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We present a scattering theory of transport through noncollinear disordered magnetic insulators. For concreteness, we study and compare the random field model (RFM) and the random anisotropy model (RAM). The RFM and RAM are used to model…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Martin Fonnum Jakobsen , Alireza Qaiumzadeh , Arne Brataas

Transport properties of a two-band system with spectral nodes are studied in the presence of random scattering. Starting from a Grassmann functional integral, we derive a bosonic representation that is based on random phase fluctuations.…

Disordered Systems and Neural Networks · Physics 2015-01-22 K. Ziegler

One-dimensional electrons with a linearized dispersion relation are equivalent to a collection of harmonic plasmon modes, which represent long wavelength density oscillations. An immediate consequence of this Luttinger model of…

Strongly Correlated Electrons · Physics 2015-06-18 Stanislav Apostolov , Dong E. Liu , Zakhar Maizelis , Alex Levchenko

A Drude-Boltzmann theory is used to calculate the transport properties of bilayer graphene. We find that for typical carrier densities accessible in graphene experiments, the dominant scattering mechanism is overscreened Coulomb impurities…

Mesoscale and Nanoscale Physics · Physics 2008-03-22 Shaffique Adam , S. Das Sarma

Quantum transport through the junction between two metallic carbon nanotubes connected by intertube links has been studied within the TB method and Landauer formula. It is found that the conductance oscillates with both of the coupling…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jia-Lin Zhu , Fu-fang Xu , Yu-feng Jia

In this communication we apply the Landauer method and transfer matrix formalism to the calculation of spin current in magnetic multilayered structures within a ballistic quantum-mechanical regime. The method provides an elegant and…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Valentin Fadeev , Andrey Umerski

In this thesis we derive a hydrodynamical model to describe the dynamics of density excitations localized at the edges of a Quantum Hall bar. In particular we show that the chiral Luttinger liquid model for the edges excitations can be…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto D'Agosta

This review is devoted to the different techniques that have been developed to compute the phase-coherent transport properties of quantum nanoelectronic systems connected to electrodes. Beside a review of the different algorithms proposed…

We present a systematic formulation of scattering theory for nonlinear interactions in one dimension and develop a nonlinear generalization of the transfer matrix that has a composition property similar to its linear analog's. We offer…

Quantum Physics · Physics 2019-01-25 Ali Mostafazadeh

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

Nonequilibrium electronic transport through a molecular level weakly coupled to a single coherent phonon/vibration mode has been studied for superconducting leads. The Keldysh Green function formalism is used to compute the current for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Zazunov , R. Egger , C. Mora , T. Martin

In this commentary, we clarify that the Landauer formula is not limited to the phonon gas model. It is fundamentally more general and applies to both particle- and wave-based descriptions of phonons, provided the transmission function is…

Mesoscale and Nanoscale Physics · Physics 2026-03-05 Jinghang Dai , Zhiting Tian

An easy to implement and powerful method for the solution of 3D scattering problems that can be well described by Helmholtz equation is presented. The matrix algebra used provides excellent stability versus the number of junctions as well…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. A. Torres , J. J. Saenz

An amazingly simple model of correlated disorder is a one-dimensional chain of n potential steps with a fixed width lc and random heights. A theoretical analysis of the average transmission coefficient and Landauer resistance as functions…

Disordered Systems and Neural Networks · Physics 2014-10-03 Marlos Díaz , Pier A. Mello , M. Yépez , Steven Tomsovic

The Landauer-B\"uttiker formalism provides a simple and insightful way for investigating many phenomena in mesoscopic physics. By this approach we derive general formulas for the energy properties and apply them to the basic setups. Of…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Danilo Sergi

When impurity and phonon scattering coexist, the Boltzmann equation has been solved accurately for nonlinear electron transport in a quantum wire. Based on the calculated non-equilibrium distribution of electrons in momentum space, the…

Strongly Correlated Electrons · Physics 2015-05-18 Danhong Huang , Godfrey Gumbs

In their calculations based on the Landauer transport equation, Akguc and Gong [Phys. Rev. B 80, 195408 (2009)] obtained an expression for the heat conductance of a quantum wire valid in the ballistic regime and in the limit of vanishing…

Mesoscale and Nanoscale Physics · Physics 2010-06-29 Marcos G. Menezes , Jordan Del Nero , Rodrigo B. Capaz , Luis G. C. Rego

We study the scattering properties of a bi-inductive electrical lattice consisting of a one-dimensional array of coupled LC units. For an initially localized electrical excitation, and in the absence of any impurity, we compute in closed…

Pattern Formation and Solitons · Physics 2021-10-08 Mario I. Molina

The problem of nonlinear transport in a two dimensional superconductor with an applied oscillating electric field is solved by the holographic method. The complex conductivity can be computed from the dynamics of the current for both near-…

High Energy Physics - Theory · Physics 2016-06-22 Hua Bi Zeng , Yu Tian , Zhe Yong Fan , Chiang-Mei Chen

We develop a new approach to electron transport in mesoscopic systems by using a particular single-particle basis. Although this basis generates redundant many-particle amplitudes, it greatly simplifies the treatment. By using our method…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Shmuel Gurvitz