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We present a quaternion inspired formalism specifically developed to evaluate the intensity of the electrical current that traverses a single molecule connected to two semi-infinite electrodes as the applied external bias is varied. The…

Mesoscale and Nanoscale Physics · Physics 2012-01-18 Augusto C. L. Moreira , Celso P. de Melo

In the linear regime, Onsager's response matrix provides the coupling between heat and charge currents crossing a section of thermoelectric materials of infinitesimal thickness. Integrating this response over the finite thickness of a…

Statistical Mechanics · Physics 2024-12-20 Paul Raux , Christophe Goupil , Gatien Verley

Motivated by recent experiments [Vera-Marun et al., arXiv:1109.5969], we formulate a non-linear theory of spin transport in quantum coherent conductors. We show how a mesoscopic constriction with energy-dependent transmission can convert a…

Mesoscale and Nanoscale Physics · Physics 2012-08-15 Peter Stano , Jaroslav Fabian , Philippe Jacquod

Study of various interesting features related to the nonlinear electrical response in composite materials through a model bond percolative system.

Condensed Matter · Physics 2007-05-23 Abhijit Kar Gupta , Asok K. Sen

Nonlinear absorption in four and five energy level systems have been studied with the aid of steady-state rate equation approach. We report on the tunability of saturable and reverse saturable absorption as a function of spectroscopic…

Optics · Physics 2018-02-28 A. Srinivasa Rao

Nanoelectromechanical resonators provide an ideal platform for investigating the interplay between electron transport and nonlinear mechanical motion. Externally driven suspended carbon nanotubes, containing an electrostatically defined…

We introduce a model of a nonlinear double-barrier structure, to describe in a simple way the effects of electron-electron scattering while remaining analytically tractable. The model is based on a generalized effective-mass equation where…

Condensed Matter · Physics 2009-10-28 Enrique Diez , Angel Sanchez , Francisco Dominguez-Adame

Power transmission in one-dimensional nonlinear magnetic metamaterials driven at one end is investigated numerically and analytically in a wide frequency range. The nonlinear magnetic metamaterials are composed of varactor-loaded split-ring…

Classical Physics · Physics 2015-05-27 Nikos Lazarides , Vassilis Paltoglou , G. P. Tsironis

For the hopping dynamics in a one-dimensional model, containing energy and barrier disorder, we determine the linear and nonlinear response to an external field for arbitrary external frequencies. The calculation is performed in analytical…

Disordered Systems and Neural Networks · Physics 2013-02-15 Clara Mattner , Bernhard Roling , Andreas Heuer

We develop a linear theory of electron transport for a system of two identical quantum wires in a wide range of the wire length L, unifying both the ballistic and diffusive transport regimes. The microscopic model, involving the interaction…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. E. Raichev , P. Vasilopoulos

Closed nonrelativistic (nonretarded) theory of conservative and dissipative electromagnetic forces and heat exchange between moving particles (nanoprobes) and a surface (flat and cylindrical) is reviewed. The formalism is based on methods…

Mesoscale and Nanoscale Physics · Physics 2011-03-29 G. V. Dedkov , A. A. Kyasov

We consider the nonlinear Voltage-Conductance kinetic equation arising in neuroscience. We establish the existence of solutions in a weighted $L^\infty$ framework in a weak interaction regime. We also prove the linear asymptotic exponential…

Analysis of PDEs · Mathematics 2024-08-06 Claudia Fonte Sánchez , Stéphane Mischler

We formulate a theory of transport in graphene bilayers in the weak momentum scattering regime in such a way as to take into account contributions to the electrical conductivity to leading and next-to-leading order in the scattering…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Dimitrie Culcer , R. Winkler

The nonlinear response is investigated for a space-fractional quantum mechanical system subject to a static electric field. Expressions for the polarizability and hyperpolarizability are derived from the fractional Schr\"{o}dinger equation…

Quantum Physics · Physics 2016-09-29 Nathan J. Dawson

The response to an electric field (DC and AC) of electronic systems in which the Fermi "surface" consists of a number of 3D Weyl points (such as some pyrochlore iridates) exhibits a peculiar combination of characteristics usually associated…

Strongly Correlated Electrons · Physics 2015-06-15 B. Rosenstein , M. Lewkowicz

We show that the three commonly employed approaches that define the same dc (or low-frequency) intrinsic linear anomalous Hall response actually lead to different results for intrinsic nonlinear transport. The difference is due to an…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Cong Xiao , Jin Cao , Qian Niu , Shengyuan A. Yang

We study the nonlinear interfacial thermal transport across atomic junctions by the quantum self-consistent mean field (QSCMF) theory based on nonequilibrium Green's function approach; the QSCMF theory we propose is very precise and matches…

Statistical Mechanics · Physics 2013-10-15 Lifa Zhang , Juzar Thingna , Dahai He , Jian-Sheng Wang , Baowen Li

An analytical expression for the current through a single level quantum dot for arbitrary strength of the on-site electron-electron interaction is derived beyond standard mean-field theory. By describing the localised states in terms of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Fransson

Some modal (or decoupled) transmission-line properties such as per-unit-length impedance, admittance, or characteristic impedance have long been held to be, in general, non-unique. This ambiguity arises from the nature of the similarity…

Classical Physics · Physics 2020-12-17 Stuart Barth , Ashwin K. Iyer

Motivated by the recent developments in terahertz spectroscopy using pump-probe setups to study correlated electronic materials, we review the field theoretical formalism to compute finite frequency nonlinear electro-optical responses in…

Strongly Correlated Electrons · Physics 2024-10-15 I. Paul