Abstract
Accurate and detailed measurements of the temperature dependence of the longitudinal magnetoresistance of single-crystal Bi-Sb alloys have been made, with static magnetic fields in the range 0–100 kG oriented parallel to the trigonal axis. Alloy concentrations were in the range 8–12 at.% Sb, and temperatures in the range 1–35 K. At very high fields the resistance increases with increasing temperature in a metallic manner with “ideal” and “residual” components, in contrast to the semiconductor behavior observed at zero field or low fields. For the high-field semimetal regime the electrical resistance behaves in a simple manner similar to a metal in zero field, in contrast to the complicated magnetoresistance phenomena for metals in low fields. This behavior can be understood in terms of a simple quasi-one-dimensional extreme-quantum-limit regime. The magnetic-field-induced semiconductor-semimetal transition is associated with an energy gap and changes of the energy-band structure which are of order 1 meV. Thermal activation energies for electrical conduction manifest this gap only at temperatures below approximately 20 K. Activation energies an order of magnitude larger which have been measured at considerably higher temperatures are apparently the direct gap at theL-point in the Brillouin zone and are not directly connected with the semiconductor-semimetal transition. Our results indicate that the zero-field indirectL-T energy gap increases from zero somewhere near 7–8 at. % Sb to values only as large as approximately 1.5 meV at 12 at. % Sb. At the magnetic-field induced transition there occurs evidence of an intermediate “excitonic insulator” phase, a resistance minimum below 10 K reminiscent of the Kondo alloy behavior. This anomalous regime is a property of the semiconductor-to-semimetal transition and cannot be associated with the well-known temperature and magnetic-field “freeze-out” of charge carriers in extrinsic semiconductors, or with magnetic ordering of the Kondo type.
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References
L. S. Lerner, K. F. Cuff, and L. R. Williams,Rev. Mod. Phys. 40, 770 (1968).
N. B. Brandt and E. A. Svistova,J. Low Temp. Phys. 2, 1 (1970); a number of publications by Brandt and coworkers are reviewed here.
S. Otake and S. Koike,J. Phys. Soc. Japan 24, 1176 (1968).
M. C. Steele,Phys. Rev. 97, 1720 (1955).
E. W. Fenton,Phys. Rev. 170, 816 (1968).
A. A. Abrikosov,J. Low Temp. Phys. 2, 37, 175 (1970).
J. Cizek and J. Paldus,J. Chem. Phys. 47, 3976 (1967); H. Fukutome,Progr. Theoret. Phys. 40, 998, 1227 (1968); E. W. Fenton,Phys. Rev. Letters 21, 1427 (1968).
J. Paldus and J. Cizek,J. Chem. Phys. 53 (Aug. 15, 1970) to be published. R. A. Harris and L. M. Falicov,J. Chem. Phys. 50, 4590 (1969); and references cited in these papers.
T. M. Rice, A. S. Barker, B. I. Halperin, and D. B. McWhan,J. Appl. Phys. 40, 1337 (1969); S. N. Behera and K. S. Viswanathan,Can. J. Phys. 47, 477 (1969); and references cited therein.
K. F. Cuff, private communication.
S. M. Bhagat and D. D. Manchon,Phys. Rev. 164, 966 (1967).
Yi-Han Kao, R. D. Brown, and R. L. Hartman,Phys. Rev. 136, A858 (1964).
N. B. Brandt, L. G. Lyubitina, and N. A. Kryukova,Zh. Eksperim. i Teor. Fiz. 53, 134 (1967); English transl.Soviet Phys.—JETP 26, 93 (1968).
S. Golin,Phys. Rev. 176, 830 (1968).
E. J. Tichovolsky and J. G. Mavroides,Solid State Commun. 7, 927 (1968).
A. L. Jain,Phys. Rev. 114, 1518 (1959).
G. E. Smith, G. A. Baraff, and J. M. Rowell,Phys. Rev. 135, A1118 (1964).
A. A. Abrikosov,Zh. Eksperim. i Teor. Fiz. 56, 1391 (1969); English transl.Soviet Phys.—JETP 29, 746 (1969).
P. E. Hanley and E. H. Rhoderick,J. Phys. Chem. (Gr. Br.) 2, 365 (1969).
D. M. Brown and S. J. Silverman,Phys. Rev. 136, A290 (1964).
H. P. D. Lanyon,Phys. Rev. 130, 134 (1963).
R. Kuboet al., Solid State Phys. 17, 269 (1965).
M. D. Daybell and W. A. Steyert,Rev. Mod. Phys. 40, 380 (1968).
H. R. Riedl,Phys. Rev. 127, 162 (1962).
D. Balla and N. B. Brandt,Zh. Eksperim. i Teor. Fiz. 47, 1653 (1964); English transl.Soviet Physics—JETP 20, 1111 (1965).
N. B. Brandt and Ya. G. Ponomarev,Zh. Eksperim. i. Teor. Fiz. 50, 367 (1966); English transl.Soviet Physics—JETP 23, 244 (1966).
D. Jerome, T. M. Rice, and W. Kohn,Phys. Rev. 158, 462 (1967).
B. I. Halperin and T. M. Rice,Solid State Phys. 21, 115 (1968).
E. W. Fenton and R. R. Haering,Phys. Rev. 159, 593 (1967).
G. V. Chester, M. E. Fisher, and N. D. Mermin,Phys. Rev. 185, 760 (1969).
A. A. Galkin and O. M. Ignat'ev,Zh. Experim. i Teor. Fiz., Pisma v Red. 8, 290 (1968); English transl.:JETP Letters 8, 178 (1968).
E. N. Adams and T. D. Holstein,Phys. Chem. Solids 10, 254 (1959).
J. W. McClure and W. J. Spry,Phys. Rev. 165, 809 (1968).
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Fenton, E.W., Jan, J.P. & Karlsson, Å. Magnetic-field-induced semiconductor-semimetal transition in Bi-Sb alloys. J Low Temp Phys 3, 147–174 (1970). https://doi.org/10.1007/BF00628324
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DOI: https://doi.org/10.1007/BF00628324