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Bulgakov, E. N.
Correlated behavior of conductance and phase rigidity in the transition from the weak-coupling to the strong-coupling regime / E. N. Bulgakov, I. . Rotter, A. F. Sadreev // Phys. Rev. B. - 2007. - Vol. 76, Is. 21. - Ст. 214302, DOI 10.1103/PhysRevB.76.214302. - Cited References: 42 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
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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Держатели документа:
[Bulgakov, E. N.
Rotter, I.
Sadreev, A. F.] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
[Bulgakov, E. N.
Sadreev, A. F.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Rotter, I.; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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Sadreev, A. F.
Trapping of an electron in the transmission through two quantum dots coupled by a wire / A. F. Sadreev, E. N. Bulgakov, I. . Rotter // JETP Letters. - 2005. - Vol. 82, Is. 8. - P. 498-503, DOI 10.1134/1.2150869. - Cited References: 32 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
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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Держатели документа:
Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Institute of Physics, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Department of Physics and Measurement Technology, Linkoping University, S-58183 Linkoping, Sweden
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Rotter, I.; Садреев, Алмаз Фаттахович
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