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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Rotter I., Sadreev A. F.
Заглавие : Phase rigidity and avoided level crossings in the complex energy plane
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 2006. - Vol. 74, Is. 5. - Ст.56204. - ISSN 1539-3755, DOI 10.1103/PhysRevE.74.056204
Примечания : Cited References: 40
Предметные рубрики: OPEN QUANTUM-SYSTEMS
FANO RESONANCES
S-MATRIX
DOT
CONTINUUM
TRANSMISSION
COHERENCE
TRANSPORT
BILLIARDS
PROBE
Ключевые слова (''Своб.индексиров.''): eigenvalues and eigenfunctions--hamiltonians--resonance--rigidity--semiconductor quantum dots--biorthogonal eigenfunctions--open quantum system--phase rigidity--quantum theory
Аннотация: We consider the effective Hamiltonian of an open quantum system, its biorthogonal eigenfunctions phi(lambda), and define the value r(lambda)=(phi(lambda)parallel to phi(lambda))/phi(lambda)parallel to phi(lambda) that characterizes the phase rigidity of the eigenfunctions phi(lambda). In the scenario with avoided level crossings, r(lambda) varies between 1 and 0 due to the mutual influence of neighboring resonances. The variation of r(lambda) is an internal property of an open quantum system. In the literature, the phase rigidity rho of the scattering wave function Psi(E)(C) is considered. Since Psi(E)(C) can be represented in the interior of the system by the phi(lambda), the phase rigidity rho of the Psi(E)(C) is related to the r(lambda) and therefore also to the mutual influence of neighboring resonances. As a consequence, the reduction of the phase rigidity rho to values smaller than 1 should be considered, at least partly, as an internal property of an open quantum system in the overlapping regime. The relation to measurable values such as the transmission through a quantum dot, follows from the fact that the transmission is, in any case, resonant at energies that are determined by the real part of the eigenvalues of the effective Hamiltonian. We illustrate the relation between phase rigidity rho and transmission numerically for small open cavities.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Bulgakov E. N., Campbell D. K., Krive I. V.
Заглавие : Quantum nonlinear resonance and quantum chaos in Aharonov-Bohm oscillations in mesoscopic semiconductor rings
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1997. - Vol. 56, Is. 16. - P10338-10354. - ISSN 0163-1829, DOI 10.1103/PhysRevB.56.10338
Примечания : Cited References: 51
Предметные рубрики: EXCITED HYDROGEN-ATOMS
FREQUENCY ELECTROMAGNETIC-FIELD
PERSISTENT CURRENTS
NORMAL-METAL
ENERGY SPACE
LOCALIZATION
TRANSPORT
LOOP
TIME
TRANSMISSION
Аннотация: We consider Aharonov-Bohm oscillations in a mesoscopic semiconductor ring threaded by both a constant magnetic flux and a time-dependent, resonant magnetic field with one or two frequencies. Working in the ballistic regime, we establish that the theory of ''quantum nonlinear resonance'' applies, and thus that this system represents a possible solid-state realization of ''quantum nonlinear resonance'' and ''quantum chaos.'' In particular, we investigate the behavior of the time-averaged electron energy at zero temperature in the regimes of (i) an isolated quantum nonlinear resonance and (ii) the transition to quantum chaos, when two quantum nonlinear resonances overlap. The time-averaged energy exhibits sharp resonant behavior as a function of the applied constant magnetic flux, and has a staircase dependence on the amplitude of the external time-dependent field. In the chaotic regime, the resonant behavior exhibits complex structure as a function of flux and frequency. We compare and contrast the quantum chaos expected in these mesoscopic ''solid-state atoms'' with that observed in Rydberg atoms in microwave fields, and discuss the prospects for experimental observation of the effects we predict.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichugin K. N., Sadreev A. F.
Заглавие : Aharanov-Bohm oscillations of conductance in two-dimensional rings
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1997. - Vol. 56, Is. 15. - P9662-9673. - ISSN 0163-1829, DOI 10.1103/PhysRevB.56.9662
Примечания : Cited References: 56
Предметные рубрики: NORMAL-METAL RINGS
HALF FLUX QUANTA
MESOSCOPIC RING
MAGNETIC-FIELD
CIRCULAR BENDS
EDGE STATES
MAGNETOTRANSPORT
TRANSPORT
WIRES
TRANSITION
Аннотация: Transport properties of mesoscopic rings with applied external magnetic field are considered numerically. Rings have square and circular forms and a finite aspect ratio d/L where L is the ring size and d is the width of ring arms. The type of the Aharonov-Bohm oscillations (ABO's) of the transmission substantially depends on the number of channels participating in the electron transmission. Moreover the aspect ratio and the geometrical form of the ring are important for the ABO's. In square rings with a small aspect ratio (d/L = 1/10) the transmission displays periodic ABO's in the region of applied magnetic field defined by the inequality infinity l(B) = ((h) over bar c/eB)(1/2)greater than or equal to d, while for rings with a large aspect ratio (d/L = 1/3) only the single-channel transmission has quasiperiodical ABO's. For the circular rings with small aspect ratios the quasiperiodic ABO's are observed all over the region of the applied magnetic field while for the rings with moderate aspect ratios only the multichannel transmission displays irregular ABO's. The probability current flow patterns demonstrate fine correspondence between the transmission and the vortex structure of current distributions in the rings. For single-channel transmission, electron currents are laminar. For multichannel transport, current flow patterns display a complicated convection pattern in the form of a vortex lattice. An elementary cell of the vortex lattice consists of a few vortices and antivortices and has a size of similar to d/f, where f is the number of channels of electron transmission in the ring. Application of the flux distorts the vortex lattice enormously, partially destroying it. Correspondingly the Aharonov-Bohm oscillations of the transmission become irregular.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Gopar V. A., Mello P. A., Rotter I.
Заглавие : Statistical study of the conductance and shot noise in open quantum-chaotic cavities: Contribution from whispering gallery modes
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2006. - Vol. 73, Is. 15. - Ст.155302. - ISSN 1098-0121, DOI 10.1103/PhysRevB.73.155302
Примечания : Cited References: 20
Предметные рубрики: HELMHOLTZ EQUATION
INFORMATION-THEORY
NUCLEAR-REACTIONS
TRANSPORT
Аннотация: In the past, a maximum-entropy model was introduced and applied to the study of statistical scattering by chaotic cavities, when short paths may play an important role in the scattering process. In particular, the validity of the model was investigated in relation with the statistical properties of the conductance in open chaotic cavities. In this paper we investigate further the validity of the maximum-entropy model, by comparing the theoretical predictions with the results of computer simulations, in which the Schrodinger equation is solved numerically inside the cavity for one and two open channels in the leads; we analyze, in addition to the conductance, the zero-frequency limit of the shot-noise power spectrum. We also obtain theoretical results for the ensemble average of this last quantity, for the orthogonal and unitary cases of the circular ensemble and an arbitrary number of channels. Generally speaking, the agreement between theory and numerics is good. In some of the cavities that we study, short paths consist of whispering gallery modes, which were excluded in previous studies. These cavities turn out to be all the more interesting, as it is in relation with them that we found certain systematic discrepancies in the comparison with theory. We give evidence that it is the lack of stationarity inside the energy interval that is analyzed, and hence the lack of ergodicity-a property assumed in the maximum-entropy model-that gives rise to the discrepancies. Indeed, the agreement between theory and numerical simulations is improved when the energy interval is reduced to a point and the statistics is then collected over an ensemble obtained by varying the position of an obstacle inside the cavity. It thus appears that the maximum-entropy model is valid beyond the domain where it was originally derived. An understanding of this situation is still lacking at the present moment.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Balaev D. A., Prus A. G., Shaikhutdinov K. A., Petrov M. I.
Заглавие : Angular dependence of the magnetoresistance in Y3/4Lu1/4Ba2Cu3O7-CuO composites at 77 K
Разночтения заглавия :авие SCOPUS: Angular dependence of the magnetoresistance in Y3/4Lu 1/4Ba2Cu3O7-CuO composites at 77 K
Место публикации : Tech. Phys. Lett.: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2006. - Vol. 32, Is. 8. - P677-679. - ISSN 1063-7850, DOI 10.1134/S1063785006080128
Примечания : Cited References: 16
Предметные рубрики: CERAMIC SUPERCONDUCTORS
MAGNETIC-FIELD
MICROSTRUCTURE
BOUNDARIES
TRANSPORT
MOTION
FILMS
Аннотация: The angular dependence of the magnetoresistance of polycrystalline Y3/4Lu1/4Ba2Cu3O7-CuO composites has been studied. These composites represent a system of Josephson junctions and exhibit a large magnetoresistance at 77 K. In addition to the isotropic component, there is the angle-dependent component proportional to sin(2)theta, where theta is the angle between the directions of current and magnetic field. This behavior is unambiguous evidence for the process of flux flow in the Josephson medium realized in the composites.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Balaev D. A., Popkov S. I., Shaikhutdinov K. A., Petrov M. I.
Заглавие : Investigation of the Josephson coupling through a magnetoactive barrier (ferrimagnet, paramagnet) in Y3/4Lu1/4Ba2Cu3O7+Y-3(Al1-xFex)(5)O-12 composites
Разночтения заглавия :авие SCOPUS: Investigation of the Josephson coupling through a magnetoactive barrier (ferrimagnet, paramagnet) in Y3/4Lu1/4Ba 2Cu3O7 + Y3(Al1 - X Fe x )5O12 composites
Место публикации : Phys. Solid State: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2006. - Vol. 48, Is. 11. - P2046-2055. - ISSN 1063-7834, DOI 10.1134/S1063783406110023
Примечания : Cited References: 41
Предметные рубрики: S-F-S
MAGNETIC-PROPERTIES
RESISTIVE PROPERTIES
JUNCTION NETWORK
SUPERCONDUCTOR
Y3FE5-XALXO12
TRANSITION
TRANSPORT
METAL
FIELD
Аннотация: The transport properties of two-phase composites consisting of a high-temperature superconductor and a nonsuperconducting component with magnetic ordering are analyzed. These composites are considered as a network of "superconductor-magnetoactive insulator-superconductor" weak links of the Josephson type. Substituted garnets Y-3(Al1 - x Fe (x) )(5)O-12 (x = 0, ..., 1.0) are used as a magnetoactive component. The composites under investigation contain 92.5 vol % Y3/4Lu1/4Ba2Cu3O7 (the high-temperature superconductor) and 7.5 vol % Y-3(Al1 - x Fe (x) )(5)O-12 (x = 0, ..., 1.0). It is shown that an increase in the iron content in the Y-3(Al1 - x Fe (x) )(5)O-12 garnet leads to a reduction of the Josephson coupling strength: the temperature range in which the electrical resistance of the composites is equal to zero is reduced, and the critical current density at a temperature of 4.2 K decreases exponentially. For composites in which the iron content in the Y-3(Al1 - x Fe (x) )(5)O-12 garnet is higher than 0.1, the temperature dependence of the electrical resistance R(T) at temperatures below the transition point T-C of high-temperature superconductor crystallites has a portion in the range T-m -T-C where the resistance R(T) is independent of the transport current and the magnetic field strength. Below the temperature T-m , the dependences of the electrical resistance R(T) of the composites are nonlinear functions of the current and involve a considerable contribution from magnetoresistance. This behavior is characteristic of a network of Josephson junctions. The temperature T-m decreases with an increase in the iron content in the Y-3(Al1 - x Fe (x) )(5)O-12 garnet. The appearance of the above feature in the temperature dependences of the electrical resistance R(T) is interpreted as complete suppression of the Josephson coupling in the temperature range above T (m) due to the interaction of supercurrent carrier pairs with magnetic moments of iron atoms in the dielectric barriers separating high-temperature superconductor grains.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Erementchouk M. V., Kusmartsev F. V.
Заглавие : Direct-current generation due to wave mixing in semiconductors
Место публикации : Europhys. Lett. - 1999. - Vol. 47, Is. 5. - P.595-600. - ISSN 0295-5075, DOI 10.1209/epl/i1999-00430-0
Примечания : Cited References: 34
Предметные рубрики: BLOCH OSCILLATOR
SUPERLATTICES
PHOTOCURRENT
TRANSPORT
FREQUENCY
FIELD
RECTIFIERS
EMISSION
CHAOS
GAAS
Аннотация: We describe an effect of the generation of direct current which may arise in semiconductors or semiconductor microstructures due to a mixing of coherent electromagnetic radiations of commensurate frequencies. The effect is, in essence, due to a nonparabolicity of the electron energy bands and is stronger in systems where this nonparabolicity is greater. We have made exact calculations in the framework of the Kane model, applicable to narrow-gap semiconductors and the tight-binding model which we employ for a description of a semiconductor superlattice.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Spin polarization in quantum dots by radiation field with circular polarization
Место публикации : JETP Letters. - 2001. - Vol. 73, Is. 10. - P.505-509. - ISSN 0021-3640, DOI 10.1134/1.1387515
Примечания : Cited References: 25
Предметные рубрики: 2-DIMENSIONAL ELECTRON-GAS
RANDOM MAGNETIC-FIELD
ORBIT INTERACTION
TRANSPORT
BARRIERS
MAGNETORESISTANCE
PHASE
Аннотация: For circular quantum dot (QD), taking into account the Razhba spin-orbit interaction (SOI), an exact energy spectrum is obtained. For a small SOI constant, the eigenfunctions of the QD are found. It is shown that the application of a radiation field with circular polarization removes the Kramers degeneracy of the QD eigenstates. Effective spin polarization of electrons transmitted through the QD owing to a radiation field with circular polarization is demonstrated. (C) 2001 MAIK "Nauka/Interperiodica".
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Cannon E. H., Kusmartsev F. V., Campbell D. K.
Заглавие : Fractional and unquantized dc voltage generation in THz-driven semiconductor superlattices
Место публикации : Europhys. Lett. - 2001. - Vol. 56, Is. 6. - P.842-848. - ISSN 0295-5075, DOI 10.1209/epl/i2001-00596-9
Примечания : Cited References: 40
Предметные рубрики: BLOCH OSCILLATIONS
SYMMETRY-BREAKING
ELECTRIC-FIELD
FREQUENCY
TRANSPORT
CHAOS
RESONANCES
RADIATION
Аннотация: We consider the spontaneous creation of a dc voltage across a strongly coupled semiconductor superlattice subjected to THz radiation. We show that the dc voltage may be approximately proportional either to an integer or to a half-integer multiple of the frequency of the applied ac field, depending on the ratio of the characteristic scattering rates of conducting electrons. For the case of an ac field frequency less than the characteristic scattering rates, we demonstrate the generation of an unquantized dc voltage.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Nazmitdinov R. G., Pichugin K. N., Rotter I., Seba P.
Заглавие : Conductance of open quantum billiards and classical trajectories
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2002. - Vol. 66, Is. 8. - Ст.85322. - ISSN 1098-0121, DOI 10.1103/PhysRevB.66.085322
Примечания : Cited References: 46
Предметные рубрики: BALLISTIC MICROSTRUCTURES
CHAOTIC SCATTERING
FLUCTUATIONS
DOTS
TRANSPORT
DYNAMICS
STATES
MAGNETOTRANSPORT
STATISTICS
RESONANCES
Аннотация: We analyze the transport phenomena of two-dimensional quantum billiards with convex boundary of different shape. The quantum mechanical analysis is performed by means of the poles of the S matrix while the classical analysis is based on the motion of a free particle inside the cavity along trajectories with a different number of bounces at the boundary. The value of the conductance depends on the manner in which the leads are attached to the cavity. The Fourier transform of the transmission amplitudes is compared with the length of the classical paths. There is good agreement between classical and quantum mechanical results when the conductance is achieved mainly by special short-lived states such as whispering gallery modes and bouncing ball modes. In these cases, also the localization of the wave functions agrees with the picture of the classical paths. The S matrix is calculated classically and compared with the transmission coefficients of the quantum mechanical calculations for five modes in each lead. The number of modes coupled to the special states is effectively reduced.
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