Conductance of a disordered linear chain including inelastic scattering events

D’Amato, Jorge L.; Pastawski, Horacio M.

doi:10.1103/physrevb.41.7411

Cited by 294 publications

(252 citation statements)

References 40 publications

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“…This approach has been widely used to investigate the effect of dephasing on conductance. We refer the reader here only to a few early works [125,47,126,127]. In this subsection we illustrate the application of these ideas to noise.…”

Section: G Inelastic Scattering Phase Breakingmentioning

confidence: 99%

Shot noise in mesoscopic conductors

2000

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Theoretical and experimental work concerned with dynamic fluctuations has developed into a very active and fascinating subfield of mesoscopic physics. We present a review of this development focusing on shot noise in small electric conductors. Shot noise is a consequence of the quantization of charge. It can be used to obtain information on a system which is not available through conductance measurements. In particular, shot noise experiments can determine the charge and statistics of the quasiparticles relevant for transport, and reveal information on the potential profile and internal energy scales of mesoscopic systems. Shot noise is generally more sensitive to the effects of electron-electron interactions than the average conductance. We present a discussion based on the conceptually transparent scattering approach and on the classical Langevin and BoltzmannLangevin methods; in addition a discussion of results which cannot be obtained by these methods is provided. We conclude the review by pointing out a number of unsolved problems and an outlook on the likely future development of the field.

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Section: G Inelastic Scattering Phase Breakingmentioning

confidence: 99%

Shot noise in mesoscopic conductors

2000

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“…Solving the equations (2), (3) one arrives at the following expression for the electron transmission [36]:…”

Section: Model and Resultsmentioning

confidence: 99%

Scattering theory of thermocurrent in quantum dots and molecules

Zimbovskaya

2015

Physica E: Low-dimensional Systems and Nanostructures

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In this work we theoretically study properties of electric current driven by a temperature gradient through a quantum dot/molecule coupled to the source and drain charge reservoirs. We analyze the effect of Coulomb interactions between electrons on the dot/molecule and of thermal phonons associated with the electrodes thermal environment on the thermocurrent. The scattering matrix formalism is employed to compute electron transmission through the system. This approach is further developed and combined with nonequilibrium Green's functions formalism, so that scattering probabilities are expressed in terms of relevant energies including the thermal energy, strengths of coupling between the dot/molecule and charge reservoirs and characteristic energies of electronphonon interactions in the electrodes. It is shown that one may bring the considered system into regime favorable for heat-to-electric energy conversion by varying the applied bias and gate voltages.

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“…We have shown that the voltage profile displays Friedel-like oscillations, as in the case of non-interacting electrons 10,11,13 , but modulated by an envelope displaying a power law behavior as a function of the applied voltage or temperature, with an exponent depending on the electron-electron interaction strength. However, it is known that in the opposite limit of strong enough coupling between the mesoscopic device and the probes, inelastic scattering events and classical resistive behavior take place 27 . Moreover, ideal non-invasive probes cannot be easily realized in experimental situations.…”

Section: Introductionmentioning

confidence: 99%

Electron-spin motion: a new tool to study ferromagnetic films and surfaces

Dey

Weber²

2011

J. Phys.: Condens. Matter

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We analyze the behavior of the four-terminal resistance, relative to the two-terminal resistance of an interacting quantum wire with an impurity, taking into account the invasiveness of the voltage probes. We consider a one-dimensional Luttinger model of spinless fermions for the wire. We treat the coupling to the voltage probes perturbatively, within the framework of non-equilibrium Green function techniques. Our investigation unveils the combined effect of impurities, electron-electron interactions and invasiveness of the probes on the possible occurrence of negative resistance.

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Conductance of a disordered linear chain including inelastic scattering events

Cited by 294 publications

References 40 publications

Shot noise in mesoscopic conductors

Shot noise in mesoscopic conductors

Scattering theory of thermocurrent in quantum dots and molecules

Electron-spin motion: a new tool to study ferromagnetic films and surfaces

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