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Quasiperiodic behaviour is known to occur in systems with enforced quasiperiodicity or randomness, in either the lattice structure or the potential, as well as in periodically driven systems. Here, we present instead a setting where…

Mesoscale and Nanoscale Physics · Physics 2023-02-10 Cecilie Glittum , Antonio Štrkalj , Claudio Castelnovo

The electronic properties of quarter-filled organic materials showing spin-Peierls transition are investigated theoretically. By studying the one-dimensional extended Peierls-Hubbard model analytically as well as numerically, we find that…

Strongly Correlated Electrons · Physics 2007-05-23 Makoto Kuwabara , Hitoshi Seo , Masao Ogata

The paper investigates localized deformation patterns resulting from the onset of instabilities in lattice structures. The study is motivated by previous observations on discrete hexagonal lattices, where the onset of non-uniform,…

Soft Condensed Matter · Physics 2018-08-15 Raj Kumar Pal , Federico Bonetto , Luca Dieci , Massimo Ruzzene

Disorder in moire superlattices simultaneously degrades flat-band localization and induces Anderson localization, yet how these two regimes interact has remained unclear. Here, we introduce a combined framework linking localization-length…

Disordered Systems and Neural Networks · Physics 2026-04-23 Qian Liu , Xiaoshuang Xia , Junjie Wang , Peilong Hong , Lei Xu , Lujun Huang , Daohong Song , Yi Liang

The complex behavior of confined fluids arising due to a competition between layering and local packing can be disentangled by considering quasi-confined liquids, where periodic boundary conditions along the confining direction restore…

Soft Condensed Matter · Physics 2020-09-03 Lukas Schrack , Charlotte F. Petersen , Gerhard Jung , Michele Caraglio , Thomas Franosch

Inspired by the recently discovered phenomenon of re-entrant localization (REL) [Roy et al., PRL 126, 106803 (2021)], we propose a new approach to induce REL, i.e., to control the quasiperiodic potential's phase-shift between odd and even…

Disordered Systems and Neural Networks · Physics 2023-12-27 Shan-Zhong Li , Zhi Li

Dynamic facilitation theory assumes short-ranged dynamic constraints to be the essential feature of supercooled liquids and draws much of its conclusions from the study of kinetically constrained models. While deceptively simple, these…

Materials Science · Physics 2012-06-12 Thomas Speck , David Chandler

Harnessing the quantum coherence and tunability of molecular-scale structures, we theoretically explore thermoelectric transport in ring-shaped molecular junctions featuring dimerized hopping integrals. By engineering alternating strong and…

Other Condensed Matter · Physics 2025-12-17 Ranjini Bhattacharya , Souvik Roy

The random-dimer model is probably the most popular model for a one-dimensional disordered system where correlations are responsible for delocalization of the wave functions. This is the primary model used to justify the insulator-metal…

Quantum Gases · Physics 2010-04-27 Jean-François Schaff , Zehra Akdeniz , Patrizia Vignolo

Heterogeneous media constitute random disordered environments where transport is drastically hindered. Employing extensive molecular dynamics simulations, we investigate the spatio-temporal dynamics of tracer particles in the Lorentz model…

Statistical Mechanics · Physics 2013-02-14 Markus Spanner , Simon K. Schnyder , Felix Höfling , Thomas Voigtmann , Thomas Franosch

We study quantum quenches in two-dimensional lattice gauge theories with fermions coupled to dynamical $\mathbb{Z}_2$ gauge fields. Through the identification of an extensive set of conserved quantities, we propose a generic mechanism of…

Strongly Correlated Electrons · Physics 2018-06-26 Adam Smith , Johannes Knolle , Roderich Moessner , Dmitry L. Kovrizhin

Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft" billiard, classically modeled from an optical…

Statistical Mechanics · Physics 2022-05-16 Matheus J. Lazarotto , Iberê L. Caldas , Yves Elskens

We study spatial pattern formation and energy localization in the dynamics of an anharmonic chain with quadratic and quartic intersite potential subject to an optical, sinusoidally oscillating field and a weak damping. The zone-boundary…

Pattern Formation and Solitons · Physics 2009-11-07 Ramaz Khomeriki , Stefano Lepri , Stefano Ruffo

We theoretically explore a dynamical generalization of the Aubry-Andr\'e model in two dimensions formed by superimposing two square-lattice potentials. Motivated by the rich physics emerging at different twist angles between the two…

Quantum Gases · Physics 2025-09-24 James Walkling , Antonio Štrkalj , F. Nur Ünal

We study numerically synchronization phenomena of mobile discrete breathers in dissipative nonlinear lattices periodically forced. When varying the driving intensity, the breather velocity generically locks at rational multiples of the…

Pattern Formation and Solitons · Physics 2007-05-23 D. Zueco , P. J. Martinez , L. M. Floria , F. Falo

We study the phase transition in a system composed of dimers interacting with each other via a nearest-neighbor (NN) exchange $J$ and competing interactions taken from a truncated dipolar coupling. Each dimer occupies a link between two…

Statistical Mechanics · Physics 2013-09-06 Danh-Tai Hoang , Hung T. Diep

We investigate the zero-temperature metal-insulator transition in a one-dimensional two-component Fermi gas in the presence of a quasi-periodic potential resulting from the superposition of two optical lattices of equal intensity but…

Quantum Gases · Physics 2017-01-25 Sebastiano Pilati , Vipin Kerala Varma

When the Poincar\'{e} map associated with a periodic orbit of a hybrid dynamical system has constant-rank iterates, we demonstrate the existence of a constant-dimensional invariant subsystem near the orbit which attracts all nearby…

Dynamical Systems · Mathematics 2016-11-15 Samuel Burden , Shai Revzen , S. Shankar Sastry

Lattice quasi-periodicity is easily realized with ultracold atoms in optical lattices and has been used to study delocalization-localization transition at low dimensions. Models with true disorder, however, remains largely unrealized in…

The localisation of electrons in a lattice potential is an quantum-mechanical phenomenon and is often associated with remarkable physical properties of solids involving electron spins, electric polarisations and topological effects. In…