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We have formulated the problem of electron transport through interacting quantum dot system in the framework of self-consistent perturbation theory, and show that the current conservation condition is guaranteed due to the gauge invariant…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Guo-Hui Ding , Bing Dong

In nanoscale junctions the interaction between charge carriers and the local vibrations results in renormalization, damping and heating of the vibrational modes. We here formulate a nonequilibrium Green's functions based theory to describe…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 Kristen Kaasbjerg , Tomáš Novotný , Abraham Nitzan

We study quantum-mechanically the frequency-dependent current noise of a tunnel-junction coupled to a nanomechanical oscillator. The cases of both DC and AC voltage bias are considered, as are the effects of intrinsic oscillator damping.…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 A. A. Clerk , S. M. Girvin

We study the role of excited phonon populations in the relaxation rates of nonequilibrium electrons using a nonequilibrium Green's function formalism. The transient modifications in the phononic properties are accounted for by…

Strongly Correlated Electrons · Physics 2018-12-12 O. Abdurazakov , D. Nevola , A. Rustagi , J. K. Freericks , D. B. Dougherty , A. F. Kemper

We consider a Josephson contact mediated by 1D chiral modes on a surface of a 3D topological insulator with superimposed superconducting and magnetic layers. The system represents an interferometer in which 1D chiral Majorana modes on the…

Superconductivity · Physics 2018-12-06 Dmitriy S. Shapiro , Alexander D. Mirlin , Alexander Shnirman

We calculate the nonequilibrium conductance through a molecule or a quantum dot in which the occupation of the relevant electronic level is coupled with intensity $\lambda$ to a phonon mode, and also to two conducting leads. The system is…

Strongly Correlated Electrons · Physics 2015-06-15 P. Roura-Bas , L. Tosi , A. A. Aligia

Nonequilibrium charge transport through a trimer molecular transistor composed of three quantum dots arranged in a triangular geometry, which is placed on a substrate, has been studied in the presence of electron electron and electron…

Mesoscale and Nanoscale Physics · Physics 2025-11-19 Hemant Kumar Sharma

The thermoelectric properties of quantum dot arrays (QDAs) embedded in nanowires connected to electrodes are studied theoretically in the Coulomb blockade regime. A Hurbbard-Anderson model is used to simulate the electronic contribution to…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 Yen-Chun Tseng , David M. -T. Kuo , Yia-Chung Chang , Chia-Wei Tsai

We present an escape rate theory for current-induced chemical reactions. We use Keldysh nonequilibrium Green's functions to derive a Langevin equation for the reaction coordinate. Due to the out of equilibrium electronic degrees of freedom,…

Mesoscale and Nanoscale Physics · Physics 2013-04-03 Alan A. Dzhioev , Daniel S. Kosov , Felix von Oppen

In this work we study the effects of nonadiabatic external driving on the thermodynamics of an electronic system coupled to two electronic leads and to a phonon mode, with and without damping. In the limit of slow driving, we establish…

Statistical Mechanics · Physics 2022-06-03 Jakob Bätge , Amikam Levy , Wenjie Dou , Michael Thoss

We show how to compute the spectral function for a scalar theory in two different scenarios: one which disregards back-reaction i.e. the response of the environment to the external particle, and the other one where back-reaction is…

High Energy Physics - Phenomenology · Physics 2017-08-16 Sebastian Mendizabal , Juan Cristobal Rojas

Atomic-scale junctions are a powerful tool to study quantum transport, and are frequently examined through the mechanically controllable break junction technique (MCBJ). The junction-to-junction variation of atomic configurations often…

Mesoscale and Nanoscale Physics · Physics 2014-11-12 Ruoyu Chen , Manuel Matt , Fabian Pauly , Peter Nielaba , Juan Carlos Cuevas , Douglas Natelson

The paper investigates theoretically effects of noise on low-bias parts of $IV$ curves of tunnel junctions. The analysis starts from the effect of shot noise from an additional (noise) junction on the Coulomb blockaded Josephson junction in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. B. Sonin

We present a general nonequilibrium Green's function formalism for modeling heat transfer in systems characterized by linear response that establishes the formal algebraic relationships between phonon and radiative conduction, and reveals…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Prashanth S. Venkataram , Riccardo Messina , Juan Carlos Cuevas , Philippe Ben-Abdallah , Alejandro W. Rodriguez

Here we present a theoretical analysis of inelastic effects on thermoelectric properties of molecular-scale junction in both linear and nonlinear response regimes. Considered device is composed of molecular quantum dot (with discrete energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Kamil Walczak

We use both a perturbative Green's function analysis and standard perturbative quantum mechanics to calculate the decrease in energy and the effective mass for an electron interacting with acoustic phonons. The interaction is between the…

Strongly Correlated Electrons · Physics 2011-02-11 Zhou Li , Carl J. Chandler , F. Marsiglio

Transport through a single molecular conductor is considered, showing negative differential conductance behavior associated with phonon-mediated electron tunneling processes. This theoretical work is motivated by a recent experiment by…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alex Zazunov , Denis Feinberg , Thierry Martin

We present an analysis of the transient electronic and transport properties of a nanojunction in the presence of electron-electron and electron-phonon interactions. We introduce a novel numerical approach which allows for an efficient…

Mesoscale and Nanoscale Physics · Physics 2018-09-13 R. Seoane Souto , R. Avriller , A. Levy Yeyati , A. Martín-Rodero

The time-dependent thermopower is analyzed through an interacting quantum dot coupled to a time-dependent gate voltage and under the influence of an external magnetic field using the Keldysh nonequilibrium Green's function formalism. Formal…

Mesoscale and Nanoscale Physics · Physics 2012-06-12 M. Bagheri Tagani , H. Rahimpour Soleimani

The role of electron-phonon scattering in finite-temperature anomalous Hall effect is still poorly understood. In this work, we present a Boltzmann theory for the side-jump contribution from electron-phonon scattering, which is derived from…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Cong Xiao , Ying Liu , Ming Xie , Shengyuan A. Yang , Qian Niu
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