The Fermi surface of niobium has been investigated using the de Haas-van Alphen effect. Data were taken at temperatures as low as 0.3 K and in fields as high as 130 kG. An on-line minicomputer was used to Fourier-transform the digitized signals. Many new extremal area data have been obtained, including oscillations associated with the previously unobserved γ-centered hole octahedron and γ and N-centered orbits on the so-called jungle gym. An additional set of signals has been observed near [100], which are thought to be a result of magnetic breakdown between the second zone octahedron and third zone jungle gym. A separate low-frequency signal was observed and is believed to be a result of magnetic-breakdown-induced quantum interference oscillations. Anisotropies of the cyclotron effective mass have been determined for many orbits on all three of the Fermi surface sheets. Finally, the area data have been used to parametrize the Fermi surface in terms of scattering phase shifts in a Korringa-Kohn-Rostoker band structure formalism.
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References
D. K. Finnemore, T. F. Stromberg, and C. A. Swenson, Phys. Rev. 149, 231 (1966).
V. Novotny and P. P. M. Meincke, J. Low Temp. Phys. 18, 147 (1975).
W. L. McMillan, Phys. Rev. 163, 331 (1968).
P. B. Allen and R. C. Dynes, Phys. Rev. B 12, 905 (1975).
B. L. Gyorffy, to be published.
B. M. Klein and D. A. Papaconstantopoulos, Phys. Rev. Lett. 32, 1193 (1974); J. Phys. F: Metal Phys. 6, 1135 (1976).
R. Evans, G. D. Gaspari, and B. L. Gyorffy, J. Phys. F: Metal Phys. 3, 39 (1973).
G. D. Gaspari and B. L. Gyorfry, Phys. Rev. Lett. 28, 801 (1972).
B. N. Harmon and S. K. Sinha, Bull. Am. Phys. Soc. 22, 262 (1977); B. N. Harmon and S. K. Sinha, to be published.
W. H. Butler and P. B. Allen, Second Rochester Conference on d- and f-Band Superconductors (1976).
W. H. Butler, J. J. Olson, J. S. Faulkner, and B. L. Gyorffy, to be published.
L. L. Boyer, D. A. Papaconstantopoulos, and B. M. Klein, Phys. Rev. B 15, 3685 (1977).
G. B. Scott and M. Springford, Proc. Roy. Soc. Lond. A 320, 115 (1970).
M. H. Halloran, J. H. Condon, J. E. Graebner, J. E. Kunzler, and F. S. L. Hsu, Phys. Rev. B 1, 366 (1970).
L. F. Mattheiss, Phys. Rev. 139, A1893 (1965).
L. F. Mattheiss, Phys. Rev. B 1, 373 (1970).
R. A. Deegan and W. D. Twose, Phys. Rev. 164, 993 (1967).
R. N. Euwema, Phys. Rev. B 4, 4432 (1971).
J. R. Anderson, D. A. Papaconstantopoulos, J. W. McCaffrey, and J. E. Schirber, Phys. Rev. B 7, 5115 (1973).
N. Elyashar and D. D. Koelling, Phys. Rev. B 13, 5362 (1976).
N. Elyashar and D. D. Koelling, Phys. Rev. B 15, 3620 (1977).
N. Elyashar, Ph.D. Thesis, University of Illinois at Chicago (1975). Available from University Microfilms, Ann Arbor, Michigan.
S. Wakoh, Y. Kubo, and J. Yamashita, J. Phys. Soc. Japan 38, 416 (1975).
G. S. Painter, J. S. Faulkner, and G. M. Stocks, Phys. Rev. B 9, 2448 (1974).
J. B. Ketterson, D. D. Koelling, J. C. Shaw, and L. R. Windmiller, Phys. Rev. B 11, 1447 (1975).
J. A. Hoekstra and J. L. Stanford, Phys. Rev. B 8, 1416 (1973).
A. G. Thornsen and T. G. Berlincourt, Phys. Rev. Lett. 7, 244 (1961).
E. Fawcett, W. A. Reed, and R. R. Soden, Phys. Rev. 159, 533 (1967).
W. A. Reed and R. R. Soden, Phys. Rev. 173, 677 (1968).
G. W. Mellors and S. Senderoff, J. Electrochem. Soc. 112, 226 (1965).
R. W. Meyerhoff, J. Electrochem. Soc. 118, 997 (1971).
D. Shoenberg and P. J. Stiles, Proc. Roy. Soc. Lond. A 281, 62 (1964).
R. W. Stark and L. R. Windmiller, Cryogenics 8, 272 (1968).
L. R. Windmiller and J. B. Ketterson, Rev. Sci. Instr. 39, 1672 (1968).
L. R. Windmiller, J. B. Ketterson, and J. C. Shaw, ANL Report 7907 (1972).
J. W. Cooley and J. W. Tukey, Math. Comput. 19, 297 (1965).
O. V. Lounasmaa, Experimental Principles and Methods below 1 K (Academic Press, 1974), p. 246.
T. R. Roberts and S. G. Sydoriak, Phys. Rev. 102, 304 (1956).
I. M. Lifshitz and A. M. Kosevich, Zh. Eksp. Teor. Fiz. 29, 730 (1955).
R. A. Phillips, U.S. AEC Report No. IS-T-170 (1967).
R. W. Stark and C. B. Friedberg, Phys. Rev. Lett. 26, 556 (1971).
R. W. Stark and C. B. Friedberg, J. Low Temp. Phys. 14, 111 (1974).
L. M. Falicov and H. Stachowiak, Phys. Rev. 147, 505 (1966).
J. M. Ziman, Principles of the Theory of Solids, 2nd ed. (Cambridge Univ. Press, 1972).
B. Bosacchi, J. B. Ketterson, and L. R. Windmiller, Phys. Rev. B 4, 1197 (1971).
D. J. Roaf, Phil. Trans. Roy. Soc. Lond. A 255, 135 (1962).
M. R. Halse, Phil. Trans. Roy. Soc. Lond. A 265, 507 (1969).
I. M. Lifshiftz and A. V. Pogorelov, Dokl. Akad. Nauk. SSSR 96, 1145 (1954) [Sov. Phys.—JETP 2, 636 (1956)].
F. M. Mueller, Phys. Rev. 148, 636 (1966).
B. Segall and F. J. Ham, Methods Comp. Phys. 8, 251 (1968).
J. C. Slater, Phys. Rev. 51, 846 (1937).
J. Korringa, Physica (Utr.) 13, 392 (1947).
W. Kohn and N. Rostoker, Phys. Rev. 94, 1111 (1954).
J. C. Shaw, J. B. Ketterson, and L. R. Windmiller, Phys. Rev. B 5, 3894 (1972).
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Work performed under the auspices of the U.S. Energy Research and Development Administration and the National Science Foundation under Grant DMR-74-12186.
Supported in part by a stipend from the Argonne Center for Educational Affairs.
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Karim, D.P., Ketterson, J.B. & Crabtree, G.W. A de Haas-van Alphen study of niobium: Fermi surface, cyclotron effective masses, and magnetic breakdown effects. J Low Temp Phys 30, 389–423 (1978). https://doi.org/10.1007/BF00114959
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DOI: https://doi.org/10.1007/BF00114959