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

Romero, Javier I.; Roura‐Bas, P.; Aligia, A. A.; Arrachea, Liliana

doi:10.1103/physrevb.95.235117

Cited by 19 publications

(29 citation statements)

References 41 publications

(106 reference statements)

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“…Deviations from universality arise in non-Fermi liquid regimes [40][41][42][43], or for the low-temperature limit of an Anderson impurity, upon breaking the Kondo singlet by an applied magnetic field [44][45][46]. An effective RC circuit also plays a central role in the photon-charge interaction in novel quantum hybrid circuits [47][48][49][50][51][52] and in energy transfer [53,54].…”

Section: Deg Cavitymentioning

confidence: 99%

Interacting mesoscopic capacitor out of equilibrium

2017

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We consider the full nonequilibrium response of a mesoscopic capacitor in the large transparency limit, exactly solving a model with electron-electron interactions appropriate for a cavity in the quantum Hall regime. For a cavity coupled to the electron reservoir via an ideal point contact, we show that the response to any time-dependent gate voltage V g (t) is strictly linear in V g . We analyze the charge and current response to a sudden gate voltage shift and find that this response is not captured by a simple circuit analogy. In particular, in the limit of strong interactions a sudden change in the gate voltage leads to the emission of a sequence of multiple charge pulses, the width and separation of which are controlled by the charge-relaxation time τ c = hC g /e 2 and the time of flight τ f . We also consider the effect of a finite reflection amplitude in the point contact, which leads to nonlinear-in-gate-voltage corrections to the charge and current response.

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Section: Deg Cavitymentioning

confidence: 99%

Interacting mesoscopic capacitor out of equilibrium

2017

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“…For the description of the quantum dot dynamics in this regime we follow Refs. [31,47], where the quantum dot occupation is split into two contributions up to linear order inV g (t). The adiabatic evolution of the occupancy of the quantum dot is given by…”

Section: Adiabatic Dynamicsmentioning

confidence: 99%

“…Most of the studies on quantum RC circuits belong to the linear regime, with the nonlinear regime being investigated less. In particular, few studies have been reported in the interacting system beyond linear response [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

“…For an interacting quantum dot described by the Anderson impurity model, the fact that the instantaneous susceptibility satisfies the Korringa-Shiba law ensures the validity of the same universal instantaneous Joule law. When a magnetic field is included in this model for the interacting quantum dot, the Joule law is not satisfied separately for each spin channel, but it is satisfied by the effective resistance of the two spin channels considered in a parallel circuit configuration [31].…”

Section: Introductionmentioning

confidence: 99%

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Anomalous Joule law in the adiabatic dynamics of a quantum dot in contact with normal-metal and superconducting reservoirs

Arrachea

López

2018

Phys. Rev. B

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We formulate a general theory to study the time-dependent charge and energy transport of an adiabatically driven quantum dot in contact with normal and superconducting reservoirs at T = 0. This setup is a generalization of a quantum RC circuit, with capacitive components due to Andreev processes and induced pairing fluctuations, in addition to the conventional normal charge fluctuations. The dynamics for the dissipation of energy is ruled by a Joule law for four channels in parallel with the universal Büttiker resistance R 0 = e 2 /2h per channel. Two transport channels are associated with the two spin components of the usual charge fluctuations, while the other two are associated with electrons and holes due to pairing fluctuations. The latter leads to an "anomalous" component of the Joule law and takes place with a vanishing net current due to the opposite flows of electrons and holes.

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“…In some other works, this relation is used to deduce the electrical ac‐conductance from the calculation of noise without having to include ac‐voltage in the calculation, and constitutes a useful ingredient in the theoretical studies of electrical time‐dependent transport in quantum systems, which are fully accessible experimentally . In the last years, these theoretical studies have been extended to the heat and thermoelectrical ac‐transport in quantum systems but no direct connection has been established until now between the thermoelectrical trans‐admittance and the fluctuations mixing the electrical and heat currents in a quantum system.…”

Section: Introductionmentioning

confidence: 99%

Out‐of‐Equilibrium Fluctuation‐Dissipation Relations Verified by the Electrical and Thermoelectrical AC‐Conductances in a Quantum Dot

Crépieux

2017

Annalen der Physik

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The electrical and heat currents flowing through a quantum dot are calculated in the presence of a time-modulated gate voltage with the help of the out-of-equilibrium Green function technique. From the first harmonics of the currents, we extract the electrical and thermoelectrical trans-admittances and ac-conductances. Next, by a careful comparison of the ac-conductances with the finite-frequency electrical and mixed electrical-heat noises, we establish the fluctuation-dissipation relations linking these quantities, which are thus generalized out-of-equilibrium for a quantum system. It is shown that the electrical ac-conductance associated to the displacement current is directly linked to the electrical noise summed over reservoirs, whereas the relation between the thermoelectrical ac-conductance and the mixed noise contains an additional term proportional to the energy step that the electrons must overcome when traveling through the junction. A numerical study reveals however that a fluctuation-dissipation relation involving a single reservoir applies for both electrical and thermoelectrical ac-conductances when the frequency dominates over the other characteristic energies. 1600344 ( 1 of 9) www.advancedsciencenews.com www.ann-phys.org L R /[(ε − ε dc ) 2 + 2 ] is the transmission coefficient through the double barrier.

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

Cited by 19 publications

References 41 publications

Interacting mesoscopic capacitor out of equilibrium

Interacting mesoscopic capacitor out of equilibrium

Anomalous Joule law in the adiabatic dynamics of a quantum dot in contact with normal-metal and superconducting reservoirs

Out‐of‐Equilibrium Fluctuation‐Dissipation Relations Verified by the Electrical and Thermoelectrical AC‐Conductances in a Quantum Dot

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