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This work reports rich localization-delocalization transitions in a quasiperiodic ladder, of which the two legs are subject to the same quasiperiodic onsite potential but can be shifted laterally relative to each other. It is found that the…

Disordered Systems and Neural Networks · Physics 2026-05-26 Bing Shao , Guangjie Zhang , Longwen Zhou , Jiangbin Gong , Weiwei Zhu

We present an exact real-space renormalization group (RSRG) method for evaluating the dynamic structure factor of an infinite one-dimensional quasiperiodic period-doubling (PD) lattice. We observe that for every normal mode frequency of the…

Condensed Matter · Physics 2009-10-31 Anathnath Ghosh , S. N. Karmakar

We study the localization-delocalization transition of Floquet eigenstates in a driven fermionic chain with an incommensurate Aubry-Andr\'{e} potential and a hopping amplitude which is varied periodically in time. Our analysis shows the…

Statistical Mechanics · Physics 2021-05-26 Madhumita Sarkar , Roopayan Ghosh , Arnab Sen , K. Sengupta

In this work, a parameterized eigenvalue problem is analyzed for a phononic array in a 2D stress wave scattering setup, and a corresponding sensing application of this system is proposed to achieve source angle localization. The phononic…

Applied Physics · Physics 2021-11-02 Weidi Wang , Amir Ashkan Mokhtari , Ankit Srivastava , Alireza V. Amirkhizi

Motivated by recent observations of fractional Chern insulators (FCIs) in the vicinity of superconducting (SC) phases, we study fractional quantum (anomalous) Hall-superconductor heterostructures in the presence of $U(1)$ order-parameter…

Strongly Correlated Electrons · Physics 2025-10-31 Steffen Bollmann , Andreas Haller , Jukka I. Väyrynen , Thomas L. Schmidt , Elio J. König

The interplay of topology and disorder in quantum dynamics has recently attracted significant attention across diverse platforms, including solid-state devices, ultracold atoms, and photonic systems. Here, we report on a topological…

In this work, propagation of acoustic waves in a one-dimensional binary chain with different types of correlations in elasticity distribution is studied. We applied entropic analysis to investigate and quantify the…

Statistical Mechanics · Physics 2019-12-02 O. Farzadian , T. Oikonomou , M. R. R. Good , M. D. Niry

In single unit-cell FeSe grown on SrTiO3, the superconductivity transition temperature features a significant enhancement. Local phonon modes at the interface associated with electron-phonon coupling may play an important role in the…

The recently-discovered high-entropy oxides offer a paradoxical combination of crystalline arrangement and high disorder. They differ qualitatively from established paradigms for disordered solids such as glasses and alloys. In these latter…

Disordered Systems and Neural Networks · Physics 2024-06-05 C. M. Wilson , R. Ganesh , D. A. Crandles

Uncorrelated disorder potential in one-dimensional lattice definitely induces Anderson localization, while quasiperiodic potential can lead to both localized and extended phases, depending on the potential strength. We investigate the…

Disordered Systems and Neural Networks · Physics 2021-09-27 R. Wang , K. L. Zhang , Z. Song

The one-dimensional (1D) $t$-$J$ Holstein model is studied by exact diagonalization of finite rings using a variational approximation for the phonon states. Due to renormalization effects induced by the phonons, for intermediate…

Condensed Matter · Physics 2009-10-28 Roland Fehrenbacher

We discuss the quasiclassical approximation for the equations of motions of a nonlinear chain of phonons and electrons having phonon mediated hopping. Describing the phonons and electrons as even and odd grassmannian functions and using the…

Exactly Solvable and Integrable Systems · Physics 2016-09-08 A. S. Carstea , D. Grecu , A. Visinescu

We analyze electron-phonon correlation functions measured in 1D polaron ground states of the Holstein Hamiltonian using the Global-Local variational method. The spatial collapse of electron-phonon correlations is found to occur in concert…

Superconductivity · Physics 2009-10-31 A. H. Romero , David W. Brown , Katja Lindenberg

Effect of the phase fluctuations of the order parameter on the stability of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states are examined in exactly two-dimensional (2D) type-II superconductors with cylindrically symmetric Fermi surface…

Superconductivity · Physics 2015-06-24 Hiroshi Shimahara

Quasicrystals are long-range ordered but not periodic, representing an interesting middle ground between order and disorder. We experimentally and numerically study the ground state of non- and weakly-interacting bosons in an eightfold…

We study localization and many-body localization transition in one dimensional systems in the presence of deterministic quasi-periodic potential. We use single-particle excitations obtained through single-particle Green's function in real…

Disordered Systems and Neural Networks · Physics 2024-03-15 Yogeshwar Prasad , Arti Garg

Local bifurcations of stationary points and limit cycles have successfully been characterized in terms of the critical exponents of these solutions. Lyapunov exponents and their associated covariant Lyapunov vectors have been proposed as…

Chaotic Dynamics · Physics 2018-03-14 Alexis Tantet , Valerio Lucarini , Henk A. Dijkstra

The square-lattice quantum Heisenberg antiferromagnet displays a pronounced anomaly of unknown origin in its magnetic excitation spectrum. The anomaly manifests itself only for short wavelength excitations propagating along the direction…

We experimentally observe many-body localization of interacting fermions in a one-dimensional quasi-random optical lattice. We identify the many-body localization transition through the relaxation dynamics of an initially-prepared charge…

Atomic clusters attached to a low-dimensional system, called Fano defects, produce rich wave interferences. In this work, we analytically found an enhanced thermoelectric figure-of-merit (ZT) in periodic atomic chains with Fano defects,…

Mesoscale and Nanoscale Physics · Physics 2018-06-08 J. Eduardo González , Vicenta Sánchez , Chumin Wang
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