Abstract
Electron tunnelling spectroscopy when first developed was used to extract the electron-phonon spectral density, α 2 F(ν), from superconductive metals. Here, on revisiting the topic, we show that it further allows the direct extraction of more realistic pseudopotentials for such metals. The pseudopotential so extracted has a range of surprising but physically reasonable properties and regenerates the experimentally derived α 2 F(ν) accurately. Freed from most of its long-standing uncertainties, this pseudopotential may find wide application.
Similar content being viewed by others
References
J.C. Phillips, L. Kleinman, Phys. Rev. 116, 287 (1959)
E. Fermi, Nuovo Cimento 2, 157 (1934)
H. Hellmann, Acta Physichem. URSS 1, 913 (1935)
W. Kassatptschkin, J. Chem. Phys. 4, 324 (1936)
L.P. Gorkov, Sov. Phys. JETP 7, 505 (1958)
A.B. Migdal, Sov. Phys. JETP 7, 996 (1958)
G.M. Eliashberg, Sov. Phys. JETP 11, 696 (1960)
Y. Nambu, Phys. Rev. 117, 648 (1960)
J.R. Schrieffer, D.J. Scalapino, J.W. Wilkins, Phys. Rev. Lett. 10, 336 (1963)
D.J. Scalapino, J.R. Schrieffer, J.W. Wilkins, Phys. Rev. 148, 263 (1966)
Y. Wada, Phys. Rev. 135, A1481 (1964)
V. Ambegaokar, L. Tewordt, Phys. Rev. 134, A805 (1964)
J.P. Hague, N. d’Ambrumenil, J. Low Temp. Phys. 151, 1149 (2008)
J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 108, 1175 (1957)
E.L. Wolf (ed.), Principles of Electron Tunnelling Spectroscopy (Oxford Univ. Press, Oxford, 1985)
P.G. Tomlinson, J.P. Carbotte, Phys. Rev. B 13, 4738 (1976)
W.H. Butler, H.G. Smith, N. Wakabayashi, Phys. Rev. Lett. 39, 1004 (1977)
A. Al-Lehaibi, J.C. Swihart, H. Butler, F.J. Pinski, Phys. Rev. B 36, 4103 (1987)
S.Y. Savrasov, D.Y. Savrasov, Phys. Rev. B 54, 16487 (1996)
J.P. Carbotte, Rev. Mod. Phys. 62, 1027 (1990)
X.H. Zheng, D.G. Walmsley, Phys. Rev. B 76, 224520 (2007)
R.H. Parmenter, Phys. Rev. 86, 552 (1952)
S.P. Singhal, J. Callaway, Phys. Rev. B 16, 1744 (1977)
J.P. Carbotte, R.C. Dynes, Phys. Rev. 172, 476 (1968)
M. Born, K. Huang, Dynamical Theory of Crystal Lattices (Clarendon, Oxford, 1954)
A.D.B. Woods, Inelastic Scattering of Neutrons in Solids and Liquids, vol. II, p. 1 (International Atomic Energy Agency, Vienna, 1963)
A.D.B. Woods, Phys. Rev. 136, A782 (1964)
R. Stedman, G. Nilsson, Phys. Rev. 145, 492 (1966)
R. Hooke, T.A. Jeeves, J. Assoc. Comput. Mach. 8, 212 (1961)
W.A. Harrison, Pseudopotentials in the Theory of Metals (W.A. Benjamin, New York, 1966)
G. Gilat, L.J. Raubenheimer, Phys. Rev. 144, 390 (1966)
M. Kresch, M. Lucas, O. Delaire, J.Y.Y. Lin, B. Fultz, Phys. Rev. B 77, 024301 (2008)
N.F. Mott, H. Jones, The theory of the Properties of Metals and Alloys (Dover, New York, 1958), pp. 254, 257, 264
Z.G. Khim, PhD thesis, University of Notre Dame, 1979
M. Dayan, J. Low Temp. Phys. 32, 643 (1978)
G. Gilat, Solid State Commun. 3, 101 (1965)
R. Stedman, L. Almqvist, G. Nilsson, Phys. Rev. 162, 549 (1967)
E.R. Cowley, Solid State Commun. 14, 587 (1976)
Y. Nakagawa, A.D. Woods, Phys. Rev. Lett. 11, 271 (1963)
J. Bostock, V. Diadiuk, W.N. Cheung, K.H. Lo, R.M. Rose, M.L.A. MacVicar, Phys. Rev. Lett. 36, 603 (1976)
G.B. Arnold, J. Zasadzinski, E.L. Wolf, Phys. Lett. 69A, 136 (1978)
J. Daams, J.P. Carbotte, J. Low Temp. Phys. 40, 135 (1980)
K.E. Kihlstrom, D.A. Collins, S.I. Park, Phys. Rev. B 39, 12257 (1989)
W.H. Butler, F.J. Pinski, P.B. Allen, Phys. Rev. B 19, 3708 (1979)
L.Y. Shen, Phys. Rev. Lett. 24, 1104 (1970)
E.L. Wolf, R.J. Noer, D. Burnell, G.B. Arnold, J. Phys. F, Met. Phys. 11, L23 (1981)
E.L. Wolf, D.M. Burnell, Z.G. Khim, R.J. Noer, J. Low Temp. Phys. 44, 89 (1981)
J. Tuoriniemi, K. Juntunen-Nurmilaukas, J. Uusvuori, E. Pentti, A. Salmela, A. Sebedash, Nature 447, 187 (2007)
K. Shimitzu, H. Ishikawa, D. Takao, T. Yagi, K. Amaya, Nature 419, 597 (2002)
D. Kasinathan, K. Koepernik, J. Kunes̆, H. Rosner, W.E. Pickett, Physica C 460–462, 133 (2007)
K. Shimitzu, T. Kimura, S. Furomoto, K. Takeda, K. Kontai, Y. Onuki, K. Amaya, Nature 412, 316 (2001)
S. Klotz, M. Braden, Phys. Rev. Lett. 85, 3209 (2000)
P.G. Tomlinson, J.P. Carbotte, Can. J. Phys. 55, 751 (1977)
M. Appapillai, A.R. Williams, J. Phys. F, Met. Phys. 3, 759 (1973)
F.J. Pinski, P.B. Allen, W.H. Butler, Phys. Rev. B 23, 5080 (1981)
H.K. Leung, J.P. Carbotte, D.W. Taylor, C.R. Leavens, Can. J. Phys. 54, 1585 (1976)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zheng, X.H., Walmsley, D.G. Extracting a More Realistic Pseudopotential for Aluminum, Lead, Niobium and Tantalum from Superconductor Electron Tunnelling Spectroscopy Data. J Low Temp Phys 166, 279–297 (2012). https://doi.org/10.1007/s10909-011-0446-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-011-0446-x