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Quantum transport studies of spin-dependent phenomena in solids commonly employ the Kubo or Keldysh formulas for the nonequilibrium density operator in the steady-state linear-response regime. Its trace with operators of interest, such as…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Simao M. Joao , Marko D. Petrovic , J. M. Viana Parente Lopes , Aires Ferreira , Branislav K. Nikolic

The breakdown of conductance quantization in a quantum point contact in the presence of random long-range impurity potential is discussed. It is shown that in the linear response regime a decisive role is played by the indirect…

Condensed Matter · Physics 2007-05-23 A. M. Zagoskin , S. N. Rashkeev , R. I. Shekhter , G. Wendin

We describe the theory of Fermi-type acceleration, including first-order Fermi acceleration at a parallel shock front and second-order Fermi acceleration in a test particle limit. Including the theory of the turbulent acceleration and the…

High Energy Astrophysical Phenomena · Physics 2018-07-11 Y. G. Zheng , G. B. Long , C. Y. Yang , J. M. Bai

We consider scattering and transport in interacting quantum wires that are connected to leads. Such a setup can be represented by a minimal model of interacting fermions with inhomogeneities in the form of sudden changes in interaction…

Strongly Correlated Electrons · Physics 2012-09-10 N. Sedlmayr , J. Ohst , I. Affleck , J. Sirker , S. Eggert

We develop a semiclassical theory for spin-dependent quantum transport in ballistic quantum dots. The theory is based on the semiclassical Landauer formula, that we generalize to include spin-orbit and Zeeman interaction. Within this…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Oleg Zaitsev , Diego Frustaglia , Klaus Richter

This chapter reviews the effects of interactions in quasi-one dimensional systems, such as the Bechgaard and Fabre salts, and in particular the Luttinger liquid physics. It discusses in details how transport measurements both d.c. and a.c.…

Strongly Correlated Electrons · Physics 2015-06-25 T. Giamarchi

We consider the electron transport properties through fully interacting nanoscale junctions beyond the linear-response regime. We calculate the current flowing through an interacting region connected to two interacting leads, with…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 H. Ness , L. K. Dash

The environment of a quantum dot, which is connected to two leads, is modeled by telegraph noise, i.e. random Markovian jumps of the (spinless) electron energy on the dot between two levels. The temporal evolutions of the charge on the dot…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Shmuel Gurvitz , Amnon Aharony , Ora Entin-Wohlman

The effects of the propagation of particles which have a finite life time and an according width in their mass spectrum are discussed in the context of transport descriptions. In the first part the coupling of soft photon modes to a source…

High Energy Physics - Phenomenology · Physics 2013-01-16 J. Knoll , Yu. B. Ivanov , D. N. Voskresensky

We investigate the transport through a few-level quantum system described by a Markovian master equation with temperature- and particle-density dependent chemical potentials. From the corresponding Onsager relations we extract linear…

Quantum Gases · Physics 2014-02-03 Christian Nietner , Gernot Schaller , Tobias Brandes

We use a self-consistent strong-coupling expansion for the self-energy (perturbation theory in the hopping) to describe the nonequilibrium dynamics of strongly correlated lattice fermions. We study the three-dimensional homogeneous…

Strongly Correlated Electrons · Physics 2014-11-18 K. Mikelsons , J. K. Freericks , H. R. Krishnamurthy

The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar importance to correlated electron physics as the Ising model is to statistical mechanics or the fruit fly to biomedical science. Despite its…

Strongly Correlated Electrons · Physics 2022-07-18 Mingpu Qin , Thomas Schäfer , Sabine Andergassen , Philippe Corboz , Emanuel Gull

Electron transport through nanodevices of atoms in a single-layer rectangular arrangement with free (open) boundary conditions parallel to the direction of the current flow is studied within the single-band tight binding model. The Landauer…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 G. Inkoom , M. A. Novotny

Landauer's formula relates the conductance of a quantum wire or interface to transmission probabilities. Total transmission probabilities are frequently calculated using Green function techniques and an expression first derived by Caroli.…

Materials Science · Physics 2007-05-23 P. A. Khomyakov , G. Brocks , V. Karpan , M. Zwierzycki , P. J. Kelly

We study the interacting quantum dot coupled to the normal and superconducting leads by means of a continuous-time quantum Monte Carlo method in the Keldysh-Nambu formalism. Deducing the steady current through the quantum dot under a finite…

Strongly Correlated Electrons · Physics 2014-11-10 Akihisa Koga

The transmission through a magnetic layer of correlated electrons sandwiched between non-interacting normal-metal leads is studied within model calculations. We consider the linear regime in the framework of the Meir-Wingreen formalism,…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Andreas Weh , Wilhelm H. Appelt , Andreas Östlin , Liviu Chioncel , Ulrich Eckern

The interplay between electronic interactions and disorder is neglected in the conventional Boltzmann theory of transport, yet can play an essential role in determining the resistivity of unconventional metals. When quasiparticles are…

Strongly Correlated Electrons · Physics 2018-01-10 Andrew Lucas , Sean A. Hartnoll

Starting with general semiclassical equations of motion for electrons in the presence of electric and magnetic fields, we extend the Chambers formula to include in addition to a magnetic field, time-dependent electric fields and bands with…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 Emmanouil K. Kokkinis , Garry Goldstein , Dmitry Efremov , Joseph J. Betouras

We study charge transport in the Peierls-Harper model with a quasi-periodic cosine potential. We compute the Landauer-type conductance of the wire. Our numerical results show the following: (i) When the Fermi energy lies in the absolutely…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Tohru Koma , Toru Morishita , Taro Shuya

We present first principles calculations for the conductance of a hydrogen molecule bridging a pair of Pt electrodes. The transmission function has a wide plateau with T~1 which extends across the Fermi level and indicates the existence of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. S. Thygesen , K. W. Jacobsen