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Related papers: Scattering Matrix Theory For Nonlinear Transport

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An expression for the transmission matrix based conductance is provided for the propagation of scalar waves in certain bifurcated discrete waveguides using the paradigm of a three-terminal Landauer-Buttiker junction. It is found that the…

Mesoscale and Nanoscale Physics · Physics 2018-08-09 Basant Lal Sharma

Examining cables using many conductor transmission line theory has shed light on the modes supported by various cable types. However, so far the theory disregards the fundamental surface wave mode whose lateral confinement increases with…

Classical Physics · Physics 2021-11-22 Tobias Schaich , Daniel Molnar , Anas Al Rawi , Mike Payne

We introduce a hierarchy of density of states to characterize the charge distribution in a mesoscopic conductor. At the bottom of this hierarchy are the partial density of states which represent the contribution to the local density of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Markus Buttiker

We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

A transfer matrix method is presented for solving the scattering problem for the quasi one-dimensional massless Dirac equation applied to graphene in the presence of an arbitrary inhomogeneous electric and perpendicular magnetic field. It…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Sameer Grover , Sankalpa Ghosh , Manish Sharma

We consider the problem of a semiclassical description of quantum chaotic transport, when a tunnel barrier is present in one of the leads. Using a semiclassical approach formulated in terms of a matrix model, we obtain transport moments as…

Chaotic Dynamics · Physics 2022-07-06 Pedro H. S. Bento , Marcel Novaes

A discrete drift-diffusion model is derived from a microscopic sequential tunneling model of charge transport in weakly coupled superlattices provided temperatures are low or high enough. Realistic transport coefficients and novel contact…

Condensed Matter · Physics 2009-10-31 L. L. Bonilla , G. Platero , D. Sanchez

This article is an overview of recent experimental and theoretical work on transport in phase-coherent hybrid nanostructures, with particular emphasis on dc electrical conduction. A summary of multiple scattering theory and the…

Superconductivity · Physics 2009-10-30 C. J. Lambert , R. Raimondi

Stationary electric transport in semiconductor nanostructures is studied by the method of nonequilibrium Green functions. In the case of sequential tunneling the results are compared with density matrix theory, providing almost identical…

Mesoscale and Nanoscale Physics · Physics 2008-09-12 Andreas Wacker

We present a scattering theory for the efficient transmission of an excitation across a finite network with designed disorder. We show that the presence of randomly positioned networks sites allows to significantly accelerate the excitation…

Quantum Physics · Physics 2017-11-22 Mattia Walschaers , Roberto Mulet , Andreas Buchleitner

The scattering picture of electron transport in mesoscopic conductors shows that fluctuations of the current reveal additional information on the scattering mechanism not available through the conductance alone. The electronic fluctuations…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 Matthias Hübler , Wolfgang Belzig

Nonlinear effects are omnipresent in thin films of ion conducting materials showing up as a significant increase of the conductivity. For a disordered hopping model general physical mechanisms are identified giving rise to the occurrence of…

Disordered Systems and Neural Networks · Physics 2015-06-18 Andreas Heuer , Lars Luehning

We study the transport properties of nonautonomous chaotic dynamical systems over a finite time duration. We are particularly interested in those regions that remain coherent and relatively non-dispersive over finite periods of time,…

Dynamical Systems · Mathematics 2015-05-19 Gary Froyland , Naratip Santitissadeekorn , Adam Monahan

Nonlinear disordered media uniquely combine multiple scattering and second-harmonic generation. Here, we investigate the statistical properties of the nonlinear light generated within such media. We report super-Rayleigh statistics of the…

The high efficiency of a tunnel magnetic transistor as a source of spin-polarized electrons has been proven recently [X. Jiang {\it et al.}, Phys. Rev. Lett. {\bf 90}, 256603 (2003)]. A concept of this device based on an active group of hot…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Emmanuel I. Rashba

Inelastic scattering and carrier capture by defects in semiconductors are the primary causes of hot-electron-mediated degradation of power devices, which holds up their commercial development. At the same time, carrier capture is a major…

Materials Science · Physics 2015-12-30 Georgios D. Barmparis , Yevgeniy S. Puzyrev , X. -G. Zhang , Sokrates T. Pantelides

We show that the random matrix theory with non-integer "symmetry parameter" beta describes the statistics of transport parameters of strongly disordered two dimensional systems.

Disordered Systems and Neural Networks · Physics 2007-05-23 Peter Markos

We propose a theory that treats the current, noise, and, generally, the full current statistics of electron transfer in a mesoscopic system in a unified, simple and efficient way. The theory appears to be a circuit theory of $2\times 2$…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yu. V. Nazarov , D. A. Bagrets

Electron conductivity is an important material property that can provide a wealth of information about the underlying system. Especially, the response of the conductivity with respect to electromagnetic fields corresponds to various…

Mesoscale and Nanoscale Physics · Physics 2019-06-27 Yang Gao

The current carried by a material subject to an electric field is microscopically inhomogeneous and can be modelled using scattering theory, in which electrons undergo collisions with the microscopic objects they encounter. We herein…

Materials Science · Physics 2018-10-16 Eleni Chatzikyriakou , Padeleimon Karafiloglou , Joseph Kioseoglou