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In the absence of confinement localization of waves takes place due to randomness or nonlinearity and relies on their phase coherence. We quantitatively probe the sensitivity of localized wave packets to random phase fluctuations and…

Disordered Systems and Neural Networks · Physics 2015-06-12 K. Rayanov , G. Radons , S. Flach

A Hamiltonian based approach using spatially localized projection operators is introduced to give precise meaning to the chemically intuitive idea of the electronic energy on a quantum subsystem. This definition facilitates the study of…

Quantum Physics · Physics 2015-06-11 Yaser R. Khan , Paul Brumer

Localized states in one-dimensional open disordered systems and their connection to the internal structure of random samples have been studied. It is shown that the localization of energy and anomalously high transmission associated with…

Disordered Systems and Neural Networks · Physics 2009-11-10 K. Yu. Bliokh , Yu. P. Bliokh , V. Freilikher

Disorder and coherence jointly govern wave transport in complex media. In Hermitian systems, a long-established paradigm since Anderson's work holds that disorder-induced localization relies on phase-coherent interference, and that the loss…

Optics · Physics 2026-04-07 Yudong Ren , Rui Zhao , Kangpeng Ye , Lu Zhang , Hongsheng Chen , Haoran Xue , Yihao Yang

Electron transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below are studied numerically. The scaling hypothesis is checked by analyzing the scaling of the quasi-1D localization length. A…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Asada , Keith Slevin , Tomi Ohtsuki

A simple statistical model for the effects of dephasing on electron transport in one-dimensional quantum systems is introduced, which allows to adjust the degree of phase and momentum randomization independently. Hence, the model is able to…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Thomas Stegmann , Matías Zilly , Orsolya Ujsághy , Dietrich E. Wolf

We study quantum phase coherence and weak localization (WL) in disordered metals with restricted back-scattering and phenomenologically formulate a large class of unconventional transport mechanisms as modified diffusion processes not…

Disordered Systems and Neural Networks · Physics 2010-08-06 Shimul Akhanjee

We have studied the peculiarities of electron transport in one-dimensional (1D) disordered chain at the presence of correlations between on-site interaction and tunneling integrals. In the considered models the disorder in host-lattice…

Disordered Systems and Neural Networks · Physics 2025-07-01 V. Slavin , Y. Savin , M. Klimov , M. Kiyashko

We formulate a quantum master equation for the many-particle density matrix of electrons propagating through a single-mode conductor, combining elastic scattering by disorder with time-resolved projective measurements that monitor the…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 J. Sánchez Fernán , J. Tworzydło , C. W. J. Beenakker

We investigate the localization behavior of electrons in a random lattice which is constructed from a quasi-one-dimensional chain with large coordinate number $Z$ and rewired bonds, resembling the small-world network proposed recently but…

Disordered Systems and Neural Networks · Physics 2009-10-31 Chen-Ping Zhu , Shi-Jie Xiong

We have studied the quantum oscillations of the conductance for arrays of connected mesoscopic metallic rings, in the presence of an external magnetic field. Several geometries have been considered: a linear array of rings connected with…

Disordered Systems and Neural Networks · Physics 2009-12-26 Christophe Texier , Pierre Delplace , Gilles Montambaux

This lecture is a tutorial introduction to coherent effects in disordered electronic systems. Avoiding technicalities as most as possible, I present some personal points of view to describe well-known signatures of phase coherence like weak…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gilles Montambaux

We investigate quantum coherence of electron spin transported through a semiconductor spintronic device, where spins are envisaged to be controlled by electrical means via spin-orbit interactions. To quantify the degree of spin coherence,…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Branislav K. Nikolic , Satofumi Souma

Anderson localization1 in a random system is sensitive to a distance dependence of the excitation transfer amplitude V(r). If V(r) decreases with the distance r slower than 1/r^d in a d-dimensional system then all excitations are…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander L. Burin

We study a one-dimensional model of disordered electrons (also relevant for random spin chains), which exhibits a delocalisation transition at half-filling. Exact probability distribution functions for the Wigner time and transmission…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Steiner , Yang Chen , M. Fabrizio , Alexander O. Gogolin

We study decoherence processes of an S = 1/2 localized spin coupled to conduction band electrons in a metal or a semiconductor via an Ising-like interaction. We derive master equations for the density matrix of the localized spin, by…

Materials Science · Physics 2009-11-13 Naoyoshi Yamada , Akimasa Sakuma , Hiroki Tsuchiura

We present a model of charge transport in organic molecular semiconductors based on the effects of lattice fluctuations on the quantum coherence of the electronic state of the charge carrier. Thermal intermolecular phonons and librations…

Other Condensed Matter · Physics 2009-11-11 J. -D. Picon , M. N. Bussac , L. Zuppiroli

We develop a new unified theoretical approach enabling us to non-perturbatively study the effect of electron-electron interactions on weak localization in arbitrary arrays of quantum dots. Our model embraces (i) weakly disordered conductors…

Mesoscale and Nanoscale Physics · Physics 2008-07-22 D. Golubev , A. Zaikin

The behaviors of one-dimensional quantum random walks are strikingly different from those of classical ones. However, when decoherence is involved, the limiting distributions take on many classical features over time. In this paper, we…

Quantum Physics · Physics 2009-11-13 Kai Zhang

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 Asok K. Sen