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One dimensional pinning models have been widely studied in the physical and mathematical literature, also in presence of disorder. Roughly speaking, they undergo a transition between a delocalized phase and a localized one. In mathematical…

Mathematical Physics · Physics 2020-12-02 Giambattista Giacomin , Benjamin Havret

We revisit the problem of an elastic line (e.g. a vortex line in a superconductor) subject to both columnar disorder and point disorder in dimension $d=1+1$. Upon applying a transverse field, a delocalization transition is expected, beyond…

Statistical Mechanics · Physics 2022-01-12 Alexandre Krajenbrink , Pierre Le Doussal , Neil O'Connell

Topological effects of a spiral dislocation on an electron are investigated when it is confined to a hard-wall confining potential. Besides, it is analysed the influence of the topology of the spiral dislocation on the interaction of the…

Mesoscale and Nanoscale Physics · Physics 2019-11-26 A. V. D. M. Maia , K. Bakke

A delocalization phenomenon is studied in a class of non-Hermitian random quantum-mechanical problems. Delocalization arises in response to a sufficiently large constant imaginary vector potential. The transition is related to depinning of…

Condensed Matter · Physics 2009-10-30 Naomichi Hatano , David R. Nelson

We study a one-dimensional (1d) XXZ spin-chain in a random field on the metallic side of the many-body localization transition by level statistics. For a fixed interaction, and intermediate disorder below the many-body localization…

Disordered Systems and Neural Networks · Physics 2016-11-28 Corentin L. Bertrand , Antonio M. García-García

How topological defects affect the dynamics of particles hopping between lattice sites of a distorted, two-dimensional crystal is addressed. Perturbation theory and numerical simulations show that weak, short-ranged topological disorder…

Statistical Mechanics · Physics 2007-05-23 Ligang Chen , Michael W. Deem

Protein machines often exhibit long range interplay between different sites in order to achieve their biological tasks. We investigate and characterize the non--linear energy localization and the basic mechanisms of energy transfer in…

Biological Physics · Physics 2015-12-14 M. Caraglio , A. Imparato

Phonon localization is a phenomenon that influences numerous material properties in condensed matter physics. Anderson localization brings rise to localized atomic-scale phonon interferences in disordered lattices with an influence limited…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Albert Beardo , Paul Desmarchelier , Chia-Nien Tsai , Prajit Rawte , Konstantinos Termentzidis , Mahmoud I. Hussein

The notion of topology in physical systems is associated with the existence of a nonlocal ordering that is insensitive to a large class of perturbations. This brings robustness to the behaviour of the system and can serve as a ground for…

Quantum Gases · Physics 2022-06-08 Marco Di Liberto , Andreas Kruckenhauser , Peter Zoller , Mikhail A. Baranov

A two-dimensional electron gas in a high magnetic field displays macroscopically degenerate Landau levels, which can be split into Hofstadter subbands by means of a weak periodic potential. By carefully engineering such a potential, one can…

Disordered Systems and Neural Networks · Physics 2019-08-21 Akshay Krishna , Matteo Ippoliti , R. N. Bhatt

Sub-dimensional localization, also known as directional localization, arises when 2d electrons are subject to a periodic potential and incommensurate magnetic field which cause them to become exponentially localized along one crystal axis,…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Nisarga Paul , Philip J. D. Crowley

Analytical and numerical calculations for a reduced Fermi-Pasta-Ulam chain demonstrate that energy localization does not require more than one conserved quantity. Clear evidence for the existence of a sharp delocalization-localization…

Other Condensed Matter · Physics 2010-09-15 D. Hajnal , R. Schilling

Topological concepts have been employed to understand the ground states of many strongly correlated systems, but it is still quite unclear if and how topology manifests itself in the relaxation dynamics. Here we uncover emergent topological…

Quantum Gases · Physics 2025-03-31 Wang Huang , Xu-Chen Yang , Rui Cao , Ying-Hai Wu , Jianmin Yuan , Yongqiang Li

Strong coupling between light and molecular matter is currently attracting interest both in chemistry and physics, in the fast-growing field of molecular polaritonics. The large near-field enhancement of the electric field of plasmonic…

Mesoscale and Nanoscale Physics · Physics 2024-10-03 Álvaro Buendía , Jose A. Sánchez-Gil , Vincenzo Giannini , William L. Barnes , Marie S. Rider

Previous experiments have shown that spherical colloidal particles relax to equilibrium slowly after they adsorb to a liquid-liquid interface, despite the large interfacial energy gradient driving the adsorption. The slow relaxation has…

Soft Condensed Matter · Physics 2016-11-08 Anna Wang , Ryan McGorty , David M. Kaz , Vinothan N. Manoharan

We investigate localization properties of the Apollonian network (AN) in the presence of diagonal and off-diagonal disorder. By employing a site-resolved localization measure, we show that the localization degree is strongly dependent on…

Disordered Systems and Neural Networks · Physics 2026-04-15 Eduardo M. K. Souza , Francisco A. B. F. de Moura , Guilherme M. A. Almeida

Topological photonics has emerged recently as a novel approach for realizing robust optical circuitry, and the study of nonlinear effects in topological photonics is expected to open the door for tunability of photonic structures with…

Optics · Physics 2019-12-12 Daria Smirnova , Lev Smirnov , Daniel Leykam , Yuri Kivshar

We study a translation invariant spin model in a three-dimensional regular lattice, called the cubic code model, in the presence of arbitrary extensive perturbations. Below a critical perturbation strength, we show that most states with…

Quantum Physics · Physics 2016-01-19 Isaac H. Kim , Jeongwan Haah

Mechanical stresses are increasingly found to be associated with various biological functionalities. At the same time, topological defects are being identified across a diverse range of biological systems and are points of localized…

Soft Condensed Matter · Physics 2023-12-08 Lasse Bonn , Aleksandra Ardaševa , Amin Doostmohammadi

We show that, in a system with defects, two-particle states may experience destructive quantum interference, or antiresonance. It prevents an excitation localized on a defect from decaying even where the decay is allowed by energy…

Quantum Physics · Physics 2009-11-10 L. F. Santos , M. I. Dykman