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We calculate the tunnelling current through a Fabry-P\'{e}rot interferometer in the fractional quantum Hall regime. Within linear response theory (weak tunnelling but arbitrary source-drain voltage) we find a general expression for the…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Olaf Smits , Steven H. Simon , J. K. Slingerland

Using non-equilibrium Green's functions, we derive a formula for the electron current through a lead-molecule-lead nanojunction where the interactions are not restricted to the central region, but are spread throughout the system, including…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 H. Ness , L. K. Dash

This work addresses linear transport in turbulent media, with emphasis on neutral particle (atoms, molecules) transport in magnetized fusion plasmas. A stochastic model for turbulent plasmas, based upon a multivariate Gamma distribution, is…

We present an extension of the work of D'Amato and Pastawski on electron transport in a one-dimensional conductor modeled by the tight binding lattice Hamiltonian and in which inelastic scattering is incorporated by connecting each site of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Dibyendu Roy , Abhishek Dhar

In this paper, we provide a rigorous quantum mechanical derivation for the coherent photon transport characteristics of a two-level atom coupled to a waveguide without linearizing the coupling coefficient between the light and the atom. We…

Optics · Physics 2018-08-15 Fatih Dinç , İlke Ercan

We present a formalism that accounts for the evolution of quantum states of travelling light pulses incident on and emanating from a local quantum scatterer such as an atom or a cavity. We assume non-dispersive asymptotic propagation of the…

Quantum Physics · Physics 2019-09-25 Alexander Holm Kiilerich , Klaus Mølmer

A transport methodology to study the electron transport between quantum dots arrays based in Transfer Hamiltonian approach is presented. The interactions between the quantum dots and between the quantum dots and the electrodes are…

Mesoscale and Nanoscale Physics · Physics 2012-05-10 S. Illera , N. Garcia-Castello , J. D. Prades , A. Cirera

The surface current method known in the theory of electromagnetic waves diffraction is generalized to be applied for the problems of diffraction radiation generated by a charged particle moving nearby an ideally-conducting screen in vacuum.…

Accelerator Physics · Physics 2009-11-05 D. V. Karlovets , A. P. Potylitsyn

We consider transport diffusion in a stochastic billiard in a random tube which is elongated in the direction of the first coordinate (the tube axis). Inside the random tube, which is stationary and ergodic, non-interacting particles move…

Probability · Mathematics 2012-01-31 Francis Comets , Serguei Popov , Gunter M. Schütz , Marina Vachkovskaia

We theoretically study the electrical transport properties of a single level quantum dot connected to two normal conducting leads, which is coupled to the lattice vibrations. We determine the current through the quantum dot in two different…

Mesoscale and Nanoscale Physics · Physics 2020-09-01 Levente Máthé , Ioan Grosu

We describe linear and nonlinear transport across a single impurity Anderson model quantum dot with intermediate coupling to the leads, i.e., with tunnel coupling of the order of the thermal energy k_B T. The coupling is large enough that…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Johannes Kern , Milena Grifoni

The electric current conservation in a two-dimensional quantum wire under a time dependent field is investigated. Such a conservation is obtained as the global density of states contribution to the emittance is balanced by the contribution…

Condensed Matter · Physics 2009-10-28 J. Wang , Q. R. Zheng , H. Guo

Results are presented for the quench dynamics of a clean and interacting electron system, where the quench involves varying the strength of the attractive interaction along arbitrary quench trajectories. The initial state before the quench…

Superconductivity · Physics 2019-09-04 Yonah Lemonik , Aditi Mitra

We investigate the nonstationary electronic transport in noninteracting nanostructures driven by a finite bias and time-dependent signals applied at their contacts to the leads. The systems are modelled by a tight-binding Hamiltonian and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Valeriu Moldoveanu , Vidar Gudmundsson , Andrei Manolescu

We investigate the subtle effects of diffuse charge on interfacial kinetics by solving the governing equations for ion transport (Nernst-Planck) with realistic boundary conditions representing reaction kinetics (Butler-Volmer) and…

Soft Condensed Matter · Physics 2007-05-23 A. Bonnefont , F. Argoul , M. Z. Bazant

The diagrammatic formalism and transport equation are conventionally considered as separate but complementary techniques to tackle the impurity scattering effect. To compare with the previous studies from the gauge-invariant kinetic…

Superconductivity · Physics 2022-10-25 F. Yang , M. W. Wu

Conventional scattering theory is incomplete in that it does not adequately describe the behaviour of the wave function at macroscopic distances from the scattering reaction volume. In scattering experiments particles are incident from…

Quantum Physics · Physics 2021-10-05 John S. Briggs , James M. Feagin

We consider an ideal parabolic quantum wire in a perpendicular magnetic field. A simple Gaussian shaped scattering potential well or hill is flashed softly on and off with its maximum at $t=0$, mimicking a temporary broadening or narrowing…

Mesoscale and Nanoscale Physics · Physics 2008-07-29 Vidar Gudmundsson , Gunnar Thorgilsson , Chi-Shung Tang , Valeriu Moldoveanu

In the independent electron approximation, the average (energy/charge/entropy) current flowing through a finite sample S connected to two electronic reservoirs can be computed by scattering theoretic arguments which lead to the famous…

Spectral Theory · Mathematics 2015-06-11 Laurent Bruneau , Vojkan Jaksic , Yoram Last , Claude-Alain Pillet

Gas permeation through nanoscale pores is ubiquitous in nature and plays an important role in a plethora of technologies. Because the pore size is typically smaller than the mean free path of gas molecules, their flow is conventionally…

Mesoscale and Nanoscale Physics · Physics 2018-06-25 A. Keerthi , A. K. Geim , A. Janardanan , A. P. Rooney , A. Esfandiar , S. Hu , S. A. Dar , I. V. Grigorieva , S. J. Haigh , F. C. Wang , B. Radha