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We systematically study the effect of disorder and interactions on a quasi-one dimensional diamond chain possessing flat bands. Disorder localizes all the single particle eigenstates, while at low disorder strengths we obtain weak flat-band…

Disordered Systems and Neural Networks · Physics 2020-12-24 Nilanjan Roy , Ajith Ramachandran , Auditya Sharma

We study the influence of mean field cubic nonlinearity on Aharonov-Bohm caging in a diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities the Aharonov-Bohm caging persists as periodic nonlinear breathing…

Pattern Formation and Solitons · Physics 2019-01-23 Goran Gligorić , Petra P. Beličev , Daniel Leykam , Aleksandra Maluckov

Absence of localization is demonstrated analytically to leading order in weak disorder in a one-dimensional Anderson model of a ring threaded by an Aharonov-Bohm (A-B) flux. The result follows from adapting an earlier perturbation treatment…

Disordered Systems and Neural Networks · Physics 2015-05-13 J. Heinrichs

We study the effects of quasiperiodic Aubry-Andr\'e (AA) disorder and interactions on a one-dimensional all-band-flat (ABF) diamond chain. We consider the application of disorder in two ways: a symmetric one, where the same disorder is…

Disordered Systems and Neural Networks · Physics 2023-06-09 Aamna Ahmed , Nilanjan Roy , Auditya Sharma

We study the effect of quasiperiodic Aubry-Andr\'e disorder on the energy spectrum and eigenstates of a one-dimensional all-bands-flat (ABF) diamond chain. The ABF diamond chain possesses three dispersionless flat bands with all the…

Disordered Systems and Neural Networks · Physics 2024-01-24 Aamna Ahmed , Ajith Ramachandran , Ivan M. Khaymovich , Auditya Sharma

The interplay of $\pi$-flux and lattice geometry can yield full localization of quantum dynamics in lattice systems, a striking interference phenomenon known as Aharonov-Bohm caging. At the level of the single-particle energy spectrum, this…

Quantum Gases · Physics 2019-10-30 Marco Di Liberto , Sebabrata Mukherjee , Nathan Goldman

The physics in flat bands has emerged as an essential field in condensed matter physics where a plethora of phenomena can be unveiled, such as anomalous transport properties, superconductivity dominated by quantum geometry or exotic…

Other Condensed Matter · Physics 2026-03-02 Biplab Pal , Maxime Thumin , Georges Bouzerar

It is well known that Anderson transition is a disorder-induced metal-insulator transition.Contrary to this conventional wisdom, some investigations have shown that disorders could destroy the phase coherence of localized modes in…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Haiteng Wang , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

Aharonov-Bohm (AB) caging, a special flat-band localization mechanism, has spurred great interest in different areas of physics. AB caging can be harnessed to explore the rich and exotic physics of quantum transport in flatband systems,…

Quantum Gases · Physics 2022-11-24 Hang Li , Zhaoli Dong , Stefano Longhi , Qian Liang , Dizhou Xie , Bo Yan

Advances in quantum engineering have enabled the design, measurement, and precise control of synthetic condensed matter systems. The platform of superconducting circuits offers two particular capabilities: flexible connectivity of circuit…

Quantum Physics · Physics 2023-12-19 Jeronimo G. C. Martinez , Christie S. Chiu , Basil M. Smitham , Andrew A. Houck

The induction of synthetic magnetic fields on lattice structures allows to effectively control their localization and transport properties. In this work, we generate effective $\pi$ magnetic fluxes on a multi-orbital diamond lattice, where…

Other Condensed Matter · Physics 2022-07-13 Gabriel Cáceres-Aravena , Diego Guzmán-Silva , Ignacio Salinas , Rodrigo A. Vicencio

To understand the role of electron correlation and disorder on persistent currents in isolated 1D rings threaded by magnetic flux $\phi$, we study the behavior of persistent currents in aperiodic and ordered binary alloy rings. These…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Santanu K. Maiti , J. Chowdhury , S. N. Karmakar

Aharonov-Bohm caging is a localization mechanism stemming from the competition between the geometry and the magnetic field. Originally described for a tight-binding model in the dice lattice, this destructive interference phenomenon…

Mesoscale and Nanoscale Physics · Physics 2022-10-13 R. Mosseri , R. Vogeler , J. Vidal

We study the effect of weak disorder on tunneling conductance of a single-channel quantum ring threaded by magnetic flux. We assume that temperature is higher than the level spacing in the ring and smaller than the Fermi energy. In the…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 P. M. Shmakov , A. P. Dmitriev , V. Yu. Kachorovskii

Emerging experimental platforms use amorphousness, a constrained form of disorder, to tailor meta-material properties. We study localization under this type of disorder in a family of 2D models generalizing recent experiments on photonic…

Disordered Systems and Neural Networks · Physics 2025-08-19 Elizabeth J. Dresselhaus , Alexander Avdoshkin , Zhetao Jia , Matteo Secli , Boubacar Kante , Joel E. Moore

We study the creation and distribution of entanglement in disordered $XY$-type spin-$1/2$ chains for the paradigmatic case of a single flipped spin prepared on a fully polarized background. The local magnetic field is set to follow a…

A new diagrammatic method, which is a reformulation of Berezinskii's technique, is constructed to study the density of electronic states $\rho(\epsilon,\phi)$ of a one-channel weakly disordered ring, threaded by an external magnetic flux.…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 E. P. Nakhmedov , H. Feldmann , R. Oppermann

We consider the spatiotemporal evolution of a wave packet in disordered nonlinear Schr\"odinger and anharmonic oscillator chains. In the absence of nonlinearity all eigenstates are spatially localized with an upper bound on the localization…

Disordered Systems and Neural Networks · Physics 2015-05-13 Ch. Skokos , D. O. Krimer , S. Komineas , S. Flach

Disorder-induced effects on plasmon coupling in chains of metallic nanoparticles are studied within a dipole model, by considering two types of disorder: fluctuations of the particles' shapes and fluctuations of their positions. Typical…

Optics · Physics 2015-05-27 Felix Rüting

We analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main probes of the system's behavior we use the sensitivity of eigenstates to adiabatic transformations, as expressed through the fidelity susceptibility, in…

Quantum Physics · Physics 2021-11-09 Dries Sels , Anatoli Polkovnikov
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