How to Cite
Downloads
Métricas Alternativas
Dimensions
Abstract
Systematic experiments of high-field (up to 50 kOe) fluctuation magnetoconductivity and Hall magnetoresistivity in Hg1-x Rex Ba2 CaCu3O8+d (x=0.18) polycrystalline samples growth by means the quartz tube technique are reported. The analysis of the experimental data was performed by using the recognized Kouvel-Fisher method, which is frequently applied to study of critical phenomena. Very close to the critical temperature TC, a genuinely critical regime of fluctuations characterized by the critical exponent λc =0.32±0.01 was identified in absence of magnetic fields. This result is consistent with the full dynamic 3D-XY universality class predicted by the model E of Hohenberg-Halperin with a dynamic critical exponent z = 3/2. The genuine critical regime become be unstable on the application of external magnetic fields H≈0.1 kOe. Near above the critical temperature TC, the determined exponent λG3=0.52±0.02 was interpreted as corresponding to homogeneous fluctuations, which develop in a space with three-dimensional geometry. This region is destroyed upon the application of magnetic fields above 0.5 kOe. Increasing the temperature, evidences of a homogeneous two-dimensional behavior are observed by means the identification of a λG2=1.02±0.04. Applied fields H>20 kOe destroy this fluctuation regime. Far above TC , effects of disorder and planar anisotropy produce a fluctuation spectrum characterized by a fractal topology with a critical exponent λG2-G1=1.32±0.04. At last, very far TC, a temperature region with λG1=1.52±0.04 was experimentally identified. This corresponds to the confinement of the quasi-particles into the Lowest-Landau-Level, due to the quantization of the electronic states around the axe of application of the external field. Measurements of Hall were performed. In the normal phase, the Hall resistivity is hole-like and inversely proportional to the temperature. In the mixed phase and when the applied field is below μ0H = 2 T, the Hall resistivity shows a double sign reversal. For fields above 2 T, the Hall resistivity remains positive, although qualitatively showing the trends observed at low fields. We attribute this behavior to two independent contributions with opposite sign. A negative term due to thermal fluctuations is relevant near TC, whereas a positive contribution related to vortex motion dominates at lower temperatures. Near the zero resistance state, the Hall resistivity varies as a power law of the longitudinal resistivity, with a field independent exponent β=1.41. PACS: 74.40.+k; 74.25.Bt; 74.60.Ec; 74.72.Bk. © 2014. Acad. Colomb. Cienc. Ex. Fis. Nat. All rights reserved.
References
Abrikosov, A.A. (1988). Fundamentals of the theory of metals.Groningen: North-Holland, p. 120-135.
Alexander, S. and Orbach, R. (1982). Density of states on fractals: “fractons”. Journal Physique Letters 43, L625.
Alexander, S., Laermans, C., Orbach, R. and Rosenberg, H.M.(1983). Fracton interpretation of vibrational properties of cross-linked polymers, glasses, and irradiated quartz. Physical Review B 28, 4615.
Ambegaokar, V., Halperin, B.I., Nelson, D.R. and Siggia, E.D.(1980). Dynamics of superfluid films. Physical Review B 21, 1806
Anderson P. W. (1991). Comment on ‘‘Anomalous spectral weight transfer at the superconducting transition of Bi2Sr2CaCu2O8+δ’’. Physical Review Letters 67, 660.
Anderson, P. W. and Kim, Y. B. (1964). Hard superconductivity: theory of the motion of Abrikosov flux line, Rev. Mod. Phys. 36, 39.
Artemenko, S.N., Gorlova, I.G. and Latyshev, Y.I. (1989). Change in the sign of the Hall effect in a superconducting transition in Bi2Sr2CaCu2Ox single crystals. JETP Letters 49, 403.
Artemenko, S.N., Gorlova, I.G. and Latyshev, Y.I. (1989). Vortex motion and kosterlitz-thouless transition in superconducting single crystals Bi2Sr2CaCu2Ox. Physics Letters A 138, 428.
Aslamazov, L.G. and Larkin, A.I. (1968). Effect of Fluctuations on the Properties of a Superconductor Above the Critical Temperature. Soviet Physics Solid State 10 (4), 875-880.
Bardeen, J. and Stephen, M.J. (1965). Theory of the Motion of Vortices in Superconductors. Physical Review 140, 1197.
Bergmann, G. (1969). Landau level superconducting fluctuations of type-II superconductors in a high magnetic field, Z. Phys. B 255, 430.
Char, K. and Kapitulnik, A. (1988). Fluctuation conductivity in inhomogeneous superconductors. Z. Phys. B 72, 253.
Chmaissen, O., Huang, Q., Antipov, E.V, Putilin, S.N., Marezio, M., Loureiro, S.M., Capponi, J.J., Tholence, J.L. and Santoro, A. (1993). Neutron powder diffraction study at room temperature and at 10K of the crystal structure of the 133K superconductor HgBa2Ca2Cu3O8+δ. Physica C, 217, 265.
Di Castro, C., Castellani, C., Raimondi, N. and Varlamov, A.(1990). Superconductive fluctuations in the density of states and tunneling resistance in high-Tc superconductors. Physical Review B 42, 10211.
Ebner, C. and Stroud, D. (1985). Diamagnetic susceptibility of superconducting clusters: Spin-glass behavior. Physical Review B 31, 165.
Fabris, F.W., Roa-Rojas, J. and Pureur, P.(2001). Magnetotransport properties and the irreversibility line in ceramic DyBa2 Cu3O7–δ. Physica C 354, 304–308.
Feigel’man, M.V., Geshkenbein, V.B., Larkin, A.I. and Vinokur, V.M. (1995). Sign change of the flux-flow Hall effect in HTSC. JETP Letters 62, 834-840.
Fisher, D.S., Fisher, M.P.A. and Huse, D.A. (1991). Thermal fluctuations, quenched disorder, phase transitions, and transport in type-II superconductors. Physical Review B 43, 130.
Freimuth, A., Hohn, C. and Galffy, M. (1991). Sign change of the flux-flow Hall resistance in high-Tc superconductors. Physical Review B 44, 10396.
Friederich, A. (1976). Thesis Universit ́e de Paris-Sud, Centre d’OrdayGalffy, M. and Zirngiebl, E. (1988). Hall-effect of bulk YBa2 Cu3O7−δ. Solid State Communications. 68, 929-933.
Gerber, A., Grenet, T., Cyrot, M. and Beille, J. (1990). Double-peak superconducting transition in granular L-M-Cu-O (L=Pr,Nd,Sm,Eu,D; M=Ce,Th) superconductors. Physical Review Letters 65, 3201.
Gor’kov, L.P. (1958). On the energy spectrum of superconductors. Soviet Physics JETP 7, 505 – 508. Gor’kov, L.P. (1959). Microscopic derivation of the ginzburg-landau equations in the theory of superconductivity, Soviet Physics JETP 9, 1364 – 1367.
Gor’kov, L.P. (1960). Theory of superconducting alloys in a strong magnetic field near the critical temperature. Soviet Physics JETP 10, 998.
Hagen, S. J., Smith, A. W., Rajeswari, M., Peng, J. L., Li, Z. Y., Greene, R. L., Mao, S. N., Xi, X. X., Bhattacharya, S., Qi Li, and Lobb, C. J. (1993). Anomalous flux-flow Hall effect: Nd1.85Ce0.15CuO4-y and evidence for vortex dynamics. Physical Review B 47, 1064.
Hagen, S.J., Lobb, C.J., Greene, R.L. and Eddy, M. (1991). Flux-flow Hall effect in superconducting Tl2Ba2CaCu2O8films. Physical Review B 43, 6246.
Hohenberg, P.C. and Halperin, B.I. (1977). Theory of dynamic critical phenomena. Rev. Mod. Phys. 49, 435.Houghton, A., Pelkovits, R.A. and Sudbf, A. (1989). Flux lattice melting in high-Tc superconductorsPhysical Review B 40, 6763.
Ikeda, R., Ohmi, T., Tsuneto, T. (1989). Renormalized fluctuation theory of resistive transition in high-temperature super-conductors under magnetic field. Journal of the Physical Society of Japan. 58, 1377 – 138.
Jurelo, A.R., Castillo, I.A., Roa-Rojas, J., Ferreira, L.M., Ghivelder, L., Pureur, P, Rodrigues Jr., P. (1999). Coherence transition in granular high temperature super-conductors. Physica C 311, 133.
KIM, D. H. and Trochet, M. D. (1992). Scaling behavior of fluc-tuation conductivity of high-temperature superconductors in a magnetic field, Physical Review B 45, 10801.
Koch, R.H., Foglietti, V. and Fisher, M.P.A. (1990). Experimental evidence for vortex-glass superconductivity in YBa-Cu- O. Physical Review Letters 64, 2586.
Koch, R.H., Foglietti, V. and Gallagher, W.J. (1989). Experimental evidence for vortex-glass superconductivity in Y-Ba-Cu-O. Physical Review Letters 63, 1511.
Lang, W., Heine, G., Schwab, P., Wang X. Z. and Bäuerle, D.(1994). Paraconductivity and excess Hall effect in epitaxial YBa2Cu3O7 films induced by superconducting fluctuations. Physical Reviev B 49, 4209.
Lawrence, W.E. and Doniach, S. (1971). KANDO, E. (Ed.) Proceedings of 12th International Conference on Low Temperature Physics. Kyoto: Academic Press of Japan, 1971. p. 361-362
Lidmar, J., Wallin, M., Wengel, C., Girvin, S.M., Young, A.P.(1998). Critical exponents from field theory. Physical Review B 21, 3976.
Liu, W., Clinton, T.W., Smith, A.W. and Lobb, C.J. (1997). Hall-conductivity sign reversal and fluctuations in YBa2Cu3O7-δfilms. Physical Review B 55, 11802.
Lobb, C.J. (1987). Critical fluctuations in high-Tc superconductors. Physical Review B 36, 3930.
Maki, K. and Thompson, R.S. (1989). Fluctuation conductivity of high-Tc superconductors. Physical Review B 39, 2767.
Matsushita, T. (1993). On the origin of the irreversibility line in superconductors Depinning or melting of fluxoids. Physica C 214, 100.
Morgenstern, I., Müller, K. A. and Bednorz, J. G. (1988). Glass behavior of high-Tc superconductors. Physica C 153/155, 59 – 62.
Pureur, P., Costa, R. M., Rodrigues Jr., P., Kunzler, J. V., Schaf, J., Ghivelder, L., Campá, J. A. and Rasines, I.(1994). Critical and Gaussian conductivity fluctuations in YBa2Cu3O7−δ and Bi2Sr2CaCu2O8. Physica C 235/240, 1939-1940.
Pureur, P., Menegotto Costa, R., Rodrigues, Jr., P., Schaf, J. and J. V. Kunzler, (1993). Critical and Gaussian conductivity fluctuations in YBa2Cu3O7-δ. Physical Review B 47, 11420.
Rice, J.P., Rigakis, N., Ginsberg, D.M. and Mochel, J.M. (1992). Sign reversal of the Hall effect below Tc in untwinned single-crystal YBa2Cu3O7-δ. Physical Review B 46, 11050.
Roa-Rojas, J. (2002). Evidence of two-dimensional gauge-glass behavior near the coherence transition of DyBa2Cu3O7-δultra-thin films. Modern Physics Letters B 16 1061.
Roa-Rojas, J., Jurelo, A.R., Menegotto Costa, R., Mendonça Ferreira, L., Pureur, P., Orlando, M.T.D., Prieto, P., Nieva, G., (2000). Fluctuation conductivity and the dynamical universality class of the superconducting transition in the high-Tc cuprates. Physica C. 341-348, 1911 – 1912.
Roa-Rojas, J., Menegotto Costa, R., Pureur, P. and Prieto, P. (2000). Pairing transition, coherence transition, and the irreversibility line in granular GdBa2Cu3O7-δ. Physical Review B 61, 12457
Roa-Rojas, J., Pureur, P., Mendonça-Ferreira, L., Orlando, M.T.D., Baggio-Saitovitch, E., (2001). Hall effect and longitudinal conductivity in a Hg0.82Re0.18Ba2Ca2Cu3O8+δsuperconductor. Superconductor Science and Technology. 14, 898.
Roa-Rojas, J., Pureur, P., Orlando, M.T.D., Baggio-Saitovitch, E. (2000). Hall effect in a Hg(Re)-1223 superconductor. Physica C 341-348, 1043.
Rodrigues Jr., P., Schaf, J. and Pureur, P. (1994). Field and oxygen dependence of the magnetic irreversibility line in YBa2Cu3O7-δ. Physical Review B 49, 15292.
Rosenblatt, J., Raboutou, A., Peyral, P. and Lebeau, C. (1990). Intragranular and intergranular transitions in Y-Ba-Cu-O ceramics. Rev. Physique Appl. 25, 73.
Salamon, M. B., Shi, J., Oyerend, N. and Howson, M. A. (1993). XY-like critical behavior of the thermodynamic and transport properties of YBa2Cu3O7-x in magnetic fields near Tc. Physical Review B 47, 5520.
Shen L.J., Lam C.C., Li J.Q. (1998). Thermodynamic fluctuation under high pressure in Hg-1223 superconductors. Superconducting Science and Technology 11, 1277.
Sin, A., Cunha, A.G., Calleja, A., Orlando, M.T.D, Emmerich, F.G., Baggio-Saitovitch, E., Segarra, M., Piñol, S. and Obradors, X. (1999). Influence of precursor oxygen stoichiometry on the formation of Hg, Re-1223 superconductors. Superconductor Science and Technology 12, 120.
Sin, A., Cunha, A.G., Calleja, A., Orlando, M.T.D, Emmerich, F.G., Baggio-Saitovitch, E., Segarra, M., Piñol, S. and Obradors, X. (1998). Pressure-Controlled Synthesis of the Hg0.82Re0.18Ba2Ca2Cu8+d Superconductor, Advanced Materials 10, 1126.
Stanley, H.E., (1971). Introduction to phase transitions and critical phenomena. Oxford: Clarendon Press, p.p. 180.
Tinkham, M. (1975). Introduction to superconductivity. Florida: Krieger, p.p. 230-257.
Usui, M., Ogaswara, T., Yasukochi, K., Tomoda, S. (1969). Magnetization, Flux Flow Resistance and Hall Effect in Superconducting Vanadium. Journal of the Physical Society of Japan 27, 574.
Varlamov, A.A. and Ausloos, M. (1996). Nato advanced research workshop on fluctuation phenomena in high critical emperature superconducting ceramics, Trieste. Edited by Ausloos, M. and Varlamov, A.A. Dordrecht: Kluwer Academic Publishers, (1997). p.p. 3-41.
Wang, Z.D., Dong, J. and Ting, C.S. (1994). Unified theory of mixed state Hall effect in type-II superconductors: Scaling behavior and sign reversal. Physical Review Letters 72, 3875.
Yeshurun, Y. and Malozemoff, A.P. (1988). Giant Flux Creep and Irreversibility in an Y-Ba-Cu-O Crystal: An Alternative to the Superconducting-Glass Model. Physical Review Letters 60, 2202.
Zavaritsky, N.V., Samoilov, A.V. and Yurgens, A.A. (1991). Transport coefficients and flux motion in Bi2Sr2CaCu2Oxsingle crystals. Physica C 180, 417.
Declaration of originality and transfer author's rights
The authors declare:
- The published data and reference materials have been duly identified with their respective credits and have been included in the bibliographic notes and citations that have been so identified and that should it be required, I have all releases and permissions from any copyrighted material.
- All material presented is free from any copyright and that I accept full legal responsibility for any legal claims relating to copyrighted intellectual property, fully exonerating from responsibility the Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales.
- This work is unpublished and will not be sent to any other journal while waiting for the editorial decision of this journal. I declare that there is no conflict of interest in this manuscript.
- In case of publication of this article, all author´s rights are transferred to the Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales, and so cannot be reproduced in any form without the express permission of it.
- By means of this document, if the article is accepted for publication by the Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales, the Revista assumes the right to edit and publish the articles in national and international indices or data bases for academic and scientific use in paper, electronic, CD-ROM, internet form either of the complete text or any other known form known or to be known and non-commercial, respecting the rights of the authors.
Transfer of author rights
In case the article is approved for publication, the main author in representation of himself and his co-authors or the main author and his co-authors must cede the author rights of the corresponding article to the Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales, except in the following cases:
The authors and co-authors will retain the right to revise, adapt, prepare derived works, oral presentations, and distribution to some colleagues of reprints of their own published work, if the corresponding credit is given to the Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales. It is also permissible to publish the title of the work, summary, tables, and figures of the work in the corresponding web sites of the authors or their employers, also giving credit to the Revista.
If the work has been realized under contract, the author’s employer has the right to revise, adapt, prepare derivative works, reproduce, or distribute in hard copy the published work, in a secure manner and for the exclusive use of his employees.
If the Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales were approached for permission by a third party for using, printing, or publishing specifically articles already published, the Revista must obtain the express permission of the author and co-authors of the work or of the employer except for use in classrooms, libraries, or reprinted in a collective work. The Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales reserves the possible use in its front cover of figures submitted with the manuscripts.
No other right, other than the author’s right, can be claimed by the Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales.