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We study the many-body localization aspects of single-particle mobility edges in fermionic systems. We investigate incommensurate lattices and random disorder Anderson models. Many-body localization and quantum nonergodic properties are…

统计力学 · 物理学 2016-06-07 Xiaopeng Li , J. H. Pixley , Dong-Ling Deng , Sriram Ganeshan , S. Das Sarma

We study the effect of Anderson localization on a Bose-Einstein condesate in 3d in a disordered potential by Feynman-Kac path integral technique. Simulations are performed in continuous space using canonical ensemble. Owing to the high…

量子气体 · 物理学 2014-03-20 S. Datta

We study localization properties of a one-dimensional disordered system characterized by a random non-hermitean hamiltonian where both the randomness and the non-hermiticity arises in the local site-potential; its real part being ordered…

无序系统与神经网络 · 物理学 2007-05-23 Asok K. Sen

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…

无序系统与神经网络 · 物理学 2015-05-13 J. Heinrichs

Lessons from Anderson localization highlight the importance of dimensionality of real space for localization due to disorder. More recently, studies of many-body localization have focussed on the phenomenon in one dimension using techniques…

无序系统与神经网络 · 物理学 2020-02-11 Thorsten B. Wahl , Arijeet Pal , Steven H. Simon

The level dynamics across the many body localization transition is examined for XXZ-spin model with a random magnetic field. We compare different scenaria of parameter dependent motion in the system and consider measures such as level…

无序系统与神经网络 · 物理学 2019-06-19 Artur Maksymov , Piotr Sierant , Jakub Zakrzewski

The localization of one-electron states in the large (but finite) disorder limit is investigated. The inverse participation number shows a non--monotonic behavior as a function of energy owing to anomalous behavior of few-site localization.…

无序系统与神经网络 · 物理学 2012-10-02 L. Ujfalusi , I. Varga

Information theory, rooted in computer science, and many-body physics, have traditionally been studied as (almost) independent fields. Only recently has this paradigm started to shift, with many-body physics being studied and characterized…

无序系统与神经网络 · 物理学 2024-02-20 Noa Feldman , Niv Davidson , Moshe Goldstein

Translationally invariant flatband Hamiltonians with interactions lead to a many-body localization transition. Our models are obtained from single particle lattices hosting a mix of flat and dispersive bands, and equipped with fine-tuned…

统计力学 · 物理学 2022-02-09 Carlo Danieli , Alexei Andreanov , Sergej Flach

The out-of-time-ordered (OTO) correlation is a key quantity for quantifying quantum chaoticity and has been recently used in the investigation of quantum holography. Here we use it to study and characterize many-body localization (MBL). We…

无序系统与神经网络 · 物理学 2017-02-15 Rong-Qiang He , Zhong-Yi Lu

We present numerical results within the one-dimensional disordered Hubbard model for several characteristic indicators of the many-body localization (MBL). Considering traditionally studied charge disorder (i.e., the same disorder strength…

强关联电子 · 物理学 2017-01-26 P. Prelovšek , O. S. Barišić , M. Žnidarič

The entanglement in one-dimensional Anderson model is studied. We show that the pairwise entanglement measured by the average concurrence has a direct relation to the localization length. The numerical study indicates that the disorder…

量子物理 · 物理学 2009-11-10 Haibin Li , Xiaoguang Wang

We study theoretically Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a random one-dimensional scalar potential. We focus explicitly on the effect of disorder correlations, considering a short-range…

无序系统与神经网络 · 物理学 2019-09-11 Seulong Kim , Kihong Kim

We study the ergodic side of the many-body localization transition in its standard model, the disordered Heisenberg quantum spin chain. We show that the Thouless energy, extracted from long-range spectral statistics and the power-spectrum…

统计力学 · 物理学 2020-07-02 Ángel L. Corps , Rafael A. Molina , Armando Relaño

A basis of Bloch waves, distorted locally by the random potential, is introduced for electrons in the Anderson model. Matrix elements of the Hamiltonian between these distorted waves are averages over infinite numbers of independent…

强关联电子 · 物理学 2009-11-07 Wolfram T. Arnold , Roger Haydock

We consider the random transverse-field Ising model in $d=3$ dimensions with long-range ferromagnetic interactions which decay as a power $\alpha > d$ with the distance. Using a variant of the strong disorder renormalization group method we…

统计力学 · 物理学 2016-06-08 István A. Kovács , Róbert Juhász , Ferenc Iglói

We study the high-energy phase diagram of a two-dimensional spin-$\frac{1}{2}$ Heisenberg model on a square lattice in the presence of either quenched or quasiperiodic disorder. The use of large-scale tensor network numerics allows us to…

无序系统与神经网络 · 物理学 2022-11-24 Kevin S. C. Decker , Dante M. Kennes , Christoph Karrasch

Many-body localization in a disordered system of interacting spins coupled by the long-range interaction $1/R^{\alpha}$ is investigated combining analytical theory considering resonant interactions and a finite size scaling of exact…

无序系统与神经网络 · 物理学 2015-03-03 Alexander L. Burin

This study investigates the entanglement properties of disordered free fermion systems undergoing an Anderson phase transition from a delocalized to a localized phase. The entanglement entropy is employed to quantify the degree of…

强关联电子 · 物理学 2023-09-26 Mohammad Pouranvari

We numerically study quantum avalanches in one-dimensional disordered spin systems by attaching two XXZ spin chains. One chain has low disorder representing a rare Griffith's region, or thermal inclusion, and the second has larger disorder,…

无序系统与神经网络 · 物理学 2024-12-18 J. Clayton Peacock , Dries Sels
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