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We develop a first-principles electron-transport simulator based on the Lippmann--Schwinger (LS) equation within the framework of the real-space finite-difference scheme. In our fully real-space based LS (grid LS) method, the ratio…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Yoshiyuki Egami , Shigeru Iwase , Shigeru Tsukamoto , Tomoya Ono , Kikuji Hirose

We investigate in the equal-time formalism the derivation and truncation of infinite hierarchies of equations of motion for the energy moments of the covariant Wigner function. From these hierarchies we then extract kinetic equations for…

High Energy Physics - Phenomenology · Physics 2009-10-09 Pengfei Zhuang , Ulrich Heinz

The last decade has witnessed an impressive progress in the theoretical understanding of transport properties of clean, one-dimensional quantum lattice systems. Many physically relevant models in one dimension are Bethe-ansatz integrable,…

Strongly Correlated Electrons · Physics 2021-05-12 B. Bertini , F. Heidrich-Meisner , C. Karrasch , T. Prosen , R. Steinigeweg , M. Znidaric

We examine the effect of the decoherence-induced reduction of correlation length on a one-dimensional scattering problem by solving numerically the evolution equation for the Wigner function with decoherence proposed in [L. Barletti, G.…

Quantum Physics · Physics 2021-10-20 l. Barletti , P. Bordone , L. Demeio , E. Giovannini

We have studied the weakly non-linear quantum transport properties of a two-dimensional quantum wire which can be solved exactly. The non-linear transport coefficients have been calculated and interesting physical properties revealed. In…

Condensed Matter · Physics 2009-10-28 Jian Wang , Qingrong Zheng , Hong Guo

We use quantum kinetic theory to calculate the thermoelectric transport properties of the 2D single band Fermi-Hubbard model in the weak coupling limit. For generic filling, we find that the high-temperature limiting behaviors of the…

Quantum Gases · Physics 2021-11-03 Thomas G. Kiely , Erich J. Mueller

We discuss the steady-state electronic transport in solid-state and molecular devices in the quantum regime. The decimation technique allows a comprehensive description of the electronic structure. Such a method is used, in conjunction with…

Mesoscale and Nanoscale Physics · Physics 2008-03-26 Horacio M. Pastawski , Ernesto Medina

A systematic method of calculating the dynamical conductivity tensor in a general multiband electronic model with strong boson-mediated electron-electron interactions is described. The theory is based on the exact semiclassical expression…

Strongly Correlated Electrons · Physics 2013-03-13 I. Kupcic , Z. Rukelj , S. Barisic

We propose to use ultracold fermionic atoms in one-dimensional optical lattices to quantum simulate the electronic transport in quantum cascade laser (QCL) structures. The competition between the coherent tunneling among (and within) the…

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

Time periodic patterns in a semiconductor superlattice, relevant to microwave generation, are obtained upon numerical integration of a known set of drift-diffusion equations. The associated spatio-temporal transport mechanisms are uncovered…

Materials Science · Physics 2021-10-01 F. Terragni , L. L. Bonilla , J. M. Vega

We review the description and modeling of transport phenomena among the electron systems coupled via scalar or vector photons. It consists of three parts. The first part is about scalar photons, i.e., Coulomb interactions. The second part…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Jian-Sheng Wang , Jiebin Peng , Zu-Quan Zhang , Yong-Mei Zhang , Tao Zhu

It has been conjectured that transport in integrable one-dimensional (1D) systems is necessarily ballistic. The large diffusive response seen experimentally in nearly ideal realizations of the S=1/2 1D Heisenberg model is therefore puzzling…

Strongly Correlated Electrons · Physics 2010-12-01 J. Sirker , R. G. Pereira , I. Affleck

The Wigner function formalism has been applied to the analysis of elastic scattering processes. The new element of known formalism is the choice of the phase space on which the Wigner function is defined. This phase space is 4-dimensional…

High Energy Physics - Phenomenology · Physics 2010-08-09 I. Perevalova , M. Polyakov , O. Soldatenko , A. Vall

Electric transport in semiconductor superlattices is dominated by pronounced negative differential conductivity. In this report the standard transport theories for superlattices, i.e. miniband conduction, Wannier-Stark-hopping, and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Andreas Wacker

We consider the propagation of two-photon light in a random medium. We show that the Wigner distribution of the two-photon wave function obeys an equation that is analogous to the radiative transport equation for classical light. Using this…

Optics · Physics 2012-10-19 Manabu Machida , Vadim A Markel , John C Schotland

Thermal conductivity measurements can provide key and experimentally verifiable insight into the electronic transport of unconventional superconductors. In this work, electronic thermal transport of two-dimensional tight-binding metallic…

Superconductivity · Physics 2023-08-16 Sean F Peterson , Sourav Sen Choudhury , Yves Idzerda

A unified theoretical description of ballistic and diffusive carrier transport in parallel-plane semiconductor structures is developed within the semiclassical model. The approach is based on the introduction of a thermo-ballistic current…

Materials Science · Physics 2009-11-10 R. Lipperheide , U. Wille

Two different heat-transport mechanisms are discussed in solids: in crystals, heat carriers propagate and scatter particle-like as described by Peierls' formulation of the Boltzmann transport equation for phonon wavepackets. In glasses,…

Materials Science · Physics 2022-07-12 Michele Simoncelli , Nicola Marzari , Francesco Mauri

We derive an analytical expression of a Wigner function that approximately describes the time evolution of the one-dimensional motion of a particle in a nonharmonic potential. Our method involves two exact frame transformations, accounting…

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