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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Rotter I., Sadreev A. F.
Заглавие : Correlated behavior of conductance and phase rigidity in the transition from the weak-coupling to the strong-coupling regime
Место публикации : Phys. Rev. B: AMER PHYSICAL SOC, 2007. - Vol. 76, Is. 21. - Ст.214302. - ISSN 1098-0121, DOI 10.1103/PhysRevB.76.214302
Примечания : Cited References: 42
Предметные рубрики: OPEN QUANTUM-SYSTEMS
NUCLEAR CROSS-SECTIONS
UNIFIED THEORY
FLUCTUATIONS
CONTINUUM
BILLIARD
STATES
Аннотация: We study the transmission through different small systems as a function of the coupling strength v to the two attached leads. The leads are identical with only one propagating mode xi(E)(C) in each of them. In addition to the conductance G, we calculate the phase rigidity rho of the scattering wave function Psi(E)(C) in the interior of the system. Most interesting results are obtained in the regime of strongly overlapping resonance states where the crossover from staying to traveling modes takes place. The crossover is characterized by collective effects. Here, the conductance is plateaulike enhanced in some energy regions of finite length while corridors with zero transmission (total reflection) appear in other energy regions. This transmission picture depends only weakly on the spectrum of the closed system. It is caused by the alignment of some resonance states of the system with the propagating modes xi(E)(C) in the leads. The alignment of resonance states takes place stepwise by resonance trapping, i.e., it is accompanied by the decoupling of other resonance states from the continuum of propagating modes. This process is quantitatively described by the phase rigidity rho of the scattering wave function. Averaged over energy in the considered energy window, G is correlated with 1-rho . In the regime of strong coupling, only two short-lived resonance states survive each aligned with one of the channel wave functions xi(E)(C). They may be identified with traveling modes through the system. The remaining M-2 trapped narrow resonance states are well separated from one another.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Bulgakov E. N., Rotter I.
Заглавие : Trapping of an electron in the transmission through two quantum dots coupled by a wire
Место публикации : JETP Letters. - 2005. - Vol. 82, Is. 8. - P.498-503. - ISSN 0021-3640, DOI 10.1134/1.2150869
Примечания : Cited References: 32
Предметные рубрики: NUCLEAR REACTIONS
CIRCULAR BENDS
UNIFIED THEORY
WAVE-GUIDES
S-MATRIX
STATES
BILLIARD
SYSTEMS
Аннотация: We consider single-channel transmission through a double quantum dot that consists of two identical single dots coupled by a wire. The numerical solution for the scattering wave function shows that the resonance width of a few of the states may vanish when the width (or length) of the wire and the energy of the incident particle each take a certain value. In such a case, a particle is trapped inside the wire as the numerical visualization of the scattering wave function shows. To understand these numerical results, we explore a simple model with a small number of states, which allows us to consider the problem analytically. If the eigenenergies of the closed system cross the energies of the transmission zeroes, the wire effectively decouples from the rest of the system and traps the particle. (C) 2005 Pleiades Publishing, Inc.
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