Symmetries and transport properties of an electronic quantum pump with biharmonic driving

Arrachea, Liliana

doi:10.1016/j.physb.2007.04.058

Cited by 5 publications

(4 citation statements)

References 26 publications

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“…For example, transport processes driven by biharmonic driving have been intensively studied in a variety of systems and in various regimes. We can quote: Hamiltonian systems [13], systems in the overdamped regime [12,14] and for moderate damping [15,16], dissipative quantum systems [17], electronic quantum pumps [18] and quantum control of exciton states [19], cold atoms in optical lattices [5,20,21], soliton physics [22] and driven Josephson junctions [23]. Here we intend to consider another aspect of transport in the system which consists of two coupled elements (subsystems).…”

Section: Introductionmentioning

confidence: 99%

Two coupled Josephson junctions: dc voltage controlled by biharmonic current

Machura¹,

Spiechowicz²,

Kostur³

et al. 2012

J. Phys.: Condens. Matter

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We study transport properties of two Josephson junctions coupled by an external shunt resistance. One of the junctions (say, the first) is driven by an unbiased ac current consisting of two harmonics. The device can rectify the ac current yielding a dc voltage across the first junction. For some values of coupling strength, controlled by an external shunt resistance, a dc voltage across the second junction can be generated. By variation of system parameters such as the relative phase or frequency of two harmonics, one can conveniently manipulate both voltages with high efficiency, e.g. changing the dc voltages across the first and second junctions from positive to negative values and vice versa.

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Section: Introductionmentioning

confidence: 99%

Two coupled Josephson junctions: dc voltage controlled by biharmonic current

Machura¹,

Spiechowicz²,

Kostur³

et al. 2012

J. Phys.: Condens. Matter

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show abstract

“…If we use the Fourier series, numerical solution of the area integral in the parameter space becomes extremely difficult 36 . In the Keldysh formalism 31,32 , the Green's function is difficult to be derived from the equation of motion with the square-wave time-dependent potential modulating the Hamiltonian. The problem is numerically solvable by our approach and the numerical efficiency is markedly improved .…”

Section: Theoretical Formulationmentioning

confidence: 99%

“…Recently, symmetries and transport properties of quantum pumps with biharmonic driving were investigated by several authors 31 . Keldysh non-equilibrium Green's function and the scattering-matrix method can be used to derive the pumped current in certain cases.…”

Section: Introductionmentioning

confidence: 99%

Multiharmonic fields driven adiabatic quantum pumps in nanowire structures

2011

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A dc current can be pumped through a nanostructure by two out-of-phase ac driving fields.In this approach, we explore the pumped current properties driven by square-wave, sawtoothwave, and triangle-wave ac fields in nanowire structures by Fourier expansion. The theory can be applied to arbitrary driving fields. It is found that the pumped current varies with the phase difference as square-wave and sawtooth-wave functions, respectively, under corresponding driven fields. The sinusoidal relation governs in the pump driven by triangle-wave oscillation. Devices based on square-wave driven quantum pumps may have potential applications in digital information at nanoscale dimensions.

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“…53. This relation has been used to formulate and efficiently solve the equations of motion for the Green's function for both charge and energy transport in ac-driven quantum systems 31,[54][55][56] , and was also very recently applied to a similar graphene setup as in the present study 57 . We emphasise that, in the formalism of the present paper, no assumptions need to be made about the periodicity of the bias voltage.…”

Section: Introductionmentioning

confidence: 99%

Time-dependent Landauer-Büttiker approach to charge pumping in ac-driven graphene nanoribbons

Ridley

Tuovinen

2017

Phys. Rev. B

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We apply the recently-developed partition-free time-dependent Landauer-Büttiker (TD-LB) formalism to the study of periodically-driven transport in graphene nanoribbons (GNR). When an AC driving is applied, this formalism can be used to prove generic conditions for the existence of a nonzero DC component of the net current (pump current) through the molecular device. Time-reversal symmetry breaking in the driving field is investigated and found to be insufficient for a non-zero pump current. We then derive explicit formulas for the current response to a particular biharmonic bias. We calculate the pump current through different GNR configurations and find that the sign and existence of a non-zero pump current can be tuned by simple alterations to the static parameters of the TD bias. Further, we investigate transient currents in different GNR configurations. We find a selection rule of even and odd harmonic response signal depending on a broken dynamical inversion symmetry in the bias. arXiv:1708.02826v2 [cond-mat.mes-hall]

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Symmetries and transport properties of an electronic quantum pump with biharmonic driving

Cited by 5 publications

References 26 publications

Two coupled Josephson junctions: dc voltage controlled by biharmonic current

Two coupled Josephson junctions: dc voltage controlled by biharmonic current

Multiharmonic fields driven adiabatic quantum pumps in nanowire structures

Time-dependent Landauer-Büttiker approach to charge pumping in ac-driven graphene nanoribbons

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