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The Ma-Dasgupta real-space renormalization methods allow to study disordered systems which are governed by strong disorder fixed points. After a general introduction to the qualitative ideas and to the quantitative renormalization rules, we…

无序系统与神经网络 · 物理学 2007-05-23 Cecile Monthus

We study localisation effects of strong disorder on the spectral and dynamical properties of (matrix and scalar) Schroedinger operators with non-monotone random potentials, on the d-dimensional lattice. Our results include dynamical…

数学物理 · 物理学 2016-11-18 Alexander Elgart , Mira Shamis , Sasha Sodin

Integrable models support elementary excitations with infinite lifetimes. In the spin-1/2 Heisenberg chain these are known as spinons. We consider the stability of spinons when a weak integrability breaking perturbation is added to the…

强关联电子 · 物理学 2017-08-09 Stefan Groha , Fabian H. L. Essler

Anderson localisation is an important phenomenon arising in many areas of physics, and here we explore it in the context of quantum information devices. Finite dimensional spin chains have been demonstrated to be important devices for…

量子物理 · 物理学 2016-09-19 R. Ronke , M. P. Estarellas , I. D'Amico , T. P. Spiller , T. Miyadera

We discovered novel Anderson localization behaviors of pseudospin systems in a 1D disordered potential. For a pseudospin-1 system, due to the absence of backscattering under normal incidence and the presence of a conical band structure, the…

无序系统与神经网络 · 物理学 2017-04-20 Anan Fang , Zhao-Qing Zhang , Steven G. Louie , C. T. Chan

We formulate a dynamical real space renormalization group approach to describe the time evolution of a random spin-1/2 chain, or interacting fermions, initialized in a state with fixed particle positions. Within this approach we identify a…

无序系统与神经网络 · 物理学 2014-11-04 Ronen Vosk , Ehud Altman

We study the effects of quenched disorder in a class of quantum chains with (p+1)-multispin interactions exhibiting a free fermionic spectrum, paying special attention to the case p=2. Depending if disorder couples to (i) all the couplings…

无序系统与神经网络 · 物理学 2023-12-22 Francisco C. Alcaraz , José A. Hoyos , Rodrigo A. Pimenta

Assemblies of interacting quantum particles often surprise us with properties that are difficult to predict. One of the simplest quantum many-body systems is the spin 1/2 Heisenberg antiferromagnetic chain, a linear array of interacting…

强关联电子 · 物理学 2013-07-02 M. Mourigal , M. Enderle , A. Klöpperpieper , J. -S. Caux , A. Stunault , H. M. Rønnow

Confinement of fractionalized excitations can strongly restructure many-body spectra. We investigate this phenomenon in the gapped spin-$\frac{1}{2}$ XXZ chain subject to a staggered field, where spinons bind into domain-wall ``mesons''…

强关联电子 · 物理学 2025-11-20 Julia Wildeboer , Marton Lajer , Robert M. Konik

Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components. Using a self-consistent…

无序系统与神经网络 · 物理学 2019-10-09 Sthitadhi Roy , David E. Logan

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…

数学物理 · 物理学 2020-12-02 Giambattista Giacomin , Benjamin Havret

We study the scaling properties of the entanglement entropy (EE) near quantum critical points in interacting random antiferromagnetic (AF) spin chains. Using density-matrix renormalization group, we compute the half-chain EE near the…

无序系统与神经网络 · 物理学 2024-03-05 Prashant Kumar , R. N. Bhatt

We study in this work the ground state entanglement properties of finite XX spin-1/2 chains with random couplings, using Jordan-Wigner transformation. We divide the system into two parts and study reduced density matrices (RDMs) of its…

强关联电子 · 物理学 2013-08-27 Mohammad Pouranvari , Kun Yang

We show that spin S Heisenberg spin chains with an additional three-body interaction of the form (S_{i-1}S_{i})(S_{i}S_{i+1})+h.c. possess fully dimerized ground states if the ratio of the three-body interaction to the bilinear one is equal…

强关联电子 · 物理学 2012-03-30 Frédéric Michaud , François Vernay , Salvatore R. Manmana , Frédéric Mila

Deconfined quantum critical points are intriguing transition points not predicted by the Landau-Ginzburg-Wilson symmetry-breaking paradigm which are usually identified by the appearance of a continuous phase transition between locally…

Using large-scale determinant quantum Monte Carlo simulations in combination with the stochastic analytical continuation, we study two-particle dynamical correlation functions in the anisotropic square lattice of weakly coupled…

强关联电子 · 物理学 2013-08-22 Marcin Raczkowski , Fakher F. Assaad

The interplay between local, repulsive interactions and disorder acting only on one spin orientation of lattice fermions ("spin-dependent disorder") is investigated. The nonmagnetic disorder vs. interaction phase diagram is computed using…

无序系统与神经网络 · 物理学 2015-09-25 J. Skolimowski , D. Vollhardt , K. Byczuk

We investigate the decoherence of a spin 1/2 subsystem weakly coupled to an environment of many spins 1/2 with and without mutual coupling. The total system is closed, its state is pure and evolves under Schroedinger dynamics. Nevertheless,…

量子物理 · 物理学 2009-11-11 Harry Schmidt , Guenter Mahler

We consider a weakly interacting quantum spin chain with random local interactions. We prove that many-body localization follows from a physically reasonable assumption that limits the extent of level attraction in the statistics of…

数学物理 · 物理学 2016-07-07 John Z Imbrie

I consider the effects of enforced dimerization on random Heisenberg antiferromagnetic S=1 chains. I argue for the existence of novel Griffiths phases characterized by {\em two independent dynamical exponents} that vary continuously in…

强关联电子 · 物理学 2009-11-07 Kedar Damle