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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Aronov I. E., Berman G. P., Campbell D. K., Dudiy S. V.
Заглавие : Wigner function description of ac transport through a two-dimensional quantum point contact
Разночтения заглавия :авие SCOPUS: Wigner function description of a.c. transport through a two-dimensional quantum point contact
Место публикации : J. Phys.: Condens. Matter: IOP PUBLISHING LTD, 1997. - Vol. 9, Is. 24. - P.5089-5103. - ISSN 0953-8984, DOI 10.1088/0953-8984/9/24/009
Примечания : Cited References: 45
Предметные рубрики: QUANTIZED CONDUCTANCE
BALLISTIC-RESISTANCE
CONSTRICTION
CAPACITANCE
ADMITTANCE
ELECTRONS
SYSTEMS
FIELD
PUMP
Аннотация: We have calculated the admittance of a two-dimensional quantum point contact (QPC) using a novel variant of the Wigner distribution function (WDF) formalism. In the semiclassical approximation, a Boltzmann-like equation is derived for the partial WDF describing both propagating and non-propagating electron modes in an effective potential generated by the adiabatic QPC. We show that this quantum kinetic approach leads to the well known stepwise behaviour of the real part of the admittance (the conductance), and of the imaginary part of the admittance (the emittance), in agreement with the latest results derived by Christen and Buttiker, which is determined by the number of propagating electron modes. It is shown that the emittance is sensitive to the geometry of the QPC, and can be controlled by the gate voltage. We have established that the emittance has contributions corresponding to both quantum inductance and quantum capacitance. Stepwise oscillations in the quantum inductance are determined by the harmonic mean of the velocities for the propagating modes, whereas the quantum capacitance is a significant mesoscopic manifestation of the nonpropagating (reflecting) modes.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Davlet-Kildeev K.
Заглавие : Electron transmission through an ac biased quantum point contact
Место публикации : Phys. Rev. B: AMER PHYSICAL SOC, 2007. - Vol. 75, Is. 23. - Ст.235309. - ISSN 1098-0121, DOI 10.1103/PhysRevB.75.235309
Примечания : Cited References: 41
Предметные рубрики: MULTIPROBE CONDUCTORS
BALLISTIC TRANSPORT
WIRES
GAS
CONSTRICTION
SCATTERING
TIME
QUANTIZATION
OSCILLATIONS
RESISTANCE
Аннотация: We consider a transmission through the potential relief created by a split gate constriction (quantum point contact). Simultaneously, dc and ac voltages V-up(t)=V-0+V-1 cos omega t and V-dw(t)=V-0+V-1 cos(omega t+theta) are applied to the gates. We show numerically that the in-phase ac voltages (theta=0) smear the conductance steps of the stationary conductance, while the antiphase ac voltages (theta=pi) only shift the conductance steps. Moreover, computation of currents in probing wires connected cross to the time-periodic quantum point contact reveals a net current for theta not equal 0,pi. This implies that the Schrodinger equation described by the electron transport under the effect of the time-periodic long electrodes is equivalent to the transmission in the crossed effective magnetic and electric fields, where the in-plane magnetic field b similar to theta is directed along the transport axis and the electric field e similar to omega is directed perpendicular to the plane of electron transport. Then the vector exb gives rise to the galvanomagnetic current directed cross to the electron transport.
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