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We consider the scattering matrix approach to quantum electron transport in meso- and nano-conductors. This approach is an alternative to the more conventional kinetic equation and Green's function approaches, and often is more efficient…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 G. B. Lesovik , I. A. Sadovskyy

We derive an exact expression for the differential conductance for a quantum dot in an arbitrary magnetic field for small bias voltage. The derivation is based on the symmetric Anderson model using renormalized perturbation theory and is…

Strongly Correlated Electrons · Physics 2009-11-11 A. C. Hewson , J. Bauer , A. Oguri

Inelastic phonon scattering in graphene field-effect transistors (FETs) is studied by numerically solving the Boltzmann transport equation in three dimensional real and phase spaces (x, kx, ky). A kink behavior due to ambipolar transport…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Jyotsna Chauhan , Jing Guo

We calculate the inelastic scattering probabilities in the wide band limit of a local polaron model with quadratic coupling to bosons. The central object is a two-particle Green function which is calculated exactly using a purely algebraic…

Materials Science · Physics 2010-03-25 Thomas Olsen

The dynamical interplay between electron-electron interactions and electron-phonon coupling is investigated within the Anderson-Holstein model, a minimal model for open quantum systems that embody these effects. The influence of phonons on…

Strongly Correlated Electrons · Physics 2016-05-25 Hsing-Ta Chen , Guy Cohen , Andrew J. Millis , David R. Reichman

We derive frequency moment sum rules for the retarded electronic Green's function and self-energy of the Holstein model for both equilibrium and nonequilibrium cases. We also derive sum rules for the phonon propagator in equilibrium and…

Strongly Correlated Electrons · Physics 2014-03-25 J. K. Freericks , Khadijeh Najafi , A. F. Kemper , T. P. Devereaux

We describe an implementation of ab-initio methodology to compute inelastic shot noise signals due to electron-vibration scattering in nanoscale junctions. The method is based on the framework of non-equilibrium Keldysh Green's functions…

Mesoscale and Nanoscale Physics · Physics 2012-10-11 R. Avriller , T. Frederiksen

Our objective is to study resonant tunneling of an electron in the presence of inelastic scattering by optical phonons. Using a recently developed technique, based on exact mapping of a many-body problem onto a one-body problem, we compute…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Haule , J. Bonca

Here we present theoretical studies of the effect of vibronic coupling on nonlinear transport characteristics (current-voltage and conductance-voltage) in molecular electronic devices. Considered device is composed of molecular quantum dot…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Kamil Walczak

A new non-ballistic analytical model for the intrinsic channel region of MOSFET-like single-walled carbon-nanotube field-effect transistors with ohmic contacts has been developed which overcomes the limitations of existing models and…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Igor Bejenari , Martin Claus

The electron structure function method is applied to calculate model-independent radiative corrections to an asymmetry of electron-proton scattering. The representations for both spin-independent and spin-dependent parts of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Afanasev , I. Akushevich , N. P. Merenkov

Due to random dopant fluctuations, the device-to-device variability is a serious challenge to emerging nanoelectronics. In this work we present theoretical formalisms and numerical simulations of quantum transport variability, based on the…

Mesoscale and Nanoscale Physics · Physics 2013-11-14 Yu Zhu , Lei Liu , Hong Guo

Non-equilibrium Green's functions (NEGF) formalism combined with extended Huckel (EHT) and charging model are used to study electrical conduction through single-molecule junctions. Analyzed molecular complex is composed of asymmetric…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Kamil Walczak , Sergey Edward Lyshevski

Recent experimental advances probing coherent phonon and electron transport in nanoscale devices at contact have motivated theoretical channel-based analyses of conduction based on the nonequilibrium Green's function formalism. The…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Prashanth S. Venkataram , Sean Molesky , Juan Carlos Cuevas , Alejandro W. Rodriguez

Electron transport in periodic quantum dot arrays in the presence of interactions with phonons was investigated using the formalism of nonequilibrium Green's functions. The self-consistent Born approximation was used to model the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Nenad Vukmirović , Zoran Ikonić , Dragan Indjin , Paul Harrison

Mode space approach has been used so far in NEGF to treat phonon scattering for computational efficiency. Here we perform a more rigorous quantum transport simulation in real space to consider interband scatterings as well. We show a…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Youngki Yoon , Dmitri E. Nikonov , Sayeef Salahuddin

Electronic transport in a model molecular device coupled to local phonon modes is theoretically analyzed. The method allows for obtaining an accurate approximation of the system's quantum state irrespective of the electron and phonon energy…

Mesoscale and Nanoscale Physics · Physics 2007-10-10 Antonino La Magna , Ioannis Deretzis

We describe a method for numerically incorporating electron--electron scattering in quantum wells for small deviations of the distribution function from equilibrium, within the framework of the Boltzmann equation. For a given temperature…

Condensed Matter · Physics 2009-10-28 Ben Yu-Kuang Hu , Karsten Flensberg

The electronic structure of organic-inorganic interfaces often feature resonances originating from discrete molecular orbitals coupled to continuum lead states. An example are molecular junctions, individual molecules bridging electrodes,…

Mesoscale and Nanoscale Physics · Physics 2014-10-08 Zhenfei Liu , Jeffrey B. Neaton

The past decade has seen the emergence of ab initio computational methods for calculating phonon-limited carrier mobilities in semiconductors with predictive accuracy. More realistic calculations ought to take into account additional…

Materials Science · Physics 2023-04-12 Joshua Leveillee , Xiao Zhang , Emmanouil Kioupakis , Feliciano Giustino