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Related papers: Landauer-like formula for dissipative tunneling

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We develop a new numerical method to calculate the Landauer conductance through an interacting electron system in the first order perturbation or in the self-consistent Hartree-Fock approximation. It is applied to one and two dimensional…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Asada

Dissipative quantum tunnelling through an inverted parabolic barrier is considered in the presence of an electric field. A Schr\"odinger-Langevin or Kostin quantum classical transition wave equation is used and applied resulting in a scaled…

Quantum Physics · Physics 2018-10-03 S. V. Mousavi , S. Miret-Artés

We investigate the phononic energy transport properties of mesoscopic, suspended dielectric wires. The Landauer formula for the thermal conductance is derived and its universal aspects discussed. We then determine the variance of the energy…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. P. Blencowe

The Landauer formula for quantum conductance, based on the modern paradigm: "conduction is transmission", is generalized to samples of macroscopic size. Two regimes of electrical conduction, namely diffusive and ballistic ones, are studied.…

Condensed Matter · Physics 2007-05-23 P. R. Silva , Marcos Sampaio , C. Nassif , M. C. Nemes

In samples used to maintain the US resistance standard the breakdown of the dissipationless integer quantum Hall effect occurs as a series of dissipative voltage steps. A mechanism for this type of breakdown is proposed, based on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. M. Martin , K. A. Benedict , F. W. Sheard , L. Eaves

The linear conductance of the a small metallic tunnel junction embedded in an electromagnetic environment of arbitrary impedance is determined in the semiclassical limit. Electron tunneling is treated beyond the orthodox theory of Coulomb…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Georg Goeppert , Hermann Grabert

At sufficiently low temperatures, the reaction rates in solids are controlled by quantum rather than by thermal fluctuations. We solve the Schr\"odinger equation for a Gaussian wave packet in a nonstation-ary harmonic oscillator and derive…

We discuss activated escape from a metastable state of a system driven by a time-periodic force. We show that the escape probabilities can be changed very strongly even by a comparatively weak force. In a broad parameter range, the…

Statistical Mechanics · Physics 2009-11-07 M. I. Dykman , B. Golding , L. I. McCann , V. N. Smelyanskiy , D. G. Luchinsky , R. Mannella , P. V. E. McClintock

We address the Kramers escape problem for Brownian particles in bistable substrates with deformable double-well shapes. The shape deformability is considered of three distinct forms: in one, the positions of the two degenerate minima can be…

Biological Physics · Physics 2025-10-27 Alain M. Dikande

In this paper we show an approach to electron transport in double barrier structures which unifies the well known sequential and resonant tunneling models in the widest range of transport regimes, from completely coherent to completely…

Condensed Matter · Physics 2009-10-28 Giuseppe Iannaccone , Bruno Pellegrini

We introduce an asymmetric classical Ginzburg-Landau model in a bounded interval, and study its dynamical behavior when perturbed by weak spatiotemporal noise. The Kramers escape rate from a locally stable state is computed as a function of…

Statistical Mechanics · Physics 2009-11-10 D. L. Stein

The traversal time for tunneling is a measure of the time during which the transmitted particle can be affected by interactions localized in the barrier. The Buttiker-Landauer approach, which estimates this time by imposing an internal…

Condensed Matter · Physics 2009-11-07 Michael Galperin , Abraham Nitzan , Uri Peskin

The tunneling probability for a system modelling macroscopic quantum tunneling is computed. We consider an open quantum system with one degree of freedom consisting of a particle trapped in a cubic potential interacting with an environment…

Quantum Physics · Physics 2007-05-23 Esteban Calzetta , Enric Verdaguer

The Landauer limit is to irreversible logic what the Carnot cycle is to heat engines. This limit is approached in the adiabatic Quantum Flux Parametron (aQFP) by copying the inputs of standard logic gates to produce reversible logic gates,…

Applied Physics · Physics 2025-04-08 Quentin Herr

We calculate the Landauer conductance through chaotic ballistic devices in the semiclassical limit, to all orders in the inverse number of scattering channels without and with a magnetic field. Families of pairs of entrance-to-exit…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Stefan Heusler , Sebastian Müller , Petr Braun , Fritz Haake

Time-dependent density functional theory is extended to include dissipative systems evolving under a master equation, providing a Hamiltonian treatment for molecular electronics. For weak electric fields, the isothermal conductivity is…

Materials Science · Physics 2007-05-23 Kieron Burke , Roberto Car , Ralph Gebauer

The rate of noise-induced escape from a metastable state of a periodically modulated overdamped system is found for an arbitrary modulation amplitude $A$. The instantaneous escape rate displays peaks that vary with the modulation from…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. I. Dykman , D. Ryvkine

This paper focuses on the escape problem of a harmonically-forced classical particle from a purely-quartic truncated potential well. The latter corresponds to various engineering systems that involve purely cubic restoring force and absence…

Chaotic Dynamics · Physics 2021-05-20 Maor Farid

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

Kramer's theory of activation over a potential barrier consists in computing the mean exit time from the boundary of a basin of attraction of a randomly perturbed dynamical system. Here we report that for some systems, crossing the boundary…

Statistical Mechanics · Physics 2021-05-19 Lou Zonca , David Holcman