Giant Charge Relaxation Resistance in the Anderson Model

Filippone, Michele; Hur, Karyn Le; Mora, Christophe

doi:10.1103/physrevlett.107.176601

Cited by 49 publications

(92 citation statements)

References 42 publications

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“…The latter type of interactions may, however, affect other more quantitative features such as the behavior of the instantaneous Joule law analyzed in Sec. VI C, since an electron-electron interaction is shown to affect the charge relaxation resistance R q at finite temperatures [52], for large cavities [53], and at finite magnetic fields [54]. Our results thus represent a significant advance toward a full understanding of dissipation and dynamics in quantum electron systems and might have important implications for nanoelectronics and quantum thermodynamics.…”

Section: Discussionmentioning

confidence: 90%

Dynamics of energy transport and entropy production in ac-driven quantum electron systems

et al. 2016

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We analyze the time-resolved energy transport and the entropy production in ac-driven quantum coherent electron systems coupled to multiple reservoirs at finite temperature. At slow driving, we formulate the first and second laws of thermodynamics valid at each instant of time. We identify heat fluxes flowing through the different pieces of the device and emphasize the importance of the energy stored in the contact and central regions for the second law of thermodynamics to be instantaneously satisfied. In addition, we discuss conservative and dissipative contributions to the heat flux and to the entropy production as a function of time. We illustrate these ideas with a simple model corresponding to a driven level coupled to two reservoirs with different chemical potentials.

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Section: Discussionmentioning

confidence: 90%

Dynamics of energy transport and entropy production in ac-driven quantum electron systems

et al. 2016

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“…This is the case, for instance, when the quantum-dot dynamics is dominated by the quantum charge-relaxation effect [26] evidenced in rf conductance measurements. This rich phenomenology [27][28][29][30] can be explored with our setup.…”

Section: Measuring the Quantum-dot Impedancementioning

confidence: 99%

Sensitive Radio-Frequency Measurements of a Quantum Dot by Tuning to Perfect Impedance Matching

et al. 2016

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Electrical readout of spin qubits requires fast and sensitive measurements, which are hindered by poor impedance matching to the device. We demonstrate perfect impedance matching in a radio-frequency readout circuit, using voltage-tunable varactors to cancel out parasitic capacitances. An optimized capacitance sensitivity of 1.6 aF= ffiffiffiffiffiffi Hz p is achieved at a maximum source-drain bias of 170-μV rootmean-square and with a bandwidth of 18 MHz. Coulomb blockade in a quantum-dot is measured in both conductance and capacitance, and the two contributions are found to be proportional as expected from a quasistatic tunneling model. We benchmark our results against the requirements for single-shot qubit readout using quantum capacitance, a goal that has so far been elusive.

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“…[7][8][9][10][11] Here, we show that the Korringa-Shiba law Eq. (19) is equivalent to the instantaneous Joule law Eq.…”

Section: Interacting Electrons a Exact Resultsmentioning

confidence: 99%

“…In the interacting case, it is a nontrivial result, which was originally proved by Shiba in the Anderson model 26 and later generalized by Fillipone et al when a magnetic field is also considered. 10,11 It reads…”

Section: Interacting Electrons a Exact Resultsmentioning

confidence: 99%

“…The universality of this resistance remains robust in the low frequency regime upon adding electronelectron interactions in the quantum dot provided that the system behaves as a Fermi liquid (FL). [7][8][9][10][11] While in some experiments the driving amplitudes were within the range of linear response theory, 1 further experimental 2,3 and theoretical [12][13][14][15] contributions focused on quantum capacitors as single-electron sources, implying large amplitudes. In Ref.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear charge and energy dynamics of an adiabatically driven interacting quantum dot

et al. 2017

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We formulate a general theory to study the time-dependent charge and energy transport of an adiabatically driven interacting quantum dot in contact to a reservoir for arbitrary amplitudes of the driving potential. We study within this framework the Anderson impurity model with a local ac gate voltage. We show that the exact adiabatic quantum dynamics of this system is fully determined by the behavior of the charge susceptibility of the frozen problem. At T = 0, we evaluate the dynamic response functions with the numerical renormalization group (NRG). The time-resolved heat production exhibits a pronounced feature described by an instantaneous Joule law characterized by an universal resistance quantum R 0 = h/(2e 2 ) for each spin channel. We show that this law holds in non-interacting as well as in the interacting system and also when the system is spin-polarized. In addition, in the presence of a static magnetic field, the interplay between many-body interactions and spin polarization leads to a non-trivial energy exchange between electrons with different spin components.

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Giant Charge Relaxation Resistance in the Anderson Model

Cited by 49 publications

References 42 publications

Dynamics of energy transport and entropy production in ac-driven quantum electron systems

Dynamics of energy transport and entropy production in ac-driven quantum electron systems

Sensitive Radio-Frequency Measurements of a Quantum Dot by Tuning to Perfect Impedance Matching

Nonlinear charge and energy dynamics of an adiabatically driven interacting quantum dot

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