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Pichugin, K. N.
Irregular Aharonov-Bohm oscillations in finite width rings / K. N. Pichugin, A. F. Sadreev // Zhurnal Eksperimentalnoi Teor. Fiz. - 1996. - Vol. 109, Is. 2. - P. 546-561. - Cited References: 47 . - ISSN 0044-4510

РУБ Physics, Multidisciplinary
Рубрики:
HALF FLUX QUANTA
   EDGE STATES
   MAGNETIC-FIELD
   CIRCULAR BENDS
   WIRES
   TRANSPORT
   MAGNETOTRANSPORT
   RESISTANCE
   FLUCTUATIONS
   CONDUCTANCE

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Sadreev, A. F.
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Pichugin, K. N.
Aharanov-Bohm oscillations of conductance in two-dimensional rings / K. N. Pichugin, A. F. Sadreev // Phys. Rev. B. - 1997. - Vol. 56, Is. 15. - P. 9662-9673, DOI 10.1103/PhysRevB.56.9662. - Cited References: 56 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
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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Держатели документа:
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
KRASNOYARSK STATE UNIV,ABO ACAD,INST FYZ,DEPT PHYS,KRASNOYARSK 660062,RUSSIA
ИФ СО РАН

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Пичугин, Константин Николаевич
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Пичугин, Константин Николаевич.
Осцилляции Ааронова-Бома в двумерных мезоскопических кольцах / К. Н. Пичугин, А. Ф. Садреев // Конференция молодых ученых : материалы конф. / Рос. акад. наук [и др.]. - Красноярск, 1997. - С. 77-78

Держатели документа:
Институт физики им. Л.В. Киренского СО РАН

Доп.точки доступа:
Садреев, Алмаз Фаттахович; Sadreev, A. F.; Pichugin, K. N.; Российская академия наук; Сибирское отделение РАН; Красноярский научный центр Сибирского отделения РАНКонференция молодых ученых [КНЦ СО РАН](1997 ; март ; 18 ; Красноярск)
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Jauho, A. P.
Simulations of interference effects in gated two-dimensional ballistic electron systems / A. P. Jauho, K. N. Pichugin, A. F. Sadreev // Phys. Rev. B. - 1999. - Vol. 60, Is. 11. - P. 8191-8198, DOI 10.1103/PhysRevB.60.8191. - Cited References: 26 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
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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Держатели документа:
Tech Univ Denmark, Mikroelekt Ctr, DK-2800 Lyngby, Denmark
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Acad Sci Czech Republ, Inst Phys, CR-16200 Prague, Czech Republic
Abo Akad Univ, Dept Phys, SF-20500 Turku, Finland
ИФ СО РАН

Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович
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Signatures of quantum chaos in the nodal points and streamlines in electron transport through billiards / K. F. Berggren [et al.] // JETP Letters. - 1999. - Vol. 70, Is. 6. - P. 403-409, DOI 10.1134/1.568188. - Cited References: 13 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
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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Держатели документа:
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Acad Sci Czech Republic, Inst Phys, Prague 16000, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Berggren, K. F.; Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Starikov, A. A.
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Hall-like effect induced by spin-orbit interaction / E. N. Bulgakov [et al.] // Phys. Rev. Lett. - 1999. - Vol. 83, Is. 2. - P. 376-379, DOI 10.1103/PhysRevLett.83.376. - Cited References: 17 . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
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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Держатели документа:
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Abo Akad Univ, Inst Fys, Dept Phys, SF-20500 Turku, Finland
Acad Sci Czech Republ, Inst Phys, Prague 16253, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Streda, P.; Seba, P.
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Understanding quantum scattering properties in terms of purely classical dynamics: Two-dimensional open chaotic billiards / J. A. Mendez-Bermudez [et al.] // Phys. Rev. E. - 2002. - Vol. 66, Is. 4. - Ст. 46207, DOI 10.1103/PhysRevE.66.046207. - Cited References: 34 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
BALLISTIC-TRANSPORT
   POINCARE SECTIONS
   CAVITIES
   EIGENFUNCTIONS
   LOCALIZATION
   CHANNEL
Кл.слова (ненормированные):
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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Держатели документа:
Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico
Univ Hradec Kralove, Dept Phys, Hradec Kralove, Czech Republic
Acad Sci Czech Republ, Inst Phys, Prague, Czech Republic
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Instituto de Fisica, Univ. Autonoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico
Department of Physics, University Hradec Kralove, Hradec Kralove, Czech Republic
Institute of Physics, Czech Academy of Sciences, Cukrovarnicka 10, Prague, Czech Republic
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Mendez-Bermudez, J. A.; Luna-Acosta, G. A.; Seba, P.; Pichugin, K. N.; Пичугин, Константин Николаевич
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Multiple bound states in scissor-shaped waveguides / E. N. Bulgakov [et al.] // Phys. Rev. B. - 2002. - Vol. 66, Is. 15. - Ст. 155109, DOI 10.1103/PhysRevB.66.155109. - Cited References: 32 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
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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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Acad Sci Czech Republ, Inst Nucl Phys, CZ-25068 Rez, Czech Republic
Czech Tech Univ, Doppler Inst, Prague 11519, Czech Republic
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
ИФ СО РАН

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Exner, P.; Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович
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Conductance of open quantum billiards and classical trajectories / R. G. Nazmitdinov [et al.] // Phys. Rev. B. - 2002. - Vol. 66, Is. 8. - Ст. 85322, DOI 10.1103/PhysRevB.66.085322. - Cited References: 46 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
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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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
Joint Inst Nucl Res, Dubna 141980, Russia
Acad Sci Czech Republ, Inst Phys, Prague 16253, Czech Republic
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Univ Hradec Kralove, Dept Phys, Hradec Kralove 50003, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Nazmitdinov, R. G.; Pichugin, K. N.; Пичугин, Константин Николаевич; Rotter, I.; Seba, P.
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10.

Classical versus quantum structure of the scattering probability matrix: Chaotic waveguides / G. A. Luna-Acosta [et al.] // Phys. Rev. E. - 2002. - Vol. 65, Is. 4. - Ст. 46605, DOI 10.1103/PhysRevE.65.046605. - Cited References: 47 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
SEMICLASSICAL CROSS-SECTION
   CONDUCTANCE FLUCTUATIONS
   S-MATRIX
   BALLISTIC-TRANSPORT
   WEAK-LOCALIZATION
   CAVITIES
   COLLISIONS
   MICROSTRUCTURES
   DENSITY
   CHANNEL
Кл.слова (ненормированные):
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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Держатели документа:
Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico
Univ Hradec Kralove, Dept Phys, Hradec Kralove, Czech Republic
Acad Sci Czech Republ, Inst Phys, Prague, Czech Republic
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Instituto de Fisica, Univ. Autonoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico
Department of Physics, University Haradec Kralove, Hradec Kralove, Czech Republic
Institute of Physics, Czech Academy of Sciences, Cukrovarnicka 10, Prague, Czech Republic
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Luna-Acosta, G. A.; Mendez-Bermudez, J. A.; Seba, P.; Pichugin, K. N.; Пичугин, Константин Николаевич
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