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I review the quantum theory of the electron moving in a random environment. First, the quantum mechanics of individual particles scattered on a random potential is discussed. The quantum-mechanical description is extended to many-body…

Disordered Systems and Neural Networks · Physics 2021-09-13 Václav Janiš

In computing electric conductivity based on the Kubo formula, the vertex corrections describe such effects as anisotropic scattering and quantum interference and are important to quantum transport properties. These vertex corrections are…

Materials Science · Physics 2020-09-10 Yi-Wen Wei , Chao-Kai Li , Yuchuang Cao , Ji Feng

For the massless N=1supersymmetric electrodynamics, regularized by higher derivatives, the Feynman diagrams, which define the divergent part of the two-point Green function and can not be found from Schwinger-Dyson equations and Ward…

High Energy Physics - Theory · Physics 2009-11-11 K. Stepanyantz

Using diagrammatic methods, we show how the Ward identity can be used to constrain the ladder kernel in transport coefficient calculations. More specifically, we use the Ward identity to determine the necessary diagrams that must be…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. -S. Gagnon , S. Jeon

We continue our study of large charge limits of the defect CFT defined by the half-BPS Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. In this paper, we compute $1/J$ corrections to the correlation function of two…

High Energy Physics - Theory · Physics 2022-08-24 Simone Giombi , Shota Komatsu , Bendeguz Offertaler

We consider modified dispersion relations in quantum field theory on curved space-time. Such relations, despite breaking the local Lorentz invariance at high energy, are considered in several phenomenological approaches to quantum gravity.…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Massimiliano Rinaldi

We present systematic ab initio calculations of the charge carrier correlations between adjacent layers of two-dimensional materials in the presence of both charged impurity and strain disorder potentials using the examples of monolayer and…

Materials Science · Physics 2019-06-17 Martin-Isbjörn Trappe , Derek Y. H. Ho , Shaffique Adam

A general algebraic method of quantum corrections evaluation is presented. Quantum corrections to a few classical solutions (kinks and periodic) of Ginzburg-Landau (phi-in-quadro) and Sin-Gordon models are calculated in arbitrary…

Quantum Physics · Physics 2008-04-09 Sergey Leble , Anatolij Zaitsev

We bring forward a Green function approach for the prediction of Floquet topological phases in driven superconductor-semiconductor hybrids. Although it is common to treat the superconducting component as a mere Cooper-pair reservoir, it was…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 Mohamed Assili , Panagiotis Kotetes

A quantum wire of uniform cross section (but with eventual disorder) with three regions: dot, left lead, and right lead, is considered. Assuming that the same unitary transformation diagonalizes all unit cells of this wire, we propose a new…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mohammad Mardaani , Keivan Esfarjani

The nonlinear conductance of semiconductor heterostructures and single molecule devices exhibiting Kondo physics has recently attracted attention. We address the observed sample dependence of the measured steady state transport coefficients…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 Enrique Muñoz , C. J. Bolech , Stefan Kirchner

Power duality in Feynman's path integral formulation of quantum mechanics is investigated. The power duality transformation consists of a change in coordinate and time variables, an exchange of energy and coupling, and a classical angular…

Quantum Physics · Physics 2024-01-18 Akira Inomata , Georg Junker

We have developed a Green's function formalism based on the use of an overcomplete semicoherent basis of vortex states, specially devoted to the study of the Hamiltonian quantum dynamics of electrons at high magnetic fields and in an…

Mesoscale and Nanoscale Physics · Physics 2009-09-21 T. Champel , S. Florens

We investigate quantum dynamics and kinetics of a 2D conductor with closed Fermi surface reconstructed by a biaxial density wave, in which electrons move along a two-dimensional periodic net of semiclassical trajectories coupled by the…

Strongly Correlated Electrons · Physics 2021-10-28 A. M. Kadigrobov , B. Keran , D. Radić

We consider a two-dimensional electron system subjected to a short-ranged nonmagnetic disorder potential, Coulomb interactions, and Rashba spin-orbit coupling. The path-integral approach incorporated within the Keldysh formalism is used to…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Maxim Dzero , Alex Levchenko

Magnetotransport of superconducting Nd_{2-x}Ce_xCuO_{4+y} (NdCeCuO) films is studied in the temperature interval 0.3-30 K. The microscopic theory of the quantum corrections to conductivity, both in the Cooper and in the diffusion channels,…

Strongly Correlated Electrons · Physics 2009-11-10 V. F. Gantmakher , S. N. Ermolov , G. E. Tsydynzhapov , A. A. Zhukov , T. I. Baturina

We give a further step in the quantum mechanical description of engineered atomic spin structures by deriving a master equation of the Redfield type that governs the dynamics of the atomic spin density matrix. By generalizing this approach…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Alexey M. Shakirov , Yulia E. Shchadilova , Alexey N. Rubtsov , Pedro Ribeiro

We study the transport properties in nodal line semimetals with short-ranged impurity potentials at zero temperature. By computing the Drude conductivity and the corrections from the interference of particle and hole trajectories, we find…

Mesoscale and Nanoscale Physics · Physics 2019-08-26 Hui Yang , Fa Wang

In this paper, we explore quantum interference in molecular conductance from the point of view of graph theory and walks on lattices. By virtue of the Cayley-Hamilton theorem for characteristic polynomials and the Coulson-Rushbrooke pairing…

Chemical Physics · Physics 2018-04-26 Yuta Tsuji , Ernesto Estrada , Ramis Movassagh , Roald Hoffmann

The transport properties of serially coupled quantum dots (SCQDs) embedded in a matrix connected to metallic electrodes are theoretically studied in the linear and nonlinear regimes. The current rectification and negative differential…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Yen-Chun Tseng , David M. -T. Kuo