Density Functional Approach to Vortex Matter

M. Tinkham, “Introduction to Superconductivity”, McGraw Hill, New York (1975).Google Scholar

U. Essmann and H. Träuble, Magnetic structures in superconductors, Physics Lett. A 24:526(1967).ADSCrossRefGoogle Scholar

A. A. Abrikosov, On the magnetic properties of superconductors of the second type, Zh. Eksperim i Teor. Fiz. 32:1442 (1957) [Soviet Phys. — JETP 5:1174 (1957)].Google Scholar

J. G. Bednorz and K. A. Müller, Possible high T _c superconductivity in the Ba-La-Cu-O system, Z. Phys. B — Condensed Matter 64:189(1986).ADSCrossRefGoogle Scholar

F. A. Lindemann, Molecular frequencies, Phys. Z. 11:609(1910).MATHGoogle Scholar

C. J. Lobb, Critical fluctuations in high-T _c superconductors, Phys. Rev. D. 36:3930(1987).ADSGoogle Scholar

D. Ceperley, Ground state of the fermion one-component plasma: a. monte-carlo study in two and three dimensions, Phys. Rev. B 18:3126(1978).ADSCrossRefGoogle Scholar

P. L. Gammel, D. J. Bishop, G. J. Dolan, J. R. Kwo and C. A. Murray, Observation of hexagonally correlated flux quanta in YBa₂Cu₃0₇, Phys. Rev. Lett. 59:2592(1987).ADSCrossRefGoogle Scholar

P. L. Gammel, L. F. Schneemeyer, J. V. Waszczak and D. J. Bishop, Evidence from mechanical measurements for flux-lattice melting in single-crystal YBa₂Cu₃07 and Bi₂.2Sr₂Cao.₈Cu₂0₈, Phys. Rev. Lett. 61:1666(1988).ADSCrossRefGoogle Scholar

T. T. M. Palstra, B. Batlog, L. F. Schneemeyer and J. V. Waszczak, Thermally activated dissipation in Bi₂.₂Sr₂Ca,_o.8Cu₂O₈₊₅, Phys. Rev. Lett. 61:1662(1988).ADSCrossRefGoogle Scholar

A. Umezawa, W. Zhang, A. Gurevich, Y. Feng, E. E. Hellstrom and D. C. Larbalestler, Flux pinning, granularity and the irreversibility line of the high-T_c superconductor HgBa₂CuO_4+x, Nature 364:129(1993).ADSCrossRefGoogle Scholar

Y. Yeshurun and A. P. Malozemoff, Giant flux creep and irreversibility in an Y-Ba-Cu-O crystal: an alternative to the superconducting-glass model, Phys. Rev. Lett. 60:2202(1988).ADSCrossRefGoogle Scholar

P. W. Anderson and Y. B. Kim, Hard superconductivity: theory of the motion of Abrikosov flux lines, Rev. Mod. Phys. 36:39(1961).ADSCrossRefGoogle Scholar

D. R. Nelson, Vortex entanglement in high T _c superconductors, Phys. Rev. Lett. 60:1973(1988).MathSciNetADSCrossRefGoogle Scholar

D. R. Nelson, Vortex line fluctuations in superconductors from superconductors, Phys. Rev. Lett. 60:1973 (1988).MathSciNetADSCrossRefGoogle Scholar

D. R. Nelson, Vortex line fluctuations in superconductors from elementary quantun mechanics, in: “Phase Transition and Relaxation in Systems with Competing Energy Scales”, NATO Advanced Study Institute, New York (1993).Google Scholar

D. S. Fisher, M. P. A. Fisher and D. A. Huse, Thermal fluctuations, quenched disorder, phase transitions and transport properties in type-II superconductors, Phys. Rev. B 43:130(1991).ADSCrossRefGoogle Scholar

A. I. Larkin and Y. N. Ovchinnikov, Pinning in type-II superconductors, J. Low Temp. Phys. 34:409(1979).ADSCrossRefGoogle Scholar

M. V. Feigel’man, V. B. Geshkenbein, A. I. Larkin and V. M. Vinokur, Theory of collective flux creep, Phys. Rev. Lett. 63:2303(1989).ADSCrossRefGoogle Scholar

T. V. Ramakrishnan and M. Yussouff, First-principles order-parameter theory of freezing, Phys. Rev. B 19:2775(1979).ADSCrossRefGoogle Scholar

B. B. Laird, J. D. McCoy and A. D. J. Haymet, Density functional theory of freezing: analysis of crystal density, J. Chem. Phys. 87:5445(1987).ADSCrossRefGoogle Scholar

J. F. Lutsko and M. Baus, Nonperturbative density-functional theories of classical nonuniform systems, Phys. Rev. A 41:6647(1990).ADSCrossRefGoogle Scholar

I. R. McDonald, The structure of simple liquids, in: “Liquids, Freezing and Glass Transition — Part 1”, Ed. J. P. Hansen, D. Levesque and J. Zinn-Justin, North Holland (1991).Google Scholar

S. Sengupta, C. Dasgupta, H. R. Krishnamurthy, G. I. Menon and T. V. Ramakrishnan, Freezing of the vortex liquid in high-T_c superconductors: a density functional approach, Phys. Rev. Lett. 67:3444(1991).ADSCrossRefGoogle Scholar