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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichugin K. N., Sadreev A. F.
Заглавие : Irregular Aharonov-Bohm oscillations in finite width rings
Место публикации : Zhurnal Eksperimentalnoi Teor. Fiz.: MEZHDUNARODNAYA KNIGA, 1996. - Vol. 109, Is. 2. - P546-561. - ISSN 0044-4510
Примечания : Cited References: 47
Предметные рубрики: HALF FLUX QUANTA
EDGE STATES
MAGNETIC-FIELD
CIRCULAR BENDS
WIRES
TRANSPORT
MAGNETOTRANSPORT
RESISTANCE
FLUCTUATIONS
CONDUCTANCE
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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 сборника (однотомник)
Шифр издания :
Автор(ы) : Пичугин, Константин Николаевич, Садреев, Алмаз Фаттахович
Заглавие : Осцилляции Ааронова-Бома в двумерных мезоскопических кольцах
Коллективы : Российская академия наук, Сибирское отделение РАН, Красноярский научный центр Сибирского отделения РАН, Конференция молодых ученых [КНЦ СО РАН]
Место публикации : Конференция молодых ученых: материалы конф./ Рос. акад. наук [и др.]. - Красноярск, 1997. - С. 77-78
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Jauho A. P., Pichugin K. N., Sadreev A. F.
Заглавие : Simulations of interference effects in gated two-dimensional ballistic electron systems
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1999. - Vol. 60, Is. 11. - P8191-8198. - ISSN 0163-1829, DOI 10.1103/PhysRevB.60.8191
Примечания : Cited References: 26
Предметные рубрики: CIRCULAR BENDS
WAVE-GUIDES
QUANTUM
CONDUCTANCE
FLOW
GAS
Аннотация: We present detailed simulations addressing recent electronic interference experiments,where a metallic gate is used to locally modify the Fermi wavelength of the charge carriers. Our numerical calculations are based on a solution of the one-particle Schrodinger equation for a realistic model of the actual sample geometry, including a Poison equation-based determination of the potential due to the gate. The conductance is determined with the multiprobe Landauer-Buttiker formula, and in general we find conductance vs gate voltage characteristics, which closely resemble the experimental traces. A detailed examination based on quantum-mechanical streamlines suggests that the simple one-dimensional semiclassical model often used to describe the experiments has only a limited range of validity, and that certain ''unexpected" periodicities should not be assigned any particular significance, they arise due to the complicated multiple scattering processes occurring in certain sample geometries.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berggren K. F., Pichugin K. N., Sadreev A. F., Starikov A. A.
Заглавие : Signatures of quantum chaos in the nodal points and streamlines in electron transport through billiards
Разночтения заглавия :us: Signature of quantum chaos in the nodal points and streamlines in electron transport through billiards
Место публикации : JETP Letters. - 1999. - Vol. 70, Is. 6. - P.403-409. - ISSN 0021-3640, DOI 10.1134/1.568188
Примечания : Cited References: 13
Предметные рубрики:
Аннотация: Streamlines and the distributions of nodal points are used as signatures of chaos in coherent electron transport through three types of billiards: Sinai, Bunimovich, and rectangular. Numerical averaged distribution functions of the nearest distances between nodal points are presented. We find the same form for the Sinai and Bunimovich billiards and suggest that there is a universal form that can be used as a signature of quantum chaos for electron transport in open billiards. The universal distribution function is found to be insensitive to the way the averaging is performed (over the positions of the leads, over an energy interval with a few conductance fluctuations, or both). The integrable rectangular billiard, on the other hand, displays a nonuniversal distribution with a central peak related to partial order of nodal points for the case of symmetric attachment of the leads. However, cases with asymmetric leads tend to the universal form. Also, it is shown how nodal points in the rectangular billiard can lead to "channeling of quantum flows," while disorder in the nodal points in the Sinai billiard gives rise to unstable irregular behavior of the flow. (C) 1999 American Institute of Physics. [S0021- 3640(99)00718-5].
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pichugin K. N., Sadreev A. F., Streda P., Seba P.
Заглавие : Hall-like effect induced by spin-orbit interaction
Место публикации : Phys. Rev. Lett.: AMERICAN PHYSICAL SOC, 1999. - Vol. 83, Is. 2. - P376-379. - ISSN 0031-9007, DOI 10.1103/PhysRevLett.83.376
Примечания : Cited References: 17
Предметные рубрики: BERRYS PHASE
CONDUCTANCE
SCATTERING
SPECTRUM
RINGS
Аннотация: We study the effect of spin-orbit interaction on the electron-transport properties of a cross-junction structure. It results in spin polarization of left and right outgoing electron waves. Consequently, the incoming electron wave of a certain polarization induces a voltage drop perpendicular to the direct current flow between the source and drain of the four-terminal cross structure investigated. The resulting Hall-like resistance is estimated to be of the order of 10(-3)-10(-2)h/e(2) for technologically feasible structures. The effect becomes more pronounced in the vicinity of resonances when the Hall-like resistance changes its sign as a function of the Fermi energy.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Mendez-Bermudez J. A., Luna-Acosta G. A., Seba P., Pichugin K. N.
Заглавие : Understanding quantum scattering properties in terms of purely classical dynamics: Two-dimensional open chaotic billiards
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2002. - Vol. 66, Is. 4. - Ст.46207. - ISSN 1539-3755, DOI 10.1103/PhysRevE.66.046207
Примечания : Cited References: 34
Предметные рубрики: BALLISTIC-TRANSPORT
POINCARE SECTIONS
CAVITIES
EIGENFUNCTIONS
LOCALIZATION
CHANNEL
Ключевые слова (''Своб.индексиров.''): chaos theory--electron tunneling--laser applications--nonlinear systems--probability--waveguide components--chaotic motion--microlasers--quantum scattering--scattering probability--quantum theory--article
Аннотация: We study classical and quantum scattering properties of particles in the ballistic regime in two-dimensional chaotic billiards that are models of electron- or micro-waveguides. To this end we construct the purely classical counterparts of the scattering probability (SP) matrix \S(n,m)\(2) and Husimi distributions specializing to the case of mixed chaotic motion (incomplete horseshoe). Comparison between classical and quantum quantities allows us to discover the purely classical dynamical origin of certain general as well as particular features that appear in the quantum description of the system. On the other hand, at certain values of energy the tunneling of the wave function into classically forbidden regions produces striking differences between the classical and quantum quantities. A potential application of this phenomenon in the field of microlasers is discussed briefly. We also see the manifestation of whispering gallery orbits as a self-similar structure in the transmission part of the classical SP matrix.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Exner P., Pichugin K. N., Sadreev A. F.
Заглавие : Multiple bound states in scissor-shaped waveguides
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2002. - Vol. 66, Is. 15. - Ст.155109. - ISSN 1098-0121, DOI 10.1103/PhysRevB.66.155109
Примечания : Cited References: 32
Предметные рубрики: QUANTUM WAVE-GUIDES
HELMHOLTZ EQUATION
RADIATION-FIELD
HALL RESISTANCE
RESONANCES
WIRES
PROPAGATION
MODES
Аннотация: We study bound states of the two-dimensional Helmholtz equations with Dirichlet boundary conditions in an open geometry given by two straight leads of the same width which cross at an angle theta. Such a four-terminal junction with a tunable theta can realized experimentally if a right-angle structure is filled by a ferrite. It is known that for theta=90degrees there is one proper bound state and one eigenvalue embedded in the continuum. We show that the number of eigenvalues becomes larger with increasing asymmetry and the bound-state energies are increasing as functions of theta in the interval (0,90degrees). Moreover, states which are sufficiently strongly bound exist in pairs with a small energy difference and opposite parities. Finally, we discuss how the bound states transform with increasing theta into quasibound states with a complex wave vector.
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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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Luna-Acosta G. A., Mendez-Bermudez J. A., Seba P., Pichugin K. N.
Заглавие : Classical versus quantum structure of the scattering probability matrix: Chaotic waveguides
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2002. - Vol. 65, Is. 4. - Ст.46605. - ISSN 1539-3755, DOI 10.1103/PhysRevE.65.046605
Примечания : Cited References: 47
Предметные рубрики: SEMICLASSICAL CROSS-SECTION
CONDUCTANCE FLUCTUATIONS
S-MATRIX
BALLISTIC-TRANSPORT
WEAK-LOCALIZATION
CAVITIES
COLLISIONS
MICROSTRUCTURES
DENSITY
CHANNEL
Ключевые слова (''Своб.индексиров.''): chaos theory--matrix algebra--optical waveguides--quantum theory--scattering--wave equations--chaotic cavities--chaotic waveguides--quantum structure--scattering probability matrix--quantum optics
Аннотация: The purely classical counterpart of the scattering probability matrix (SPM) \S(n,m)\(2) of the quantum scattering matrix S is defined for two-dimensional quantum waveguides for an arbitrary number of propagating modes M. We compare the quantum and classical structures of \S(n,m)\(2) for a waveguide with generic Hamiltonian chaos. It is shown that even for a moderate number of channels, knowledge of the classical structure of the SPM allows us to predict the global structure of the quantum one and, hence, understand important quantum transport properties of waveguides in terms of purely classical dynamics. It is also shown that the SPM, being an intensity measure, can give additional dynamical information to that obtained by the Poincare maps.
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