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Wigner function description of ac transport through a two-dimensional quantum point contact / I. E. Aronov [et al.] // J. Phys.: Condens. Matter. - 1997. - Vol. 9, Is. 24. - P. 5089-5103, DOI 10.1088/0953-8984/9/24/009. - Cited References: 45 . - ISSN 0953-8984

РУБ Physics, Condensed Matter
Рубрики:
QUANTIZED CONDUCTANCE
   BALLISTIC-RESISTANCE
   CONSTRICTION
   CAPACITANCE
   ADMITTANCE
   ELECTRONS
   SYSTEMS
   FIELD
   PUMP
Аннотация: We have calculated the admittance of a two-dimensional quantum point contact (QPC) using a novel variant of the Wigner distribution function (WDF) formalism. In the semiclassical approximation, a Boltzmann-like equation is derived for the partial WDF describing both propagating and non-propagating electron modes in an effective potential generated by the adiabatic QPC. We show that this quantum kinetic approach leads to the well known stepwise behaviour of the real part of the admittance (the conductance), and of the imaginary part of the admittance (the emittance), in agreement with the latest results derived by Christen and Buttiker, which is determined by the number of propagating electron modes. It is shown that the emittance is sensitive to the geometry of the QPC, and can be controlled by the gate voltage. We have established that the emittance has contributions corresponding to both quantum inductance and quantum capacitance. Stepwise oscillations in the quantum inductance are determined by the harmonic mean of the velocities for the propagating modes, whereas the quantum capacitance is a significant mesoscopic manifestation of the nonpropagating (reflecting) modes.

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Держатели документа:
LOS ALAMOS NATL LAB,CNLS,LOS ALAMOS,NM 87545
UKRAINIAN ACAD SCI,INST RADIOPHYS & ELECT,UA-310085 KHARKOV,UKRAINE
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
ИФ СО РАН
Theoretical Division, CNLS, Los Alamos National Laboratory, Los Alamos, NM 87545, United States
Inst. Radiophysics and Electronics, Natl. Academy of Sciences of Ukraine, 12 Acad Proskura Street, 310085, Kharkov, Ukraine
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation
Department of Physics, Univ. Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, IL 61801-3080, United States

Доп.точки доступа:
Aronov, I. E.; Berman, G. P.; Campbell, D. K.; Dudiy, S. V.
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Vortex pinning and magnetic peak effect in Eu(Eu,Ba)2.125Cu3Ox / E. Altin [et al.] // J. Mater. Sci.-Mater. Electron. - 2014. - Vol. 25, Is. 3. - P. 1466-1473, DOI 10.1007/s10854-014-1753-1. - Cited References: 30 . - ISSN 0957-4522. - ISSN 1573-482X

РУБ Engineering, Electrical & Electronic + Materials Science, Multidisciplinary + Physics, Applied + Physics, Condensed Matter
Рубрики:
SUPERCONDUCTORS
   FIELD
   NANOCRYSTALLINE
   TEMPERATURE
   LOOP
Аннотация: Eu–Ba–Cu–O composition was synthesized by solid state reaction technique. To determine optimum growth temperature, heat treatment was examined on the material at 880–1,100 °C. Microstructural evolution, phase formation and elemental distribution depending on heat treatments were examined by using X-ray diffraction, scanning electron microscope, energy dispersive X-ray spectroscope analysis. Optimum fabrication conditions were determined as 1,020 °C for 24 h under oxygen atmosphere and detailed characterization of corresponding compound was performed. The magnetization hysteresis loops are expounded to be the product of superconducting Eu-123 grains and magnetic Eu2+ ions. The peak effect on the magnetization curves was described by the extended critical state model. Scaling of the pinning force was found such that the peak position is proportional to the irreversibility field H irr and the maximum pinning force is proportional to H irr 2 .

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Держатели документа:
Inonu Univ, Bilimsel & Teknolojik Arastirma Merkezi, TR-44280 Malatya, Turkey
LV Kirensky Inst Phys SB RAS, Krasnoyarsk 660036, Russia
Inonu Univ, Fen Edebiyat Fak, Fizik Bolumu, Superiletkenlik Arastirma Grubu, TR-44280 Malatya, Turkey

Доп.точки доступа:
Altin, E.; Gokhfeld, D. M.; Гохфельд, Денис Михайлович; Demirel, S.; Oz, E.; Kurt, F.; Altin, S.; Yakinci, M.E.
}
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Valkov, V. V.
Application of indefinite metric for transition to bose description of Su(3) hamiltonians - excitation spectrum of spin nematics / V. V. Valkov, T. A. Valkova // Zhurnal Eksperimentalnoi Teor. Fiz. - 1991. - Vol. 99, Is. 6. - P. 1881-1897. - Cited References: 37 . - ISSN 0044-4510

РУБ Physics, Multidisciplinary
Рубрики:
BIQUADRATIC EXCHANGE
   PHASE-TRANSITIONS
   DIAGRAM TECHNIQUE
   MAGNETISM
   FIELD
   STATE
Аннотация: A procedure is developed for a correct transition to the Bose representation for quantum SU(3) Hamiltonians. The analysis is carried out for a spin nematic by applying the indefinite metric formalism and pseudo-Hubbard operators. An important aspect of the theory is that the finiteness of the number of physical states is taken into account. This is attained by introducing and consistently taking into account the metric operator for which purpose a simple expression in terms of Bose operators is suggested. It is shown that in this approach the quantum Bose analog of the Hamiltonian is an Hermitian operator. This circumstance removes a number of principle contradictions which appeared previously on application of the Bose analog of the Hamiltonian derived by virtually identifying the Hubbard and pseudo-Hubbard operators and ignoring the finiteness of the number of physical states. The integral equations defining the chief characteristics of the system are obtained and solved analytically for the spin-nematic state of a magnet with S = 1 and by taking into account anharmonic effects. This permits one to write down in nonlinear theory explicit expressions for the two branches of the quantum excitation spectrum. The character of the renormalization of the spectrum parameters due to the presence of zero-point quantum oscillations is studied. The renormalization of the critical field on transition of the system from the spin nematic state is calculated analytically.

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Доп.точки доступа:
Valkova, T. A.; Вальков, Валерий Владимирович
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Unusual magnetic transitions and nature of magnetic resonance spectra in oxide glasses containing gadolinium / J. . Kliava [et al.] // Phys. Rev. B. - 2005. - Vol. 71, Is. 10. - Ст. 104406, DOI 10.1103/PhysRevB.71.104406. - Cited References: 40 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
ELECTRON-PARAMAGNETIC-RESONANCE
   BORATE GLASSES
   IONS
   BEHAVIOR
   GD3+
   SPECTROSCOPY
   SYSTEMS
   GD-3+
   FIELD
   SHAPE
Кл.слова (ненормированные):
gadolinium -- glass -- lanthanide -- oxide -- anisotropy -- article -- chemical structure -- concentration response -- electron spin resonance -- energy -- magnetism -- molecular physics -- nanoparticle -- phase transition -- refraction index -- temperature sensitivity
Аннотация: Magnetic susceptibility, electron paramagnetic resonance (EPR), and optical properties have been studied in a glass system {20La(2)O(3)-22Al(2)O(3)-23B(2)O(3)-35(SiO2+GeO2)} with a part of La2O3 substituted by Gd2O3 in different concentrations. Positive Weiss constants have been found in the more heavily doped glasses and ascribed to clustering of Gd3+ ions. Two magnetic phase transitions at 55 and 12 K were detected and ascribed, respectively, to ferromagnetic and antiferromagnetic clusters containing Gd ions. The overall shape of the EPR spectra shows the presence of clustering at the higher Gd contents. At low temperatures the cluster-related resonance signal is altered in shape, indicating an onset of magnetic anisotropy field. This signal is convincingly fitted to superparamagnetic resonance arising from ferromagnetic nanoparticles. The clustering, depending on the Gd concentration, correlates with a significant shift to lower energies of the strong optical absorption band edge, ascribed to a charge transfer transition between Gd ions. A nonmonotonous change of refractive index with the increase of the Gd content indicates changes in the glass matrix and in Gd cluster structure.

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Держатели документа:
Univ Bordeaux 1, CNRS, UMR 5798, CPMOH, F-33405 Talence, France
Bar Ilan Univ, Dept Chem, IL-52900 Ramat Gan, Israel
RAS, SB, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
SI Vavilov State Opt Inst, St Petersburg 199034, Russia
Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel
ИФ СО РАН
CPMOH, UMR 5798, CNRS-Universite Bordeaux-I, 33405 Talence Cedex, France
Department of Chemistry, Bar-Ilan University, Ramat-Gan 52900, Israel
L. V. Kirensky Institute of Physics SB RAS, Krasnoyarsk 660036, Russian Federation
S. V. Vavilov State Optical Institute, St. Petersburg 199034, Russian Federation
Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel

Доп.точки доступа:
Kliava, J.; Malakhovskii, A. V.; Малаховский, Александр Валентинович; Edelman, I. S.; Эдельман, Ирина Самсоновна; Potseluyko, A. M.; Petrakovskaja, E. A.; Петраковская, Элеонора Анатольевна; Melnikova, S.V.; Мельникова, Светлана Владимировна; Zarubina, T. V.; Petrovskii, G.; Bruckental, Y.; Yeshurun, Y.
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Transport and magnetic properties of Y3/4Lu1/4Ba2Cu3O7+Y3Fe5O12 composites representing a Josephson-type superconductor-ferrimagnet-superconductor weak-link network / K. A. Shaikhutdinov [et al.] // Phys. Solid State. - 2003. - Vol. 45, Is. 10. - P. 1866-1873, DOI 10.1134/1.1620087. - Cited References: 36 . - ISSN 1063-7834

РУБ Physics, Condensed Matter
Рубрики:
RESISTIVE PROPERTIES
   JUNCTION NETWORK
   SYSTEM
   TRANSITION
   CURRENTS
   VOLTAGE
   STATE
   FIELD
Аннотация: Y3/4Lu1/4Ba2Cu3O7 + Y3Fe5O12 composites with different volume ratios of the starting components were synthesized. The composites model an S-F-S Josephson junction network, where S stands for a superconductor and F, for a ferrimagnet. A study of the transport characteristics of the composites revealed that the temperature behavior of the electrical resistivity rho(T) below the superconducting transition point T-C is different in two regions separated by a temperature T-m. Below T-m, the current-voltage characteristics of the composites are nonlinear, while in the interval from T-C to T-m the values of rho(T) do not depend on the transport current j and magnetic field H. This behavior of rho(T, j ) and rho(T, H) is assigned to specific features of the tunneling of superconducting carriers through the ferrimagnetic layers separating HTSC grains in the composite. Magnetic measurements showed the diamagnetic response of HTSC grains to be lower in composites with a ferrimagnet. (C) 2003 MAIK "Nauka / Interperiodica".

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Div, Krasnoyarsk 660036, Russia
ИФ СО РАН
Kirensky Institute of Physics, Siberian Division, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk 660036, Russian Federation

Доп.точки доступа:
Shaikhutdinov, K. A.; Шайхутдинов, Кирилл Александрович; Balaev, D. A.; Балаев, Дмитрий Александрович; Popkov, S. I.; Попков, Сергей Иванович; Petrov, M. I.; Петров, Михаил Иванович
}
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Study of the high-coercivity material based on ε-Fe2O3 nanoparticles in the silica gel matrix / D. A. Balaev [et al.] // Tech. Phys. Lett. - 2016. - Vol. 42, Is. 4. - P. 347-350, DOI 10.1134/S1063785016040039. - Cited References: 17. - This study was supported by the Federal Agency for Scientific Organizations of Russia (base budget financing no. V.44.1.15), the Scientific and Educational Center of Energy-Efficient Catalysis at the Novosibirsk State University, and the Russian Foundation for Basic Research (project no. 15-32-50919). . - ISSN 1063-7850

РУБ Physics, Applied
Рубрики:
Phase
   Field
   State
   Oxide
   Iron
Аннотация: We report the results of investigations of ε-Fe2O3 magnetic nanoparticles obtained by incipient wetness impregnation of silica gel. It was established that the obtained samples with an iron content of 12‒16% mass % containing ε-Fe2O3 nanoparticles with an average size of 10 nm on the silica gel surface exhibit a room-temperature coercivity of about 10 kOe. Along with fabrication simplicity, this fact makes the prepared samples promising for application as a magnetically hard material. © 2016, Pleiades Publishing, Ltd

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Публикация на русском языке Исследование высококоэрцитивного материала на основе наночастиц ε-Fe2O3 в матрице силикагеля [Текст] / Д. А. Балаев [и др.] // Письма в Журн. технич. физ. : Санкт-Петербургская издательско-книготорговая фирма "Наука", 2016. - Т. 42 Вып. 7. - С. 23-30

Держатели документа:
Kirensky Institute of Physics, Russian Academy of Sciences, Siberian Branch, Krasnoyarsk, Russian Federation
Siberian Federal University, Krasnoyarsk, Russian Federation
Boreskov Institute of Catalysis, Russian Academy of Sciences, Siberian Branch, Novosibirsk, Russian Federation
Novosibirsk State University, Novosibirsk, Russian Federation
International Laboratory of High Magnetic Fields and Low Temperatures, Wroclaw, Poland

Доп.точки доступа:
Balaev, D. A.; Балаев, Дмитрий Александрович; Yakushkin, S. S.; Dubrovskii, A. A.; Дубровский, Андрей Александрович; Bukhtiyarova, G. A.; Shaikhutdinov, K. A.; Шайхутдинов, Кирилл Александрович; Martyanov, O. N.
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Study of structural and ferromagnetic resonance properties of spinel lithium ferrite (LiFe5O8) single crystals / N. Pachauri [et al.] // J. Appl. Phys. - 2015. - Vol. 117, Is. 23. - Ст. 233907, DOI 10.1063/1.4922778. - Cited References:32. - This work has been supported by NSF Grant No. ECCS-1102263. Tim Mewes and Behrouz Khodadadi would like to acknowledge support by the NSF-CAREER Award No. 0952929. R. Datta and B. Loukya sincerely acknowledge ICMS for providing advanced microscopy facility and funding. We thank Sahar Keshavarz, Archana Panikar, Stefan Kingler, and Jamileh Beik Mohammadi for help with the experimental work. . - ISSN 0021. - ISSN 1089-7550. -

РУБ Physics, Applied
Рубрики:
EFFECTIVE LINEWIDTH
   MAGNETIC-PROPERTIES
   FIELD
   TEMPERATURE
   DEPENDENCE
Аннотация: The effect of B-site cation ordering on the room temperature structural and ferromagnetic resonance (FMR) properties of single crystal spinel lithium ferrite (LiFe5O8, LFO) have been investigated. A detailed microstructural analysis is done through X-ray diffraction, polarized Raman spectroscopy, and transmission electron microscopy (TEM) to examine the effect of post-annealing on the B-site cation ordering. The X-ray diffraction pattern of the as-grown crystal indicates a disordered state of the crystal. However, the annealed sample shows additional superlattice reflections corresponding to the ordered phase. This ordering is further confirmed by Raman spectra and TEM images, which reveal ordering of Li and Fe ions at the octahedral sites contrasting with the relatively high degree of octahedral site disorder in the as-grown crystal. To study the effect of B-site ordering on the magnetic properties and FMR linewidth, vibrating sample magnetometry and broadband FMR measurements have been performed for both the ordered and disordered phases of lithium ferrite. The value of saturation magnetization for both phases is ∼290 emu/cm3. A single mode FMR profile is observed for both phases with little distortion. The linewidth characteristics of the ordered and disordered phases of lithium ferrite phases are compared, and it is observed that the linewidth is independent of the cation ordering. Both the phases exhibit a low linewidth (∼26 Oe at 30 GHz) and the effective damping parameter for the as-grown and annealed samples is determined to be 0.0021 ± 0.0001.
Влияние катионного упорядочения в Б-позициях при комнатной температуре на структурные свойства и ферромагнитный резонанс (ФМР) монокристалла литий железной шпинели (LiFe5O8, LFO) были исследованы. Подробный анализ микроструктуры делается с использованием рентгеновской дифракции, спектроскопии комбинационного рассеяния поляризованного света и просвечивающей электронной микроскопии (ПЭМ), чтобы изучить влияние после отжига на катионное упорядочение в B-позиции. Рентгеновская дифракционная картина, так выращенных кристаллов указывает на беспорядочное состояние кристалла. Тем не менее, пример показывает дополнительные индексы, соответствующие сверхрешетчатой упорядоченной фазы, при отжиге. Этот порядок подтверждается также спектрами комбинационного рассеяния и ТЕМ изображений, которые показывают порядок ионов Li и Fe в октаэдрических контрастными с относительно высокой степенью восьмигранной расстройства позиций в выращенных кристаллах. Для изучения влияния упорядочения В-позиций на магнитные свойства и ширины линии ФМР, вибрационные образцы магнитометрии и широкополосных ФМР измерений были выполнены как для упорядоченных и неупорядоченных фаз литиевого феррита. Значение намагниченности насыщения для обоих фаз ~290 emu / см3. Одиночный профиль в режиме ФМР наблюдается для обеих фаз с небольшим искажением. Ширина линии характеристики упорядоченной и неупорядоченной фаз литиевых ферритов сравниваются, и следует отметить, что ширина линии не зависит от катионного упорядочения. Оба фазы проявляют малую ширину линии (Э около 26 на 30 ГГц) и эффективный параметр демпфирования, как, для только выращенных, так и для отожженных образцов, определяется как 0,0021 ± 0,0001.

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Держатели документа:
Univ Alabama, Dept Phys & Astron, MINT Ctr, Tuscaloosa, AL 35487 USA.
Univ Alabama, Dept Chem, MINT Ctr, Tuscaloosa, AL 35487 USA.
Jawaharlal Nehru Ctr Adv Sci Res, Int Ctr Mat Sci, Bangalore 560064, Karnataka, India.
Univ Houston, Texas Ctr Superconduct, Houston, TX 77204 USA.
Univ Houston, Dept Phys, Houston, TX 77204 USA.
SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Pachauri, Neha; Khodadadi, B.; Althammer, M.; Singh, A.V.; Loukya, B.; Datta, R.; Iliev, M.; Bezmaternykh, L. N.; Безматерных, Леонард Николаевич; Gudim, I. A.; Гудим, Ирина Анатольевна; Mewes, T.; Gupta, A.; NSF [ECCS-1102263]; NSF-CAREER [0952929]; ICMS
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Size effects in the magnetic properties of ε-Fe2O3 nanoparticles / A. A. Dubrovskiy [et al.] // J. Appl. Phys. - 2015. - Vol. 118, Is. 21. - Ст. 213901, DOI 10.1063/1.4936838. - Cited References: 41. - We are grateful to Professor Yu. L. Raikher for useful discussions and M. A. Kazakova for the help in sample preparation. - This work was supported by Russian Federal Agency of Scientific Organizations (Project No. V.44.1.15) and scientific and educational center of energy-efficient catalysis of NSU . - ISSN 0021-8979

РУБ Physics, Applied
Рубрики:
FERROMAGNETIC-RESONANCE
   OXIDE NANOPARTICLES
   WAVE ABSORBER
   IRON
   TRANSITION
   TEMPERATURE
   PARTICLES
   PHASE
   FNANOWIRES
   FIELD
Аннотация: We report the results of comparative analysis of magnetic properties of the systems based on ε-Fe2O3, nanoparticles with different average sizes (from ∼3 to 9 nm) and dispersions. The experimental data for nanoparticles higher than 6-8 nm in size are consistent with the available data, specifically, the transition to the magnetically ordered state occurs at a temperature of ∼500 K and the anomalies of magnetic properties observed in the range of 80-150 K correspond to the magnetic transition. At the same time, Mossbauer and ferromagnetic resonance spectroscopy data as well as the results of static magnetic measurements show that at room temperature all the investigated samples contain ε-Fe2O3 particles that exhibit the superparamagnetic behavior. It was established that the magnetic properties of nanoparticles significantly change with a decrease in their size to ∼6 nm. According to high-resolution electron microscopy and Mossbauer spectroscopy data, the particle structure can be attributed to the ε-modification of trivalent iron oxide; meanwhile, the temperature of the magnetic order onset in these particles is increased, the well-known magnetic transition in the range of 80-150 K does not occur, the crystallographic magnetic anisotropy constant is significantly reduced, and the surface magnetic anisotropy plays a decisive role. This is apparently due to redistribution of cations over crystallographic positions with decreasing particle size, which was established using Mössbauer spectra. As the particle size is decreased and the fraction of surface atoms is increased, the contribution of an additional magnetic subsystem formed in a shell of particles smaller than ∼4 nm becomes significant, which manifests itself in the static magnetic measurements as paramagnetic contribution. © 2015 AIP Publishing LLC.

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Держатели документа:
Kirensky Institute of Physics, Krasnoyarsk, Russian Federation
International Laboratory of High Magnetic Fields and Low Temperatures, Wroclaw, Poland
Siberian Federal University, Krasnoyarsk, Russian Federation
Boreskov Institute of Catalysis, Novosibirsk, Russian Federation
Novosibirsk State University, Novosibirsk, Russian Federation

Доп.точки доступа:
Dubrovskiy, A. A.; Дубровский, Андрей Александрович; Balaev, A. D.; Балаев, Александр Дмитриевич; Shaykhutdinov, K. A.; Шайхутдинов, Кирилл Александрович; Bayukov, O. A.; Баюков, Олег Артемьевич; Pletnev, O. N.; Плетнев, Олег Николаевич; Yakushkin, S. S.; Bukhtiyarova, G. A.; Martyanov, O. N.
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Sadreev, A. F.
Feshbach projection formalism for transmission through a time-periodic potential / A. F. Sadreev // Phys. Rev. E. - 2012. - Vol. 86, Is. 5. - Ст. 56211, DOI 10.1103/PhysRevE.86.056211. - Cited References: 33 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
NUCLEAR REACTIONS
   UNIFIED THEORY
   QUANTUM
   FIELD
   SCATTERING
   SYSTEM
   STATES
Аннотация: The Feshbach projection formalism is applied to consider quantum transmission through a tight-binding wire subject to a time-periodic potential. The wire is coupled with two leads via the coupling constant v(C). The periodicity of the potential implies an additional temporal dimension that reduces the problem to stationary transmission through an effectively two-dimensional lattice system. The non-Hermitian effective Hamiltonian is formulated. Thist allows us to trace the redistribution of resonance positions and resonance widths with the growth of v(C) from the weak-coupling to the strong-coupling regime.

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Садреев, Алмаз Фаттахович
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10.

Rasskazov, I. L.
Surface plasmon polaritons in curved chains of metal nanoparticles / I. L. Rasskazov, S. V. Karpov, V. A. Markel // Phys. Rev. B. - 2014. - Vol. 90, Is. 7. - Ст. 75405, DOI 10.1103/PhysRevB.90.075405. - Cited References: 34. - This research was supported in part by the US National Science Foundation under Grant DMS1216970, by the Russian Academy of Sciences under the Grants 24.29, 24.31, III. 9.5, 43, SFU (101), and also by the Russian Ministry of Education and Science under the Contract 1792. . - ISSN 1098-0121. - ISSN 1550-235X

РУБ Physics, Condensed Matter
Рубрики:
LINEAR-CHAINS
   DISPERSION-RELATIONS
   ARRAYS
   RESONANCES
   FIELD
Аннотация: We investigate numerically the propagation of steady-state monochromatic surface plasmon polaritons (SPPs) in curved chains of metal nanoparticles of various spheroidal shapes. We discuss the SPP propagation (decay of the amplitude), the polarization conversion due to coupling of orthogonally polarized SPPs, and the electromagnetic field localization in the near-field vicinity of a chain.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk, Russia
Siberian State Aerosp Univ, LV Kirensky Phys Inst, Krasnoyarsk, Russia
Univ Penn, Dept Radiol, Philadelphia, PA 19104 USA
Univ Penn, Dept Bioengn, Philadelphia, PA 19104 USA
Univ Penn, Grad Grp Appl Math & Computat Sci, Philadelphia, PA 19104 USA

Доп.точки доступа:
Karpov, S. V.; Карпов, Сергей Васильевич; Markel, V. A.; Рассказов, Илья Леонидович; US National Science Foundation [DMS1216970]; Russian Academy of Sciences [24.29, 24.31, III. 9.5, 43, SFU (101)]; Russian Ministry of Education and Science [1792]
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