Моделирование фазовых переходов и динамика вихревой структуры слоистых высокотемпературных сверхпроводников
Диссертация
На фазовой диаграмме магнитное поле — температура Н-Т область смешанного состояния сверхпроводников II рода ограничена зависимостями от температуры верхнего НС2(Т) и нижнего Нс1(Т) критических полей. При промежуточных значениях величины магнитного поля в сверхпроводник частично проникает нормальная фаза в виде магнитных вихрей (абрикосовских вихрей). При определенных условиях проникающие… Читать ещё >
Список литературы
- А.А. Абрикосов, О магнитных свойствах сверхпроводников 2-ого рода, ЖЭТФ 32, 1442−1452 (1957).
- D.J. Bishop, P.L. Gamrael, L.F. Schmeemeyer, J.V. Waszczak, Flux lattice melting in YBa2Cu307, Bull. Am. Phys. Soc. 33, 606 (1988).
- D.R. Nelson, Vortex entanglement in high-rc superconductors, Phys. Rev. Lett. 60, 1973−1976 (1988).
- G. Blatter, M.V. Feigel’man, V.B. Geshkenbem, A.I. Larkin, V.M. Vinokur, Vortices in high-temperature superconductors, Rev. mod. Phys. 66, 1 125−13 881 994).
- M.P.A. Fisher, Vortex-glass superconductivity: a possible new phase in bulk high-7- oxides, Phys. Rev. Lett. 62, 1415−1418 (1989).
- D.S. Fisher, M.P.A. Fisher, D.A. Huse, Thermal fluctuations, quenched behavior, phase transitions, and transport in type-Il superconductors, Phys. Rev. В 43, 130−159 (1991).
- А.И. Ларкин, Эффект ноднородностей на структуру смешанного состояния, ЖЭТФ 58, 1466−1470 (1970).
- V.M. Vmokur, M.V. Feigel’man, V.B. Geshkenbein, A.I. Larkin, Resistivity of high-7с superconductors in a vortex-liquid state, Phys Rev. Lett. 65, 259−262 (1990).
- B.A. Марченко, А. В. Никулов, Зависимость электрической проводимости ViGe от магнитного поля в окрестности Нс2, Письма в ЖЭТФ 34, 19−21 (1981)
- A.V. Nikulov, Existenceof the Abrikosov vortex state in two-dimensional type-II superconductors without pinning, Phys. Rev. В 52, 10 429−10 4 321 995).
- E. Brezin, D.R. Nelson, A. Thiavill, Fluctuation effects near Hc2 in type-II superconductors, Phys. Rev. В 31, 7124−7132 (1985).
- M.V. Feigel’man, V.B. Geshkenbein, A.I. Larkin, Pinning and creep in layered superconductors, Physica С 167, 177−187 (1990).
- L.I. Glazman, A.E. Koshelev, Thermal fluctuations and phase transitions in the vortex state of a layered superconductor, Phys. Rev. В 43, 2835−2843 (1991).
- D.A. Huse, M.P.A. Fisher, D.S. Fisher, Are superconductors really superconducting?, Nature 358, 553−559 (1992).
- D.J. Bishop, P L. Gammel, D.A. Huse, V.A. Murray, Magnetic flux-line lattices and vortices in the copper oxide superconductors, Science 255, 165−172 (1992).
- R. Cubitt, E.M. Forgan, G. Yang et al., Direct observation of magnetic flux lattice melting and decomposition in the lngh-Tc superconductor Bi2. isSr? 95СаСи20н, л Nature (London) 365, 407−411 (1993).
- P. Батто, Jl.Я. Винников, Л. А. Гуревич, М. В. Дугаев, Одновременное наблюдение вихрей и дислокаций в тонких монокристаллах BSCCO (2212), Письма в ЖЭТФ 62. 139−143 (1995).
- L.M. Генкин, А. В. Окомельков, Влияние взаимодействия магнитных вихрей на кинетику крипа магнитного потока в сверхпроводниках второго рода, ЖЭТФ 107. 784−795 (1995).
- Н. Safar, P.L. Gammel, D.A. Huse, D.J. Bishop, J.P. Rice, D.M. Ginsberg, Experimental evidence for a first-order vortex-lattice-melting transition in untwinned single crystal)'Ва2Сщ ()7, Phys. Rev. Lett. 69, 824−827 (1992).
- W.K. Kwok, S. Fleshier, U. Welp, V.M. Vmokur, J. Downey, G.W. Crabtree, M.M. Miller, Vortex lattice melting in untwinned and twinned single crystals of YBa2Cu307Phys. Rev. Lett. 69, 3370−3373 (1992).
- M. Charalambous, J. Chaussy, P. Lejay, V. Vmokur, Superheating of the Abnkosov flux lattice, Phys. Rev. Lett. 71, 436−439 (1993).
- W. Jiang, N.-C. Yeh, D.S. Reed, U. Kriplam, F. Holtzberg, Possible origin of anisotropic resistive hysteresis in the vortex state of untwinned YBa2Cu307 single crystal, Phys. Rev. Lett. 74, 1438−1441 (1994).
- M. Khaykovich, E. Zeldov, D. Majer, et al, Vortex-lattice phase transitions in Bi2Sr2CaCu208 crystals with different oxygen stoichiometry, Phys. Rev. Lett. 76, 2555−2558 (1996).
- D.R. Nelson, The Vortex State, 41−61 (Kluwer, Dordrecht, 1994) — D R. Nelson, Vortex lattice melts like ice. Nature 375, 356−357 (1995).
- E. Zeldov, D. Majer, A.I. Larkin, V.B. Geshkenbem, H. Shtnkman, M. Konczykowski, V.M. Vinokur, N. Clukumoto, Europhys. Lett. 30, 367 (1995).
- D. Majer, E. Zeldov, M. Konczykowski, Separation of the irreversibility and melting lines in Bi2Sr2('aCihOs crystals, Phys. Rev. Lett. 75, 1 166−1 169 (1995).
- D. Majer, B. Khaykovich, T.W. Li, M. Konczykowski, E. Zeldov, P.H. Kes, Czehoslovak Journal of Physics 46, Suppl. S3, 1563 (1996).
- T. Hanaguri et al., Crossover from the first-order vortex phase transition to the peak effect in Bi2Sr2CaCu2Oy having different oxygen contents, Physica C 256, 111−118 (1996).
- T. Hanaguri, T. Tsuboi, A. Maeda, Y. Kotaka, J. Shimoyama, K. Kishio, Czehoslovak Journal of Physics 46, Suppl. S3, 1559 (1996).
- R. Liang, D.A. Bonn, W.N. Hardy, Discontinuity of reversible magnetization in untwinned YBCO single crystals at the first order vortex melting transition, Phys. Rev. Lett. 76, 835−838 (1996).
- T. Nishizaki, Y. Onodera, N. Kobayashi, H. Asaoka, H. Takei, Magnetization jump and the vortex-lattice melting transition in YBa2Cu3Ov, Phys. Rev. B 53, 82−85 (1996).
- D.T. Fuchs, E. Zeldov, D. Majer, R.A. Doyle, T. Tamegai, S. Ooi, M. Konczykowski, Czehoslovak Journal of Physics 46, Suppl. S3, 1583 (1996).
- M.T. Wylie, E.M. Forgan, S. Lloyd, S. Lee, R. Cubitt, M. Yethiraj, H.A. Mook, Czehoslovak Journal of Physics 46, Suppl. S3, 1569 (1996).
- H.-R. Ma, S.T. Chui, Mechanism of flux-line lattice melting of lugh-7r superconductors, Phys. Rev. Lett. 67, 505−508 (1991).
- S. Sengupta, C. Dasgupta, H.R. Krishnamurthy, G.I. Menon, T.V. Ramakrishnan, Freezing of the vortex liquid in high-7'r superconductors: a density-functional approach, Phys. Rev. Lett. 67, 3444−3447 (1991).
- Y.-H. Li, S. Teitel, Vortex-line-lattice melting, vortex-line cutting, and entanglement in model highsuperconductors, Phys. Rev. Lett. 66, 3301−3304 (1991).
- Y.-H. Li, S. Teitel, Vortex-lme fluctuations in metal high-temperature supercondctors, Phys. Rev. B 47, 359−372 (1 993).
- S. Ryu, S. Doniach, G. Deutscher, A. Kapitulnik, Monte Carlo simulation of flux lattice melting in a model high-Tc superconductor, Phys. Rev. Lett. 68, 710−713 (1992).
- R.E. Hetzel, A. Sudbo, D.A. Huse, First-order melting transition of an Abnkosov vortex lattice, Phys. Rev. Lett. 69, 518−521 (1992).
- J.W. Schneider, S. Schafroth, P.F. Meier, Simulated flux-lattice melting and magnetic-field distributions in high-rc superconductors, Phys. Rev. B 52, 3790−3794 (1995).
- K. Yates, D.J. Newman, P.A.J, de Groot, Effect of pin density on planar vortex mobility, Phys. Rev. B 52, R13 149-R13 151 (1995).
- K. Yates, D.J. Newman, P.A.J, de Groot, Monte Carlo simulation of two-dimensional flux-lattice melting, Physica C 241, 111−117 (1995).
- H. Safar, P.L. Gammel, D.A. Huse, G.B. Alers, D.J. Bishop, W.C. Lee, J. Giapintzakis, D.M. Ginsberg, Vortex dymanics below the flux-lattice melting transition in YBa2Cus07Phys. Rev. B 52, 6211−6214 (1995).
- H. Weber, M. Wallin, H.J. Jensen, Monte-Carlo calculation of the current-voltage characteristics of a two-dimensional lattice coulomb gas, Phys. Rev. B 53,8566−8574 (1996).
- M. Franz, S. Teitel, Vortex lattice melting in 2D superconductors and Josephson arrays, Phys. Rev. Lett. 73, 480−483 (1994) — M. Franz, S. Teitel, Vortex lattice melting in 2D superconducting networks, Physica B 222, 287−292 (1996).
- J.-R. Lee, S. Teitel Phase transitions in classical two-dimensional lattice Coulomb gases, Phys. Rev. B 46, 3247−3262 (1992).
- L. Xing, Z. Tesanovic, Transition between flux liquid and flux solid in high-7'?. superconductors, Phys. Rev. Lett. 65, 794−797 (1990).
- U.С. Tauber, D.R. Nelson, Interactions and pinning energies in the Bose glass phase of vortices in superconductors, Phys. Rev. В 52, 16 106−16 124 (1995).
- Д.В. Хеерман, Методы компьютерного эксперимента в теоретической физике, Москва, Наука 1990- К. Биндер, Д. В. Хеерман, Моделирование методом Монте-Карло в статистической физике, Москва, Наука 1995.
- P. Minnhagen, Kosterlitz-Thouless transition for a two-dimensional superconductor: magnetic-field dependence from a Coulomb-gas analogy, Phys. Rev. В 23, 5745−5761 (1981).
- R. Sasik, D. Stroud, First-order vortex lattice melting and magnetization of YBa2Cu307-s, Phys. Rev. Lett. 75, 2582−2585 (1995).
- I.F. Herbut, Z. Tesanovic, First-order melting of vortex lattice in strongly type-II three-dimensional superconductors, Physica С 255, 324−328 (1995).
- A.E. Koshelev, L.I. Glazman, A.I. Larkin, Disorder-induced decoupling of pancake vortices in a layered superconductor, Rev. В 53, 2786−2791 (1996).
- J.H. Cho, M.P. Maley, S. Fleshier. A. Lacerda, L.N. Bulaevskn, High-magnetic-field transport properties of Bi2Sr2C. aCu208 single crystals, Phys. Rev. В 50. 6493−6496 (1994).
- E. Rodriguez, M.F. Goffman, A. Arriebere, F. de la Cruz, L.F. Schneemeyer, Superconducting critical state of Bi2Sr2CaCu2()s. two-dimensional effects at low temperatures, Physica В 194−196, 2151 -2152 (1994).
- О.К.С. Tsui, N.P. Ong, Y. Matsuda, Y.F. Yan, J.B. Peterson, Sharp magnetoabsorption resonances in the vortex state of Bi2Sr2(M (M20s-^ Phys. Rev. Lett. 73, 724−727 (1994).
- L.N. Bulaevskii, M.P. Maley, M. Tachiki, Low frequency magneto-optical properties of Joseplison-coupled superconductors, Phys. Rev. Lett. 74, 801−804 (1995).
- M. Benkraouda, J.R. Clem, Instability of a tilted vortex line in magnetically coupled layered superconductors, Phys. Rev. B 53, 438−442 (1996).
- I.A. Rudnev, V.A. Kashurnikov, M.A. Katargin, Monte Carlo simulation of B-T phase diagrams in a model high-Tc superconductors, Proceeding of The 8th Workshop on Critical Current in Superconductors, Report PI-15, Japan, May 2729, 1996.
- M. Machida, H. Kaburaki, Direct numerical experiment on two-dimensional pinning dynamics of a three-dimensional vortex line in layered superconductors, Phys. Rev. Lett. 75, 3178−3181 (1995).
- M.P.A. Fisher,.P.B. Weichman, G. Grmstein, D.S. Fisher, Boson localization and the superfluid-msulator transition, Phys. Rev. B 40, 546−570 (1989).
- E. Bonabeau, P. Lederer, Monte Carlo simulations of a disordered lattice London model, Phys. Rev. Lett. 77, 5122−5125 (1996).
- R. Sugano, T. Onogi, Y. Murayama, Monte Carlo study of vortex-line dynamics with correlated disorders, Physica C 263, 17−20 (1996).
- K. Moon, R.T. Scalettar, G.T. Zimanyi. Dynamical phases of driven vortex systems, Phys. Rev. Lett. 77, 2778−2781 (1996).
- S. Ryu, M. Hellerqvist, S. Domach, A. Kapitulnik, D. Stroud, Dynamical phase transition in driven disordered vortex lattice, Phys. Rev. Lett. 77, 51 145 117 (1996).
- A.N. Lykov, C. Attanasio, L. Maritato, S.L. Prischepa, Disorder and vortex dynamics in high-Tc superconductors, Supercond. Sci. Technol. 10, 119−122 (1997).
- В. Khaykovich, М. Konczykowski, Е. Zeldov, R.A. Doyle, D. Majer, P.H. Kes, T.W. Li, Vortex-matter phase transitions in Bi2Sr2CaCu20s'. effects of weak disorder, Phys. Rev. В 56, R517-R520 (1997).
- С. Goupil, A. Ruyter, V. Hardy, Ch. Simon, Flux line pinning and transport measuarements in a Bi2212 crystal in the presence of columnar defects, Physica С 278, 23−30 (1997).
- M.E. Ерачева, M.B. Катаргин, В. А. Кашурников, И. А. Руднев, Моделирование фазовых переходов в вихревой системе ВТСП методом Монте-Карло, Физика низких температур 23, 1151−1161 (1997).
- D.W. Heermann, Computer simulation methods in theoretical physics (Springer-Verlag Berlin Heidelberg, 1990) — C. Domb, M.S. Green, Phase transitions and critical phenomena (Academic press, London 1976).
- N. Metropolis, A. Rosenbluth, М. Rosenbluth, A. Teller, Е. Teller. Equation of state calculations by fast computing machines, J. Chem. Phys. 21, 1087−1092 (1953).
- M.E. Gracheva, V.A. Kashurnikov, I.A. Rudnev, Monte-Carlo simulation of the two-dimensional vortex lattice melting in high-temperature superconductors with defects, Physics of low-dimensional structures, № 8/9, 125−134 (1997).
- Ertas, D.R. Nelson, Irreversibility, mechanical entanglement and thermal melting in superconducting vortex crystals with impurities, Physica С 272, 79−86 (1996).
- Yates, D.J. Newman, P.A.J, de Groot, Effect of pin density on planar vortex mobility, Rhys. Rev. В 52, R13 149- R13 151 (1995).
- Sasik, D. Stroud, Three-dimensional in two-dimensional crossover in layered high-superconductors, Phys. Rev. В 52, 3696−3701 (1995).
- С. Reichardt, C.J. Olson, J. Groth et al. Vortex plastic flow, local flux density, magnetizationliysteresis loops, and critical current, deep in the Bose-glass and Mott-isolutor regimes, Phys. Rev. В 53, R8898-R8901 (1996).
- Yu.E. Lozovik, V.A. Mandelshtam, Coulomb clusters in a trap, Phvs. Lett. A 145, 269−271 (1990).
- Yu.E. Lozovik, V.A. Mandelshtam, Classical and quantum melting of a Coulomb cluster m a trap, Phys. Lett. A 165, 469−472 (1992).
- F.M. Peeters, V.A. Schweigert, V.M. Bedanov, Classical two-dimensional atoms, Physica В 212, 237−244 (1995).
- Ю.Е. Лозовик, E.A. Ракоч, Двумерные микрокластеры вихрей: оболочечная структура и плавление, Письма в ЖЭТФ 65, 268−273 (1997).
- A. Oral, J.C. Barnard, S.J. Bending et al., Direct observation of melting of the vortex solid in Bi2Sr2CaCu2C>8+s single crystals, Phys. Rev. Lett. 80, 36 103 613 (1998).
- A. Schilliing, R.A. Fisher, N.E. Phillips et al., Anisotropic latent heat of vortex-lattice melting in untwinned YBa2Cu307 $, Phys. Rev. Lett. 78, 4833−4836 (1997).
- M. Roulin, A. Junod, A. Erb, E. Walker, Calorimetric transitions on the melting line of the vortex system as a function of oxygen deficiency in high-purity YBa2Cu3Ox, Phys. Rev. Lett. 80, 1722−1725 (1998).
- R. Cubitt, E.M. Forgan, G. Yang et al., Direct observation of magnetic flux lattice melting and decomposition in the high-Tc superconductor Bi2AsSri 95CaCu20s^x, Nature (London) 365, 407−411 (1993).
- S.L. Lee, C.M. Aegerter, H. Keller et al., Role of electromagnetic coupling in the low-field phase diagram of Bi2j5SrI 85CaCu208Phys. Rev. B 55, 56 665 669 (1997).
- W.K. Kwok, S. Fleshier, U. Welp et al. Vortex lattice melting in untwinned and twinned single crystals of YBa2C. u3()75l Phys. Rev. Lett. 69, 3370−3373 (1992).
- E. Zeldov, D. Majer, M. Konczykowski et al., Thermodynamic observation of first-order vortex-lattice melting transition in Bi2Sr2Ca ('u20s, Nature (London), 375, 373−376 (1995).
- К. Kadowaki, К. Kimura, Precise magnetization measurements of single crystalline Bi2Sr2CaCu208+5, Phys. Rev. В 57, 11 674−11 683 (1998).
- И.В. Воронин, М. Е. Грачева, Е. Ю. Ульянов, Самоорганизация и распад двумерной системы квазичастиц в ловушке, Труды Международной конференции студентов и аспирантов по фундаментальным наукам «Ломоносов-98», МГУ, Москва (1998).
- М.Е. Gracheva, V.A. Kashurnikov, ГА. Rudnev, Dynamics of vortex lattice under the current influence in high temperature superconductors: Monte-Carlo method, Physics of low-dimensional structures, 9/10 (1998), p. 193−202.
- B. Obst, E.H. Brandt, Phase transition from the triangular to the square flux line lattice in type II superconductors with small k, Physics letters 64A, 460 462 (1978).
- D.F. Agterberg, Vortex lattice structures of Sr2Ru04, Phys. Rev. Lett. 80, 5184−5187 (1998).
- D.R. Nelson, Points, lines and planes: vortex pinning in high-temperature superconductors, Physica С 263, 12−16 (1996).
- D.T. Fuchs, E. Zeldov, T. Tamegai, S. Ooi, M. Rappaport, H. Shtrikman, Possible new vortex matter phases in Bi2Sr2CaCu20s, Phys. Rev. Lett. 80, 49 714 974 (1998).
- M. Franz, I. Affleck, M.H.S. Amin, Theory of equilibrium flux lattices in unconventional superconductors, Phys. Rev. Lett. 79, 1555−1558 (1997).
- M.R. Eskildsen, P L. Galmmel, B.P. Barber, Observation of a field-driven structural phase transition in the flux line lattice in ErNi2B2(Phys. Rev. Lett. 78, 1968−1971 (1997).
- V.G. Kogan, M. Bullock, B. Harmon, Vortex lattice in borocarbides, Phys. Rev. В 55, R8693-R8696 (1997).
- Н. N. Bachman, А. P. Reyes, V. F. Mitrovie, et al., High-field vortex7 уdynamics in YBa2Cu307 from О nuclear magnetic resonance, Phys. Rev. Lett. 80,1726−1729 (1998).
- A. Gupta, E.D. Tuset, M.G. Karkut, K. Fossheim, Short time magnetic relaxation Bi2Sr2CaC, u2Oio tapes: a study of thermally activated flux motion and vortex glass transition, Physica С 272, 33−42 (1996).
- Y.Y. Goldschmidt, Phase transitions of the flux-line lattice in high-temperature superconductors with weak columnar and point disorder, Phys. Rev. В 56,2800−2808 (1997).
- M.V. Indenbom, C.J. van der Веек, V. Berseth et al., Magneto-optical observation of twisted vortices in types-П superconductors, Lett, to Nature 385, 702−705 (1997).
- S. Ryu, A. Kapitulnik, S. Doniach, Effects of columnar pins on flux dynamics, Phys. Rev. Lett. 71, 4245−4248 (1993).
- В.Ф. Елесин, И. А. Есин, И. А. Руднев, Б. Л Кривц, Е. П. Лимитовский, СФХТ 6, 807 (1993).
- G. Crabtree, G. Leaf, H. Kaper et al, Time-dependent Ginzburg-Landau simulations of vortex guidance by twin boundaries, Physica С 263, 401−408 (1996).
- В. Obst, G. Schell, Vortex motion anisotropy in low-/: type-II superconductors, Physics letters 65A, 450−452 (1978).
- T. Tsuboi, T. Hanaguri, A. Maeda, Local Density fluctuations of moving vortices in solid and liquid phases in Bi.2Sr2CaCu2Ov, Phys. Rev. Lett. 80, 45 504 553 (1998).
- D.W. Braun, G.W. Crabtree, H.G. Kaper, A.E. Koshelev, G.K. Leaf, D.M. Levine, V.M. Vinokur, Structure of a moving vortex lattice, Phys. Rev. Lett. 76, 831−834 (1996).
- T. Tsuboi, T. Hanaguri, A. Maeda, Nature of the vortex liquid in Bi2Sr2CaCu2Oy, Phys. Rev. Lett. 55, R8709-R8712 (1997).
- J.A. Fendrich, U. Welp, W.K. Kwok et al, Static and dynamic vortex phases in YBa2Cu3()7^ Phys. Rev. Lett. 77, 2073−2076 (1996).
- W.K. Kwok, J.A. Fendrich, V.M. Vinokur et al, Vortex shear modulus and lattice melting in twin boundary channels of Y’Ba2(-u307.s, Phys. Rev. Lett. 76,4596−4599 (1996).
- B.M. Винокур, В. Б. Еешкенбейн, А. И. Ларкин, М. В. Фейгельман, Пиннинг вихревой жидкости в ВТСП, ЖЭТФ 100, 1104−1119 (1991).