<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-Particle Scattering Matrix for Electrons Interacting on a Quantum Dot

Lebedev, A. V.; Lesovik, G. B.; Blatter, G.

doi:10.1103/physrevlett.100.226805

Cited by 14 publications

(16 citation statements)

References 28 publications

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“…In this case, the scattering matrix can be found either exactly [164] or by using the perturbation theory [165]. In this case, the scattering matrix can be found either exactly [164] or by using the perturbation theory [165].…”

Section: Description Of the Full Counting Statistics In The Presence mentioning

confidence: 99%

Scattering matrix approach to the description of quantum electron transport

2011

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We consider the scattering matrix approach to quantum electron transport in meso-and nanoconductors. This approach is an alternative to the more conventional kinetic equation and Green's function approaches, and is often more efficient for coherent conductors (especially when proving general relations) and typically more transparent. We provide a description of both time-averaged quantities (for example, current±voltage characteristics) and current fluctuations in time Ð noise, as well as full counting statistics of

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Section: Description Of the Full Counting Statistics In The Presence mentioning

confidence: 99%

Scattering matrix approach to the description of quantum electron transport

2011

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“…However, the periodic boundary conditions imposed on the Bethe state are clearly different from the conditions adopted for the Landauer formula, the conditions that the incident electrons are asymptotically free. Recently, there have been a few attempts to study the transport properties with a scattering state in the framework of the LippmannSchwinger (LS) equation [15,16]. Our scattering state is shown a solution of the LS equation…”

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confidence: 98%

Exact Scattering Eigenstates, Many-Body Bound States, and Nonequilibrium Current in an Open Quantum Dot System

2009

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We obtain an exact many-body scattering eigenstate in an open quantum dot system. The scattering state is not in the form of the Bethe eigenstate in the sense that the wave-number set of the incoming plane wave is not conserved during the scattering and many-body bound states appear. By using the scattering state, we study the average nonequilibrium current through the quantum dot under a finite bias voltage. The current-voltage characteristics that we obtained by taking the two-body bound state into account is qualitatively similar to several known results.

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“…In Ref. [30], the N -electron scattering matrix for another QD system with interactions was explicitly constructed in a real-time representation, where two-electron scattering eigenstates are obtained in an integral form. We speculate that, by evaluating the integral form, two-body bound states similar to ours should appear.…”

Section: B Two-electron Casesmentioning

confidence: 99%

Universal electric current of interacting resonant-level models with asymmetric interactions: An extension of the Landauer formula

2015

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We study the electron transport in open quantum-dot systems described by the interacting resonant-level models with Coulomb interactions. We consider the situation in which the quantum dot is connected to the left and right leads asymmetrically. We exactly construct many-electron scattering eigenstates for the two-lead system, where two-body bound states appear as a consequence of one-body resonances and the Coulomb interactions. By using an extension of the Landauer formula, we calculate the average electric current for the system under bias voltages in the first order of the interaction parameters. Through a renormalization-group technique, we arrive at the universal electric current, where we observe the suppression of the electric current for large bias voltages, i.e., negative differential conductance. We find that the suppressed electric current is restored by the asymmetry of the system parameters.

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N-Particle Scattering Matrix for Electrons Interacting on a Quantum Dot

Cited by 14 publications

References 28 publications

Scattering matrix approach to the description of quantum electron transport

Scattering matrix approach to the description of quantum electron transport

Exact Scattering Eigenstates, Many-Body Bound States, and Nonequilibrium Current in an Open Quantum Dot System

Universal electric current of interacting resonant-level models with asymmetric interactions: An extension of the Landauer formula

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