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We provide a review of recently-develop dynamical mean-field theory (DMFT) approaches to the general problem of strongly correlated electronic systems with disorder. We first describe the standard DMFT approach, which is exact in the limit…

Strongly Correlated Electrons · Physics 2023-02-16 E. Miranda , V. Dobrosavljevic

The magnetic phases induced by the interplay between disorder acting only on particles with a given spin projection ("spin-dependent disorder") and a local repulsive interaction is explored. To this end the magnetic ground state phase…

Strongly Correlated Electrons · Physics 2024-04-26 J. Skolimowski , D. Vollhardt , K. Byczuk

The dynamical behavior of an acoustic polaron in typical non-degenerate conjugated polymer, polydiacetylene, is numerically studied by using Su-Schrieffer-Heeger's model for the one dimensional electron-lattice system. It is confirmed that…

Condensed Matter · Physics 2009-10-28 Y. Arikabe , M. Kuwabara , Y. Ono

We develop a self-consistent theoretical approach to the dynamics of Anderson localization in open three-dimensional (3D) disordered media. The approach allows us to study time-dependent transmission and reflection, and the distribution of…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. E. Skipetrov , B. A. van Tiggelen

Anderson localization of electron states on graphene lattice with diagonal and off-diagonal (OD) disorder in the absence of magnetic field is investigated by using the standard finite-size scaling analysis. In the presence of diagonal…

Disordered Systems and Neural Networks · Physics 2008-01-03 Shi-Jie Xiong , Ye Xiong

Strongly correlated fermions in three- and two-dimensional optical lattices with experimentally realistic speckle disorder are investigated. We extend and apply the statistical dynamical mean-field theory, which treats local correlations…

Quantum Gases · Physics 2010-12-15 D. Semmler , J. Wernsdorfer , U. Bissbort , K. Byczuk , W. Hofstetter

In order to study an interplay of disorder, correlation, and spin imbalance on antiferromagnetism, we systematically explore the ground state of one-dimensional spin-imbalanced Anderson-Hubbard model by using the density-matrix…

Strongly Correlated Electrons · Physics 2017-10-23 M. Okumura , S. Yamada , N. Taniguchi , M. Machida

We consider the effects of single impurities on polarons in three-dimensions (3D) using a continuous time quantum Monte-Carlo algorithm. An exact treatment of the phonon degrees of freedom leads to a very efficient algorithm and we are able…

Strongly Correlated Electrons · Physics 2008-11-12 J. P. Hague , P. E. Kornilovitch , A. S. Alexandrov

We study the Anderson localization in systems, in which transport channels with rather different properties are coupled together. This problem arises naturally in systems of hybrid particles, such as exciton-polaritons, where it is not…

Disordered Systems and Neural Networks · Physics 2013-04-01 Hong-Yi Xie , M. Müller

The nearest-neighbor level spacing distribution is numerically investigated by directly diagonalizing disordered Anderson Hamiltonians for systems of sizes up to 100 x 100 x 100 lattice sites. The scaling behavior of the level statistics is…

Disordered Systems and Neural Networks · Physics 2009-10-30 Isa Kh. Zharekeshev , Bernhard Kramer

Anderson localization is ubiquitous in wavy systems with strong static and uncorrelated disorder. The delicate destructive interference underlying Anderson localization is usually washed out in the presence of temporal fluctuations or…

Disordered Systems and Neural Networks · Physics 2025-03-25 Stefano Longhi

We calculate the frequency-dependent mobility of the Holstein polaron in one dimension near adiabatic limit using the method based on dynamical quantum tipicality, as well as the quantum-classical method. The agreement between fully quantum…

Strongly Correlated Electrons · Physics 2025-05-09 Petar Mitrić , Vladimir Dobrosavljević , Darko Tanasković

We study the spreading dynamics of an initially localized wave packet in 1D nonlinear Schr\"{o}dinger lattices with random potential. It is shown that adding small dielectric coupling to surrounding random medium results in asymptotic…

Disordered Systems and Neural Networks · Physics 2025-07-31 Alexander V. Milovanov , Alexander Iomin

We report a numerical analysis of Anderson localization in a model of a doped semiconductor. The model incorporates the disorder arising from the random spatial distribution of the donor impurities and takes account of the electron-electron…

Materials Science · Physics 2015-06-04 Yosuke Harashima , Keith Slevin

Electron-phonon coupling, diagonal in a real space formulation, leads to polaron paradigm of smoothly varying properties. However, fundamental changes, namely the singular behavior of polarons, occur if non-diagonal pairing is involved into…

Strongly Correlated Electrons · Physics 2020-06-11 E. I. Shneyder , S. V. Nikolaev , M. V. Zotova , R. A. Kaldin , S. G. Ovchinnikov

We study a simple model for $f$-electron systems, the three-dimensional periodic Anderson model, in which localized $f$ states hybridize with neighboring $d$ states. The $f$ states have a strong on-site repulsion which suppresses the double…

Strongly Correlated Electrons · Physics 2009-11-07 Thereza Paiva , Gokhan Esirgen , Richard T. Scalettar , Carey Huscroft , A. K. McMahan

Anderson localization was discovered 50 years ago to describe the propagation of electrons in the presence of disorder. The main prediction back then, was the existence of disorder induced localized states, which do not conduct electricity.…

Disordered Systems and Neural Networks · Physics 2015-05-13 M. Hilke

We study the localization properties of non-interacting waves propagating in a speckle-like potential superposed on a one-dimensional lattice. Using a decimation/renormalization procedure, we estimate the localization length for a…

Disordered Systems and Neural Networks · Physics 2015-05-30 Serpil Sucu , Saban Aktas , S. Erol Okan , Zehra Akdeniz , Patrizia Vignolo

We study elastic electron scattering and localization by ubiquitous isotopic disorder in one-dimensional systems appearing due to interaction with phonon modes localized at isotope impurities. By using a tight-binding model with intersite…

Disordered Systems and Neural Networks · Physics 2024-08-21 K. S. Denisov , E. Ya. Sherman

We study multi-particle interactive quantum disordered systems on a polynomially-growing countable connected graph (Z,E). The novelty is to give localization bounds uniform in finite or infinite volumes (subgraphs) in Z^N as well as for the…

Mathematical Physics · Physics 2014-04-16 Victor Chulaevsky , Yuri Suhov