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Вид документа : Однотомное издание
Шифр издания :
Автор(ы) : Ovchinnikov S. G., Makarov I. A., Shneyder E. I., Togushova Yu.N., Gavrichkov V. A., Korshunov M. M.
Заглавие : Magnetic mechanisms of pairing in strongly correlated electron system of copper oxides [Electronic resource]
Место публикации : arXiv. - 2015. - Ст.eprint arXiv:1510.08640
Примечания : Cited References: 214. - The authors acknowledge support from FCP Scientific and Research-and-Educational Personnel of Innovative Russia for 2009-2013 (GK 16.740.12.0731 and GK 16.740.11.0740), RFBR (Grants 12-02-31534 and 12-02-31597), Siberian Federal University (Theme #F-11), Governmental support of leading scientific schools of Russia (NSh-1044.2012.2), Program of SB RAS #44, Presidium of RAS program #20.7. EIS, IAM, and MMK are grateful to The Dynasty Foundation and ICFPM forthe financial supportIn book.: Recent advances in superconductivity research", ed. by C.B. Taylor, 321 p., Nova Science Publishers Inc. New York, 2013 ISBN: 978-1-62618-406-0, Chapter 6
Предметные рубрики: Condensed matter-- Strongly correlated electrons
Superconductivity
Ключевые слова (''Своб.индексиров.''): strong electronic correlations--cuprates--hubbard operators--electronic structure--quantum phase transitions--magnetic mechanism of pairing
Аннотация: The multielectron LDA+GTB approach has been developed to calculate electronic structure of strongly correlated cuprates. At low energies the effective Hamiltonian of the t−t′−t"−t⊥−J∗−J⊥-model has been derived with parameters coming from the ab initio calculation for LSCO. The electronic structure of LSCO has been calculated self-consistently with the short-range antiferromagnetic order for various doping level. Two Lifshitz-type quantum phase transitions with Fermi surface topology changes have been found at dopings xc1=0.15 and xc2=0.24. Its effect on normal and superconducting properties has been calculated. The interatomic exchange parameter and its pressure dependence has been calculated within LDA+GTB scheme. The magnetic mechanisms of d-wave pairing induced by static and dynamical spin correlations are discussed. Simultaneous treatment of magnetic and phonon pairing results in the conclusion that both contributions are of the same order. For two layer cuprates like YBCO the interlayer hopping and exchange effects on the electronic structure and doping dependence of Tc is discussed as well as the Coulomb interaction induced mechanism of pairing.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Korovushkin M. M.
Заглавие : Energy structure of high-temperature superconductors with the intersite Coulomb interaction
Коллективы : Russian Academy of Sciences; Russian Foundation for Basic Research [07-02-00226]; RAS; Dynasty Foundation
Место публикации : Eur. Phys. J. B: SPRINGER, 2009. - Vol. 69, Is. 2. - P219-227. - ISSN 1434-6028, DOI 10.1140/epjb/e2009-00141-4
Примечания : Cited References: 26. - This study was supported by the program "Quantum physics of condensed matter"of the Presidium of the Russian Academy of Sciences (RAS); the Russian Foundation for Basic Research (project no. 07-02-00226); the Siberian Branch of RAS (Interdisciplinary Integration project no. 53). One of authors (M. K.) would like to acknowledge the support of the Dynasty Foundation.
Предметные рубрики: HIGH-TC SUPERCONDUCTIVITY
SINGLE-BAND
ELECTRON CORRELATIONS
CU OXIDES
J MODEL
DERIVATION
Ключевые слова (''Своб.индексиров.''): strongly correlated electron systems; heavy fermions--narrow-band systems; intermediate-valence solids--cuprate superconductors--strongly correlated electron systems heavy fermions--narrow-band systems intermediate-valence solids--cuprate superconductors--emery model--energy structures--fermi state--integrated density--root mean squares--spectral intensity--copper compounds--corundum--coulomb interactions--electrons--fermions--high temperature superconductors--oxide superconductors--superconductivity
Аннотация: The effect of the intersite Coulomb interaction of fermions on the ground state and energy structure of high-temperature superconductors is considered within the three-band Emery model using an extended basis of the irreducible operators orthogonal on Mori. The proposed theory allows prediction of bands of the fluctuation states whose spectral intensity grows with an increase in the root-mean-square fluctuations of the occupation numbers. The increase in these fluctuations in high-temperature superconductors upon doping plays a key role in redistribution of the integrated density of the Fermi states.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Donkov A., Eremin I., Knolle J., Korshunov M. M.
Заглавие : Electron-Phonon Interaction and Phonon Renormalization in the Lamellar Cobaltate NaxCoO2
Разночтения заглавия :авие SCOPUS: Electron-phonon interaction and phonon renormalization in the lamellar cobaltate Na x CoO 2
Место публикации : J. Supercond. Nov. Magn.: SPRINGER, 2009. - Vol. 22: International Conference on Quantum Phenomena in Complex Matters (JUL 26-AUG 01, 2008, Erice, ITALY), Is. 1. - P37-40. - ISSN 1557-1939, DOI 10.1007/s10948-008-0372-6
Примечания : Cited References: 16
Предметные рубрики: SUPERCONDUCTIVITY
Ключевые слова (''Своб.индексиров.''): electron-phonon interaction--superconductivity--sodium cobaltate--electron-phonon interaction--sodium cobaltate--superconductivity--brillouin zones--cobaltate--conducting electrons--conduction electrons--doping dependences--feedback effects--matrix elements--phonon frequencies--phonon modes--raman experiments--renormalization--sodium cobaltate--sodium cobaltates--atoms--cobalt compounds--critical current density (superconductivity)--electric conductivity--electron-phonon interactions--electrons--flow interactions--penetration depth (superconductivity)--sodium--superconductivity--phonons
Аннотация: We study theoretically the electron-phonon interaction in NaxCoO2. For the A(1g) and E-1g phonon modes found in Raman experiments, we calculate the matrix elements of the electron-phonon interaction. Analyzing the feedback effect of the conduction electrons on the phonon frequency., we investigate the doping dependence of these two phonon modes. Due to the momentum dependence of the electron-phonon interaction, we find the strongest renormalization of the E-1g mode around the Brillouin zone boundary which should be observed in the neutron scattering. At the same time, the A(1g) mode shows the strongest coupling to the conducting electrons around the G point and reveals its doping dependence in the Raman experiments. Our results shed light on the possible importance of the electron-phonon interaction in the lamellar sodium cobaltates.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kveglis L. I., Abylkalykova R. B., Noskov F. M., Arkhipkin V. G., Musikhin V. A., Cherepanov V. N., Niavro A. V.
Заглавие : Local electron structure and magnetization in beta-Fe86Mn13C
Коллективы : International Conference on Nano-structures Self-Assembling
Разночтения заглавия :авие SCOPUS: Local electron structure and magnetization in β- Fe86Mn13C
Место публикации : Superlattices Microstruct. - 2009. - Vol. 46, Is. 1-2. - P.114-120. - ISSN 0749-6036, DOI 10.1016/j.spmi.2008.11.023
Примечания : Cited References: 12
Предметные рубрики: PHASE
Ключевые слова (''Своб.индексиров.''): frank-kasper structure--local electron structure--spin-polarized electronic conditions--frank-kasper structure--local electron structure--spin-polarized electronic conditions--austenite grain--austenitic--c-steel--close packed structures--dynamic loadings--electron structures--frank-kasper structure--induction method--intergranular--local electron structure--local electronic structures--local magnetization--self-consistent field--spin-polarized electronic conditions--transition regions--austenite--diffraction--electronic structure--electrons--magnets--manganese--manganese compounds--optical microscopy--phase transitions--spin dynamics--steel--textures--magnetization--frank-kasper structure--local electron structure--spin-polarized electronic conditions--austenite grain--austenitic--c-steel--close packed structures--dynamic loadings--electron structures--frank-kasper structure--induction method--intergranular--local electron structure--local electronic structures--local magnetization--self-consistent field--spin-polarized electronic conditions--transition regions--austenite--diffraction--electronic structure--electrons--magnets--manganese--manganese compounds--optical microscopy--phase transitions--spin dynamics--steel--textures--magnetization
Аннотация: The aim of the work is to elucidate the origin of magnetization presence in austenitic Fe86Mn13C steel after dynamic loading. The observation of microstructures in the region of transition from FCC austenitic Fe86Mn13C steel to FK12 + FK14 type of Frank-Kasper tetrahedral close packed structure is described. We used the methods of optical microscopy, electron microscopy, electron diffraction and X-ray-diffraction to investigate the phase transition region. Changes of local magnetization were estimated by induction method. To explain the magnetization origin of the sample consisting of austenite grains and intergranular layers, which have Frank-Kasper's structure (FK12 + FK14) typical of beta-Fe-Mn, the local electronic structure has been investigated for intergranular layers. The local electron structure of FK12 and FK14 clusters have been simulated by method of self-consistent field to understand the nature of non-zero magnetization of the Fe87Mn13 alloy exposed by shock deformation. It was shown, that numbers of states with upward and downward spins are not equal. Therefore the occurrence of magnetization is possible. (c) 2009 Published by Elsevier Ltd
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ovchinnikov S. G., Korshunov M. M., Shneyder E. I.
Заглавие : Lifshits Quantum Phase Transitions and Rearrangement of the Fermi Surface upon a Change in the Hole Concentration in High-Temperature Superconductors
Коллективы : Presidium of the Russian Academy of Sciences [5.7]; Russian academy of Sciences; Russian Foundation for Basic Research [09-02-00127]
Разночтения заглавия :авие SCOPUS: Lifshits quantum phase transitions and rearrangement of the fermi surface upon a change in the hole concentration in high-temperature superconductors
Место публикации : J. Exp. Theor. Phys. - 2009. - Vol. 109, Is. 5. - Pю775-785. - ISSN 1063-7761, DOI 10.1134/S1063776109110077
Примечания : Cited References: 71. - The authors thank A. A. Kordyuk for discussion of the results and T. M. Ovchinnikova for technical assistance in data processing.This study was supported by the program "Quantum Physics of Condensed Media" of the Presidium of the Russian Academy of Sciences (project no. 5.7), integrated project no. 40 of the Siberian Branch-Ural Division of the Russian academy of Sciences, and the Russian Foundation for Basic Research (project no. 09-02-00127).
Предметные рубрики: T-J MODEL
CORRELATED ELECTRONS
COPPER OXIDES
SPECTRUM
PSEUDOGAP
METAL
FLUCTUATIONS
EXCITATIONS
INSULATOR
SYSTEMS
Ключевые слова (''Своб.индексиров.''): critical points--cuprates--electron heat--electron structures--experimental data--high-t--layered cuprates--low temperatures--normal phase--quantum oscillations--quantum phase transitions--sign reversal--strong correlation--copper compounds--electronic structure--equations of state--fermi surface--fermions--high temperature superconductors--hole concentration--superconductivity--surface structure--phase transitions
Аннотация: Changes in the electronic structure in the normal phase of high-T-c superconductors (HTSCs), viz., layered cuprates, are considered. The results of LDA + GTB calculations of the electron structure and the Fermi surface of La2-xSrxCuO4 one-layer cuprates with allowance for strong correlations are compared with ARPES and quantum oscillations data. Two critical points x(c1) and x(c2) are discovered at which the rearrangement of the Fermi surface takes place. In the vicinity of these points, changes in the thermodynamic properties at low temperatures are determined using the Lifshits ideology concerning 2.5-order quantum phase transitions. A singularity delta(C/T) proportional to (x-x(e))(1/2) in the electron heat capacity agrees well with the available experimental data in the vicinity of x(c1)approximate to 0.15. Sign reversal of the Hall constant upon doping is also considered qualitatively.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : SANDALOV I. S., YERUKHIMOV M. S.
Заглавие : EFFECT OF MIXING THE STATES OF CONDUCTIVITY ELECTRONS AND IMPURITY D(F) IONS ON ELECTRIC-CONDUCTIVITY
Место публикации : Zhurnal Eksperimentalnoi Teor. Fiz.: MEZHDUNARODNAYA KNIGA, 1982. - Vol. 82, Is. 1. - P246-253. - ISSN 0044-4510
Примечания : Cited References: 17
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Baksheev N. V., Mushailov E. S.
Заглавие : Spin reorientation effect of conductive electrons in iron matrix doped with cobalt
Место публикации : Fiz. Tverd. Tela. - 1981. - Vol. 23, Is. 2. - P.631-633. - ISSN 0367-3294
Примечания : Cited References: 9
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Zaslavsky G. M., Kolovsky A. R.
Заглавие : Nonlinear resonance and stochasticity in a system of surface electrons
Место публикации : Zhurnal Eksperimentalnoi Teor. Fiz. - 1985. - Vol. 88, Is. 5. - P.1551-1559. - ISSN 0044-4510
Примечания : Cited References: 25
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Ovchinnikov S. G.
Заглавие : Comparison of electronic structure, magnetic mechanism, and symmetry of pairing in ruthenates and cuprates
Место публикации : Ruthenate and rutheno-cuprate materials: unconventional superconductivity, magnetism and quantum phase transitions. Ser. lecture notes in physics: Springer Verlag, 2002. - Vol. 603: International Conference on Ruthenate and Rutheno-Cuprate Materials (OCT 25-27, 2001, VIETRI SUL MARE, ITALY). - P.239-255. - ISBN 0075-8450. - ISBN 3-540-44275-8
Примечания : Cited References: 48
Предметные рубрики: METAL-INSULATOR-TRANSITION
SUPERCONDUCTOR SR2RUO4
LAYERED PEROVSKITE
BAND-STRUCTURE
CORRELATED ELECTRONS
MOTT TRANSITION
COPPER OXIDES
HUBBARD-MODEL
RUSR2GDCU2O8
CA2-XSRXRUO4
Аннотация: A generalized tight-binding (GTB) method is developed to calculate quasi-particle band structure with explicit account for strong electronic correlations. The GTB method combines exact diagonalization of the multi-orbital P-d model Hamiltonian within the unit cell and the perturbation theory in the Hubbard X-operators form for the inter-cell hopping and interactions. For undoped cuprates we obtain the valence band structure in excellent agreement with ARPES data, evolution of the band structure with doping with an in-gap state at small doping, impurity-like band at higher doping to optimally doped metal. The effective low-energy Hamiltonian has the form of singlet-triplet t-J model. For ruthenates the t-J-I model is proposed with both antiferromagnetic J and ferromagnetic I couplings. In the strong correlation limit, the mean-field theory of superconductivity results in d-wave singlet pairing mediated by J (cuprates) and p-wave triplet one mediated by I (ruthenates) with ratio T-c((d))/T-c((p)) similar to 100 due to the different symmetry of the gap. The competition of ferromagnetic and antiferromagnetic order in rutheno-cuprates is also discussed.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Gavrichkov V. A., Kuz'min E. V., Ovchinnikov S. G.
Заглавие : Electronic structure and order parameter symmetry in high-temperature superconductors
Место публикации : Uspekhi Fiz. Nauk: MEZHDUNARODNAYA KNIGA, 2000. - Vol. 170, Is. 2. - P.189-192. - ISSN 0042-1294
Примечания : Cited References: 31
Предметные рубрики: CORRELATED ELECTRONS
HUBBARD-MODEL
OXIDES
LA2-XSRXCUO4
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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Ovchinnikov S. G., Sandalov I. S.
Заглавие : The band-structure of strong-correlated electrons in LA2-XSRXCUO4 and YBA2CU3O7-Y
Место публикации : Physica C. - 1989. - Vol. 161, Is. 5-6. - P.607-617. - ISSN 0921-4534, DOI 10.1016/0921-4534(89)90397-3
Примечания : Cited References: 20
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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : OVCHINNIKOV S. G.
Заглавие : SPECTRUM OF ELECTRONS IN AN ANTIFERROMAGNETIC SEMICONDUCTOR
Место публикации : JOURNAL OF PHYSICS C-SOLID STATE PHYSICS: IOP PUBLISHING LTD, 1987. - Vol. 20, Is. 7. - P933-940. - ISSN 0022-3719, DOI 10.1088/0022-3719/20/7/008
Примечания : Cited References: 19
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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : KOLOVSKII A. R.
Заглавие : QUASIENERGY FUNCTIONS OF ELECTRONS IN A SEMICONDUCTOR AFFECTED BY AN EXTERNAL ELECTROMAGNETIC-FIELD
Место публикации : Phys. Lett. A: ELSEVIER SCIENCE BV, 1990. - Vol. 143, Is. 3. - P129-133. - ISSN 0375-9601, DOI 10.1016/0375-9601(90)90663-9
Примечания : Cited References: 11
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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : OVCHINNIKOV S.G.
Заглавие : THE INFLUENCE OF THE ANTIFERROMAGNETISM ON THE ELECTRONIC-STRUCTURE OF LA2CUO4
Разночтения заглавия :авие SCOPUS: The influence of the antiferromagnetism on the electronic structure of La2CuO4
Место публикации : J. Supercond.: PLENUM PUBL CORP, 1995. - Vol. 8: University-of-Miami Workshop on High-Temperature Superconductivity - Physical Properties and Mechanisms (JAN 05-11, 1995, CORAL GABLES, FL), Is. 5. - P675-676. - ISSN 0896-1107, DOI 10.1007/BF00727473
Примечания : Cited References: 15
Предметные рубрики: OXIDES
MODEL
Ключевые слова (''Своб.индексиров.''): electron correlations--electron structure--spin fluctuations--electron correlations--electron structure--spin fluctuations--antiferromagnetism--band structure--calculations--correlation theory--electrons--lanthanum compounds--paramagnetism--perturbation techniques--antiferromagnetic phase--electron correlations--intercluster interactions--spin fluctuations--electronic structure
Аннотация: The quasiparticle approach for electronic structure calculations considering strong electron correlations is given. The exact diagonalization of a multiband Hubbard Hamiltonian for a small cluster is combined with perturbation theory for intercluster hopping. The band structure of paramagnetic and antiferromagnetic La2CuO4 are discussed.
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : SANDALOV I. S., RICHTER M.
Заглавие : FLUX PHASE, NEEL ANTIFERROMAGNETISM, AND SUPERCONDUCTIVITY IN THE T-J MODEL
Разночтения заглавия :авие SCOPUS: Flux phase, Neel antiferromagnetism, and superconductivity in the t-J model
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1994. - Vol. 50, Is. 17. - P12855-12865. - ISSN 0163-1829, DOI 10.1103/PhysRevB.50.12855
Примечания : Cited References: 27
Предметные рубрики: HUBBARD-MODEL
INSTABILITY
ELECTRONS
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sandalov I. S., Richter M.
Заглавие : Local gauge invariance versus slave boson-like representations in systems with strongly correlated electrons
Место публикации : Phys. Scr.: ROYAL SWEDISH ACAD SCIENCES, 1996. - Vol. 54, Is. 4. - P410-416. - ISSN 0281-1847, DOI 10.1088/0031-8949/54/4/020
Примечания : Cited References: 38
Предметные рубрики: T-J MODEL
VALENCE-BOND STATE
DIAGRAM TECHNIQUE
ANDERSON MODEL
HUBBARD MODEL
SUPERCONDUCTIVITY
LIMIT
PHASE
Аннотация: The flux phase solutions in the t-J model the gauge theories with Chern-Simons term, promising new exciting physics, are so far obtained only within slave-boson (or fermion) approaches, where local gauge invariance is not taken into account exactly. We inspect the possibility to do this, mainly, in the example of the t-J model The analysis of different parametrizations in the functional representation shows that (i) calculations which take into account constraints for the number of on-site-available states are describing quasiparticles in terms of the wrong local statistics, and contain gauge non-invariant objects; (ii) application of the projection technique in the slave-boson(fermion) representation reproduces the correct statistics, and is exactly equivalent to the conventional diagram technique for Hubbard operators. In the language of slave bosons this means that the Fourier transformation leading to Bloch states should be made only after accounting constraints in the measure of functional integral.
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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shneyder E. I., Ovchinnikov S. G.
Заглавие : Isotope effect in the model of strongly correlated electrons with the magnetic and phonon superconducting pairing mechanisms
Коллективы : Presidium of the Russian Academy of Sciences [40]; Russian Academy of Sciences; Russian Foundation for Basic Research [09-02-00127]
Место публикации : J. Exp. Theor. Phys. - 2009. - Vol. 109, Is. 6. - P.1017-1021. - ISSN 1063-7761, DOI 10.1134/S1063776109120139
Примечания : Cited References: 42. - This study was financed under programs 5.7 and "Quantum Physics of Condensed Matter" of the Presidium of the Russian Academy of Sciences, integration project no. 40 of the Siberian Branch and Ural Division of the Russian Academy of Sciences, and the Russian Foundation for Basic Research (project no. 09-02-00127).
Предметные рубрики: CUPRATE SUPERCONDUCTORS
PHASE-TRANSITIONS
3-CENTER INTERACTIONS
HUBBARD-MODEL
TEMPERATURE
LA2-XSRXCUO4
SYMMETRY
EXCHANGE
COPPER
BI2SR2CACU2O8+DELTA
Ключевые слова (''Своб.индексиров.''): ab initio calculations--calculated values--cooper pairing--isotope effect--magnetic mechanisms--order of magnitude--pairing mechanism--phonon mechanism--strongly correlated electrons--superconducting pairing mechanism--superconducting state--type theory--carrier mobility--electron-phonon interactions--isotopes--superconductivity--superconducting magnets
Аннотация: Peculiarities of the temperature isotope effect in a BCS-type theory describing the exchange and phonon mechanisms of Cooper pairing in a system of strongly correlated electrons are considered. The electron-phonon interaction constant is determined from the fitting of the calculated value of the isotope-effect index to the observed value with the parameters of La(2 - x) Sr (x) CuO(4) obtained from ab initio calculations. The value of this constant indicates that the contribution from the traditional pairing mechanism to the superconducting state is of the same order of magnitude as the contribution from the magnetic mechanism.
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Kolovsky A. R., Zaslavsky G. M.
Заглавие : A non-linear resonance in a system of surface-state electrons bound to the helium surface
Место публикации : Phys. Lett. A. - 1984. - Vol. 105, Is. 9. - P.483-486. - ISSN 0375-9601, DOI 10.1016/0375-9601(84)91042-9
Примечания : Cited References: 24
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19.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : SANDALOV I. S., PODMARKOV A. N.
Заглавие : THE AMPLIFICATION OF THE KONDO EFFECT IN NORMAL METALS BY A MAGNETIC-FIELD
Разночтения заглавия :авие SCOPUS: The amplification of the Kondo effect in normal metals by a magnetic field
Место публикации : JOURNAL OF PHYSICS F-METAL PHYSICS: IOP PUBLISHING LTD, 1986. - Vol. 16, Is. 12. - P2153-2166. - ISSN 0305-4608, DOI 10.1088/0305-4608/16/12/023
Примечания : Cited References: 17
Ключевые слова (''Своб.индексиров.''): electrons - scattering--conduction electron--kondo effect--metals and alloys
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : ZAKHAROV Y. V., TITOV L. S.
Заглавие : THE ENERGY-SPECTRUM OF CONDUCTION ELECTRONS IN A FERROMAGNET WITH DOMAIN-STRUCTURE
Место публикации : Solid State Commun.: PERGAMON-ELSEVIER SCIENCE LTD, 1985. - Vol. 53, Is. 5. - P447-450. - ISSN 0038-1098, DOI 10.1016/0038-1098(85)91054-3
Примечания : Cited References: 8
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