiative and suppressed nonradiative quantum transition rates. These findings clarify that both Anderson localization and exciton–lattice coupling play key roles in triggering immobility of Frenkel excitons in disordered wide-bandgap semiconductors and guide design of monocomponent warm white light emitters based on highly efficient alloyed perovskite nanocrystals.

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Delocalization and re-entrant localization of flat-band states in non-Hermitian disordered lattice models with flat bands

Kim

2022

Progress of Theoretical and Experimental Physics

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We present a numerical study of Anderson localization in disordered non-Hermitian lattice models with flat bands. Specifically we consider one-dimensional stub and two-dimensional kagome lattices that have a random scalar potential and a uniform imaginary vector potential and calculate the spectra of the complex energy, the participation ratio, and the winding number as a function of the strength of the imaginary vector potential, h. The flat-band states are found to show a double transition from localized to delocalized and back to localized states with h, in contrast to the dispersive-band states going through a single delocalization transition. When h is sufficiently small, all flat-band states are localized. As h increases above a certain critical value h1, some pair of flat-band states become delocalized. The participation ratio associated with them increases substantially and their winding numbers become nonzero. As h increases further, more and more flat-band states get delocalized until the fraction of the delocalized states reaches a maximum. For larger h values, a re-entrant localization takes place and, at another critical value h2, all flat-band states return to compact localized states with very small participation ratios and zero winding numbers. This re-entrant localization transition, which is due to the interplay among disorder, non-Hermiticity, and flat band, is a phenomenon occurring in many models having an imaginary vector potential and a flat band simultaneously. We explore the spatial characteristics of the flat-band states by calculating the local density distribution.

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Anderson Localization of Composite Particles

Cited by 5 publications

References 53 publications

Probing Dynamical Anderson Transition in a Periodically‐Driven Lattice by Statistical Measures

Probing Dynamical Anderson Transition in a Periodically‐Driven Lattice by Statistical Measures

Topological and compositional disorder induced exciton Anderson localization highly enhances luminescence quantum yields of alloyed perovskite nanocrystals

Delocalization and re-entrant localization of flat-band states in non-Hermitian disordered lattice models with flat bands

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