Abstract
This chapter is devoted to a comparison of two apparently very different physical systems, superfluid liquid 3He and the cuprate superconductors. What these two systems have in common-at least according to almost universal belief-is that they are systems of Fermi particles, already very degenerate, in which not only are the “quasi-dielectronic molecules” which we call Cooper pairs formed, but once formed are automatically forced to occupy a single two-particle state, as regards both their center-of-mass motion and their internal structure. This phenomenon is very reminiscent of the phenomenon of Bose condensation which is almost universally believed to occur in the boson system liquid 4He below the λ-point, and has in the last few years been spectacularly demonstrated in a second Bose system, trapped ultracold monatomic alkali gases. It is therefore appropriate to start this chapter with a brief discussion of the more easily understood phenomenon of simple Bose condensation and its relationship to the apparently more complex behavior associated with Cooper pairing in degenerate Fermi systems.
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References
A.J. Leggett, Rev. Mod. Phys. 73, 307 (2001).
O. Penrose and L. Onsager, Phys. Rev. 104, 576 (1956).
P. Gavoret and P. Nozières, Ann. Phys. 28, 349 (1964).
C.N. Yang, Rev. Mod. Phys. 34, 694 (1952).
A.J. Leggett, in Electron, ed. M. Springford, Cambridge University Press, Cambridge 1997.
A.J. Leggett, in Bose-Einstein Condensation, ed. A. Griffin, D.W. Snoke, and S. Stringain, Cambridge University Press, Cambridge 1995.
W.F. Vinen, in R. D. Parks, ed., Superconductivity, (Marcel Dekker, New York 1969), Vol. II., p. 1167.
L.D. Landau, Zh. Eksp. Teor. Fiz. 30, 1058 (1956): translation, Soviet Physics JETP 3, 920 (1957).
D. Vollhardt and P. Wölfle, The Superfluid Phases of 3 He, Taylor and Francis, London (1990).
V.P. Silin, Zh. Eksp. Teor. Fiz. 33, 495 (1957): translation, Soviet Physics JETP 6, 387 (1958).
B.L. Jones and J.W. McClure, Phys. Rev. 143, 133 (1966).
G.S. Boebinger et al., Phys. Rev. Letters 77, 5417 (1996).
T. Timusk and D.B. Tanner, in D.M. Ginsberg (ed.), Physical Properties of High-Temperature Superconductors, Vol. I. (World Scientific, Singapore 1989), p. 339.
M.J. Holcomb, C.L. Perry, J.P. Collman and W.A. Little, Phys. Rev. B53, 6739 (1996).
M. Rübhausen, A. Gozar, M.V. Klein, P. Guptasarma and D.G. Hinks, Phys. Rev. B63, 224514 (2001).
H.J. Molegraaf, C. Presura, D. van der Marel, P.H. Kes and M. Li, Science 295 2239 (2002).
D. Pines and P. Nozières, The Theory of Quantum Liquids, W.A. Benjamin, New York 1966.
A.J. Leggett, Phys. Rev. 140 A, 1869 (1965).
J.C. Wheatley, Revs. Mod. Phys. 47, 415 (1975).
P.W. Anderson and P. Morel, Phys. Rev. 123, 1911 (1961).
P.W. Anderson and W.F. Brinkman, Phys. Rev. 30, 1108 (1973).
J.W. Serene and D. Rainer, Phys. Rep. 101, 221 (1983).
M. Chiao, R.W. Hill, C. Lupien, L. Taillaer, P. Lambert, R. Gagnon and P. Fournier, Phys. Rev. B62, 3554 (2000).
A.C. Durst and P.A. Lee, Phys. Rev. B 62, 1270 (2000).
M. Randeria and N. Trivedi, J. Phys. Chem. Solids 59, 1754 (1998).
J.P. Bouchand and C. Lhuillier, Z. Phys. B 75, 283 (1989).
C.C. Tsuei and J.R. Kirtley, Rev. Mod. Phys. 72, 969 (2000).
J.F. Annett, N. D. Goldenfeld and A.J. Leggett, in D.M. Ginsberg, ed., Physical Properties of High Temperature Superconductors, World Scientific, Vol. V, Singapore 1996.
A.J. Leggett, Rev. Mod. Phys. 47, 331 (1975).
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Leggett, A.J. (2004). Superfluid 3He and the Cuprate Superconductors. In: Bennemann, K.H., Ketterson, J.B. (eds) The Physics of Superconductors. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18914-2_11
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DOI: https://doi.org/10.1007/978-3-642-18914-2_11
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