Violation of Onsager symmetry for a ballistic channel Coulomb coupled to a quantum ring

Szafran, B.; Poniedziałek, M. R.; Peeters, F. M.

doi:10.1209/0295-5075/87/47002

Cited by 8 publications

(6 citation statements)

References 24 publications

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“…An appearance of the magnetic asymmetry of the single electron transfer probability was previously discussed in an bent quantum wire 25 or a cavity 26 asymmetrically connected to terminals. Both papers 25,26 used a time dependent wave-packet approaches and indicated that the asymmetry of the transfer probability arises when the channel electron interacts with the surrounding environment. The present study of the role of the inelastic scattering requires a discussion of the incoming electron of a definite energy rather than the wave packet dynamics.…”

Section: Introductionmentioning

confidence: 83%

Carrier-carrier inelastic scattering events for spatially separated electrons: Magnetic asymmetry and turnstile electron transfer

Poniedziałek

Szafran

2012

Phys. Rev. B

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We consider a single electron traveling along a strictly one-dimensional quantum wire interacting with another electron in a quantum ring capacitively coupled to the wire. We develop an exact numerical method for treating the scattering problem within the stationary two-electron wave function picture. The considered process conserves the total energy but the electron within the wire passes a part of its energy to the ring. We demonstrate that the inelastic scattering results in both magnetic asymmetry of the transfer probability and a turnstile action of the ring on the electrons traveling separately along the ring. We demonstrate that the inelastic backscattering and / or inelastic electron transfer can be selectively eliminated from the process by inclusion of an energy filter into the wire in form of a double barrier system with the resonant energy level tuned to the energy of the incident electron. We demonstrate that the magnetic symmetry is restored when the inelastic backscattering is switched off, and the turnstile character of the ring is removed when the energy transfer to the ring is excluded for both transferred and backscattered electron waves. We discuss the relation of the present results to the conductance systems based on the electron gas.

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Section: Introductionmentioning

confidence: 83%

Carrier-carrier inelastic scattering events for spatially separated electrons: Magnetic asymmetry and turnstile electron transfer

Poniedziałek

Szafran

2012

Phys. Rev. B

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“…Recently, this magnetoasymmetry effect has been theoretically demonstrated [10][11][12][13][14][15][16][17][18][19][20][21] and experimentally verified. [22][23][24][25][26][27][28][29][30] Magnetoasymmetries arise because the charge response of the system is, generally, not symmetric when the field orientation is inverted.…”

Section: Introductionmentioning

confidence: 84%

“…Away from linear response, the principle of microscopic reversibility is, generally, not satisfied and, as a consequence, the two-terminal current, which consists of lin-ear as well as nonlinear coefficients, is not a symmetric function of B. Recently, this magnetoasymmetry effect has been theoretically demonstrated [10][11][12][13][14][15][16][17][18][19][20][21] and experimentally verified [22][23][24][25][26][27][28][29][30] . Magnetoasymmetries arise because the charge response of the system is, generally, not symmetric when the field orientation is inverted.…”

Section: Introductionmentioning

confidence: 99%

Magnetoasymmetric transport in a mesoscopic interferometer: From the weak to the strong coupling regime

2010

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The microreversibility principle implies that the conductance of a two-terminal Aharonov-Bohm interferometer is an even function of the applied magnetic flux. Away from linear response, however, this symmetry is not fulfilled and the conductance phase of the interferometer when a quantum dot is inserted in one of its arms can be a continuous function of the bias voltage. Such magnetoasymmetries have been investigated in related mesoscopic systems and arise as a consequence of the asymetric response of the internal potential of the conductor out of equilibrium. Here we discuss magnetoasymmetries in quantum-dot Aharonov-Bohm interferometers when strong electron-electron interactions are taken into account beyond the mean-field approach. We find that at very low temperatures the asymmetric element of the differential conductance shows an abrupt change for voltages around the Fermi level. At higher temperatures we recover a smooth variation of the magnetoasymmetry as a function of the bias. We illustrate our results with the aid of the electron occupation at the dot, demonstrating that its nonequilibrium component is an asymmetric function of the flux even to lowest order in voltage. We also calculate the magnetoasymmetry of the current-current correlations ͑the noise͒ and find that it is given, to a good extent, by the magnetoasymmetry of the weakly nonlinear conductance term. Therefore, both magnetoasymmetries ͑noise and conductance͒ are related to each other via a higher-order fluctuation-dissipation relation. This result appears to be true even in the low-temperature regime, where Kondo physics and many-body effects dominate the transport properties.

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“…Here, the analytic solution of the continuous Schrödinger equation and the Wigner time delay as a quantitative measure of the wave packet dynamics is presented. Closely related subjects are the violation of Onsager's (magnetic field) symmetry in wave packet transport 10,11 and the optical effect called directional birefringence, which features a velocity that depends on the direction of propagation 12 .…”

Section: Non-reciprocity Of the Wigner Time Delaymentioning

confidence: 99%

Nonreciprocity of the wave-packet scattering delay in ballistic two-terminal devices

Bredol

2021

Phys. Rev. B

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In the linear regime, transport properties of ballistic two-terminal devices are generally considered to be independent of the direction of the current. This two-terminal reciprocity applies to both the electron transmission and reflection probabilities. However, it does not apply to the Wigner time delay. Indeed, four different time delays describe the transmission and reflection processes from both sides, respectively. Unlike the probabilities, these delays are direction dependent if the channel exchange symmetry of the scattering matrix is broken.

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Violation of Onsager symmetry for a ballistic channel Coulomb coupled to a quantum ring

Cited by 8 publications

References 24 publications

Carrier-carrier inelastic scattering events for spatially separated electrons: Magnetic asymmetry and turnstile electron transfer

Carrier-carrier inelastic scattering events for spatially separated electrons: Magnetic asymmetry and turnstile electron transfer

Magnetoasymmetric transport in a mesoscopic interferometer: From the weak to the strong coupling regime

Nonreciprocity of the wave-packet scattering delay in ballistic two-terminal devices

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