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We propose a phenomenological model of dephasing in mesoscopic transport, based on the introduction of random phase fluctuations in the computation of the scattering matrix of the system. A Monte Carlo averaging procedure allows us to…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Marco G. Pala , Giuseppe Iannaccone

We study electron transport in a normal-metal ring modeled by the tight binding lattice Hamiltonian, coupled to two electron reservoirs. First, Buttiker's model of incorporating inelastic scattering, hence decoherence and dissipation, has…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dibyendu Roy

Inelastic scattering induces dephasing in mesoscopic systems. An analysis of previous models to simulate inelastic scattering in such systems is presented and also a relatively new model based on wave attenuation is introduced. The problem…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. M. Jayannavar , Colin Benjamin

The Aharonov-Bohm ring has been the mainstay of mesoscopic physics research since its inception. In this paper we have dwelt on the problem of dephasing of AB oscillations using a phenomenological model based on stochastic absorption. To…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Colin Benjamin , A. M. Jayannavar

We present a detailed analysis of the Aharonov-Bohm interference oscillations manifested through transmission of an electron in a mesoscopic ring with a magnetic impurity atom inserted in one of its arms. The electron interacts with the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar

A dephasing model in the spirit of Buttiker's fictitious probe model where infinite probes are distributed uniformly over the conductor is proposed. The dephasing rate enters into the model as an adjustable parameter and to compute the…

Mesoscale and Nanoscale Physics · Physics 2008-12-31 S. Senozan , S. Turgut , M. Tomak

The probe technique is a simple mean to incorporate elastic and inelastic processes into quantum dynamics. Using numerical simulations, we demonstrate that this tool can be employed beyond the analytically tractable linear response regime,…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Salil Bedkihal , Malay Bandyopadhyay , Dvira Segal

We extend the Landauer-B\"uttiker probe formalism for conductances to the high bias regime, and study the effects of environmentally-induced elastic and inelastic scattering on charge current in single molecule junctions, focusing on…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Michael Kilgour , Dvira Segal

We develop a non-perturbative numerical method to study tunneling of a single electron through an Aharonov-Bohm ring where several strongly interacting electrons are bound. Inelastic processes and spin-flip scattering are taken into…

Strongly Correlated Electrons · Physics 2016-08-31 R. Zitko , J. Bonca

We compare two different models of transport of light in a disordered system with a spherical Gaussian distribution of scatterers. A coupled dipole model, keeping into account all interference effects, is compared to an incoherent model,…

We compare two widely used models for dephasing in a chaotic quantum dot: The introduction of a fictitious voltage probe into the scattering matrix and the addition of an imaginary potential to the Hamiltonian. We identify the limit in…

Condensed Matter · Physics 2008-02-03 P. W. Brouwer , C. W. J. Beenakker

We present a detailed analysis of the Aharonov-Bohm (AB) interference oscillations manifested through transmission of an electron in a mesoscopic ring with a magnetic impurity atom inserted in one of its arms. The spin polarization…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar

We propose a nonlinear sigma model for the description of quantum transport in a mesoscopic metallic conductor with magnetic impurities frozen in a spin glass phase. It accounts for the presence of both the corresponding scalar and magnetic…

Disordered Systems and Neural Networks · Physics 2015-05-13 Andrei A. Fedorenko , David Carpentier

We study a simple model of dephasing of Aharonov-Bohm oscillations in the transmission of an electron across a mesoscopic ring. A magnetic impurity in one of the arms of the ring couples to the electron spin via an exchange interaction.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar

We use the Kubo-Landauer formalism to compute the longitudinal (two-terminal) conductance of a two dimensional electron system placed in a strong perpendicular magnetic field, and subjected to periodic modulations and/or disorder…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Chenggang Zhou , Mona Berciu

We study the single particle scattering process in a coherent multi-site system consisting of a tight-binding ring threaded by an Aharonov-Bohm flux and several attaching leads. The asymmetric behavior of scattering matrix is discovered…

Quantum Physics · Physics 2009-12-03 S. Yang , Z. Song , C. P. Sun

Pumping of charge in phase-coherent mesoscopic systems due to the out-of-phase modulation of two parameters has recently found considerable interest. We investigate the effect of inelastic processes on the adiabatically pumped current…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Moskalets , M. Buttiker

A simple model coupling a one-dimensional beam particle to a one-dimensional harmonic oscillator is used to explore complementarity and entanglement. This model, well-known in the inelastic scattering literature, is presented under three…

Quantum Physics · Physics 2023-09-26 David Kordahl

We present theoretical results for the backaction force noise and damping of a mechanical oscillator whose position is measured by a mesoscopic conductor. Our scattering approach is applicable to a wide class of systems; in particular, it…

Mesoscale and Nanoscale Physics · Physics 2011-05-10 Steven D. Bennett , Jesse Maassen , Aashish A. Clerk

L\"uscher has suggested a method to determine phase shifts from the finite volume dependence of the two-particle energy spectrum. We apply this to two models in d=2: (a) the Ising model, (b) a system of two Ising fields with different mass…

High Energy Physics - Lattice · Physics 2009-10-22 C. R. Gattringer , I. Hip , C. B. Lang
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