Abstract
Crossover from Bose-Einstein (BE) to BCS condensation can be a guiding principle in understanding the evolution of high-T c cuprate superconductors as a function of carrier doping. This picture is developed by combining two experimental results: (1) the “universal correlations” between T c and n s/m* (superconducting carrier density / effective mass) found in nSR measurements of the magnetic field penetration depth λ and (2) the “pseudo gap” behavior observed in NMR, neutron scattering, dc- and optical conductivity, specific heat, and most-recently in angle-resolved photoemission (ARPES) measurements. Here we provide a critical review of these experimental results and the relevant theoretical work in order to elucidate the essential features of this crossover picture and to discuss condensation mechanisms in the cuprates.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
See, for example: Tilley D.R., Tilley J. (1990) Superfluidity and Superconductivity, Adam Hilger, Bristol
Bardeen J., Cooper L.N., Schrieffer J.R. (1957) Phys Rev 108:1175–1204
Bednorz J.G., Müller K.A. (1986) Z Phys B 64:189; Bednorz J.G., Müller K.A. (1988) Rev Mod Phys 60:585-600
See, for example, papers published in: Salje E.K.H., Alexandrov A.S., Liang W.Y. (Eds.) (1995) Polarons and Bipolarons in High-Tc Superconductors and Related Materials, Cambridge University Press, and references therein
For textbooks and/or review related to the (J.SR technique, see, for example: Schenck A. (1986) Muon Spin Rotation Spectroscopy, Adam Hilger, Bristol; Yamazaki T., Nakai K., Nagamine K. (Eds.) (1992) Perspectives of Meson Science, North Holland, Amsterdam; Karlsson E.B. (1995) Solid State Phenomena as Seen by Muons, Protons and Excited Nuclei, Oxford University Press
Redfield A.G. (1967) Phys Rev B 162:367–374
Pincus P. (1964) Phys Lett 13:21–22
Barford W., Gunn J.M.F. (1988) Physica C 156:515–522
Aeppli G., et al. (1987) Phys Rev B 35:7130–7132
Kossler W.J., et al. (1987) Phys Rev B 35:7133–7136
Gygax F., et al. (1987) Europhys Lett 4:437–439
Uemura Y.J., et al. (1988) Phys Rev B 38:909–912
Uemura Y.J., et al. (1989) Phys Rev Lett 62:2317–2320
Piimpin B., et al. (1990) Hyperf Interact 63:25–31
Gliickler H. et al. (1990) Hyperf Interact 63:155–160
Seaman C.L. et al. (1990) Phys Rev B 42:6801–6804
Tallon J.L. et al. (1995) Phys Rev Lett 74:1008–1011
Basov D.N. et al. (1995) Phys Rev Lett 74:598–601
Uemura Y.J. et al. (1991) Phys Rev Lett 66:2665–2668
Uemura Y.J. et al. (1991) Nature 352:605–607; Uemura Y.J. et al. (1994) Physica C 235–240:2501-2502
Uemura Y.J, Luke G.M. (1993) Physica B 186–188:223–228; Uemura Y.J, Le L.P, Luke G.M. (1993) Synthet Met 55–57:2845-2852
Uemura Y.J. et al. (1990) In: Kresin V.Z, Little W.A. (Eds.) Organic Superconductivity, Plenum, New York, 23–29; Le L.P. et al. (1992) Phys Rev Lett 68:1923-1926
Pistolesi E, Strinati G.C. (1994) Phys Rev B 49:6356–6359
Friedberg R, Lee T.D, Ren H.C. (1990) Phys Rev B 42:4122–4134; Friedberg R, Lee T.D, Ren H.C. (1991) Phys Lett A 152:423-429
Yasuoka H, Imai T, Shimizu T. (1989) In: Fukuyama H. (Ed.) Spin Correlations and Superconductivity, Springer, Berlin, 254–261; Yasuoka H. (1997) Hyperf Interact 105:27-34 and references therein
Warren W.W. et al. (1989) Phys Rev Lett 62:1193–1196; Walstedt R.E. et al. (1990) Phys Rev B 41:9574-9576
Takigawa M. et al. (1989) Physica C 162–164:853–856; Takigawa M. et al. (1991) Phys Rev B 43:247-257
Alloul H, Ohno T, Mendels P. (1989) Phys Rev Lett 63:1700–1703
Matsuura M. et al. (1995) J Phys Soc Jpn 64:721–724
Rossat-Mignod J. et al. (1991) Physica C 185–189:86–92; Rossat-Mignod J. et al. (1992) Phys Scr T45:74
Tranquada J.M. et al. (1992) Phys Rev B 46:5561–5575
Ito T. et al. (1991) Nature 350:596–598
Nakamura Y., Uchida S. (1993) Phys Rev B 47:8369–8372; Takenaka K. et al. (1994) Phys Rev B 50:6534-6537
Homes C.C. et al. (1993) Phys Rev Lett 71:1645–1648
Takagi H. et al. (1992) Phys Rev Lett 69:2975–2978; Ito T., Takenaka K., Uchida S. (1993) Phys Rev Lett 70:3995-3998
Batlogg B. et al. (1994) Physica C 235–240:130–133
Nakano T. et al. (1994) Phys Rev B 49:16000–16008
Loram J.W. et al. (1993) Phys Rev Lett 71:1740–1743
Marshall D.S. et al. (1996) Phys Rev Lett 76:4841–4844; Marshall D.S. et al. (1996) Science 273:325-329
Ding H. et al. (1996) Nature 382:51–54
Uemura Y.J. (1993) At: Euroconference on Superconductivity in Fullerenes, Oxides and Organic Materials, Pisa, Italy, January 1993, not published
Uemura Y.J. (1995) In: Salje E.K.H., Alexandrov A.S., Liang W.Y. (Eds.) Proc. of the Workshop on “Polarons and Bipolarons in High-Tc Superconductors and Related Materials”, Cambridge, UK, April 1994. Cambridge University Press, 453–460; Uemura Y.J. (1995) In: Feng S., Ren H.C. (Eds.) High-Tc Superconductivity and the Ceo Family, CCAST Symposium on..., Beijing, May 1994.Gordon and Breach, 113-142
Uemura Y.J. (1997) Physica C 282–287:194–197
Eagles D.M. (1969) Phys Rev 186:456–463
Leggett A.J. (1980) In: Pekalski A., Przystawa R. (Eds.) Modern Trends in the Theory of Condensed Matter, Springer, Berlin
Nozieres P., Schmitt-Rink S. (1985) J Low Temp Phys 59:195–211
Micnas R., Ranninger J., Robaszkiewicz S. (1990) Rev Mod Phys 62:113–171
Randeria M. (1995) In: Griffin A., Snoke D.W., Stringari S. (Eds.) Bose Einstein Condensation, Cambridge University Press, 355–391
Lee T.D. (1994) Physica C 235–240:186–188; Friedberg R., Lee T.D., Ren H.C. (1994) Phys Rev B 50:10190-10 217
Ranninger J. (1994) Physica C 235–240:277–280
Pistolesi F., Strinati G.C. (1996) Phys Rev B 53:15168–15192; and references therein
Micnas R., Robaszkiewicz S., Kostyrko T. (1995) Phys Rev B 52:6863–6879; Micnas R., Kostyrko T. (1996) In: Klamut J. et al. (Eds.) Recent Developments in High Temperature Superconductivity, Lecture Notes in Physics vol. 475, Springer, Berlin Heidelberg, 221-242
Pietronero L., Strassler S. (1992) Europhys Lett 18:627–633
Enz C.P. (1989) Helv Phys Acta 62:122–138; Enz C.P., Galasiewicz Z.M. (1988) Solid State Commun 66:49-50; Enz C.P., Galasiewicz Z.M. (1993) Physica C 214:239-246
van der Marel D., Mooij J.E. (1992) Phys Rev B 45:9940–9950
Tokumitsu A., Miyake K., Yamada K. (1993) Phys Rev B 47:11988–12003
Drechsler M., Zwerger W. (1992) Ann Physik 1:15–23
Randeria M. et al. (1992) Phys Rev Lett 69:2001–2004
Sa de Melo C.A.R., Randeria M., Engelbrecht J.R. (1993) Phys Rev Lett 71:3202–3205
Mott N.F. (1990) Adv Phys 39:55–81
Schneider T., Keller H.J. (1992) Phys Rev Lett 69:3374–3377
See, for example: Nozieres P. (1995) In: Griffin A., Snoke D.W., Stringari S. (Eds.) Bose Einstein Condensation, Cambridge University Press, 15–31
Doniach S., Inui M. (1990) Phys Rev B 41:6668–6678
Emery V.J., Kivelson S.A. (1995) Nature 374:434–437
Tchernyshyov O. (1997) Phys Rev B 56:3372
Anderson P.W. (1987) Science 235:1196–1198
Anderson P.W. (1973) Mater Res Bull 8:153; Fazekas P., Anderson P.W. (1970) Phil Mag 30:432-440
Nagaosa N., Lee P.A. (1990) Phys Rev Lett 64:2450–2453; Lee P.A., Nagaosa N. (1992) Phys Rev B 46:5621-5639
Suzumura Y., Hasegawa Y., Fukuyama H. (1988) J Phys Soc Jpn 57:2768; Tanamoto T., Kuboki K., Fukuyama H. (1991) J Phys Soc Jpn 60:3072-3092
Kim C. et al. (1996) Phys Rev Lett 77:4054–4057
See, for example: Timusk T., Tanner R.B. (1989) In: Ginsberg G.M. (Ed.) Physical Properties of High-Temperature Superconductors I, World Sci., Singapore, 339–407; Tanner R.B., Timusk T. (1992) In: Ginsberg G.M. (Ed.) Physical Properties of High-Temperature Superconductors III, World Sci., Singapore, 363-469, and references therein. See also: Uchida S. (1995) In: Feng S., Ren H.C. (Eds.) Proc. CCAST Symposium on High-Tc Superconductivity and the Ceo Family, Beijing, May 1994, Gordon and Breach, London, 199-249
Uemura Y.J. (1996) In: Batlogg B. et al. (Eds.) Proc. 10th Anniversary Workshop of High-Tc Superconductors, Houston, March 1996, World Sci., Singapore, 68–71; Uemura Y.J. (1997) Hyperf Interact 105:35-46
Uemura Y.J. et al. (1993) Nature 364:605
Niedermayer Ch. et al. (1993) Phys Rev Lett 71:1764
Bose S.N. (1924) Z. Phys. 26:178; Einstein A. (1924) Sitzber Kgl Preuss Akad Wiss 261; Einstein A. (1925) Sitzber Kgl Preuss Akad Wiss 3
Jin D.S. et al. (1996) Phys Rev Lett 77:420–423
Mewes M.-O. et al. (1996) Phys Rev Lett 77:416–419
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Uemura, Y.J. (2000). Bose-Einstein to BCS Crossover as a Model for High-T c Cuprate Superconductors. In: Klamut, J., Veal, B.W., Dabrowski, B.M., Klamut, P.W., Kazimierski, M. (eds) New Developments in High Temperature Superconductivity. Lecture Notes in Physics, vol 545. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46511-1_12
Download citation
DOI: https://doi.org/10.1007/3-540-46511-1_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67188-6
Online ISBN: 978-3-540-46511-9
eBook Packages: Springer Book Archive