Abstract
The results are presented from an experimental study of the gapless state produced in semiconducting alloysBi 1−x Sb x by pressure-induced band inversion. The magnetoresistance properties of the alloys have been investigated both in weak magnetic fields (μH « 1) and in strong fields (H≤75 kOe) at liquidhelium temperatures in the Sb concentration interval 0.06≤x≤0.15 and pressure interval 1 bar ≤p<20 kbar. At pressuresp close to the pressurep k at which the gapless state is realized a “semiconductor-semimetal-semiconductor” transition is detected inBi 1−x Sb x alloys withx=0.070 and 0.071. The rates of change of the gap ε gL before and after inversion are determined: −(2.5±0.5)×10−6 eV/bar and (1.5±0.5)×10−6 eV/bar, respectively. A reduction in the carrier effective mass as ε gL → 0 is observed down to values of ∼ 10−4 m 0. It is shown that as ε gL → 0 the carrier mobilities in the alloys increase abruptly, the effect being a maximum in the purest alloys, where forT=4.2 K the mobility along the binary axis attains the record-high value of ∼ 3×108 cm2/V · sec.
Similar content being viewed by others
References
A. A. Abrikosov and S. D. Beneslavskii,Zh. Eksperim. i Teor. Fiz. 59, 1280 (1970);J. Low Temp. Phys. 5, 141 (1971).
A. A. Abrikosov,J. Low Temp. Phys. (in press).
S. Groves and W. Paul,Compt. Rend. Congrès Internat. Phys. Semicond. (Paris, 1964).
C. Vérié,Phys. Stat. Sol. 17, No. 2, 889 (1966).
J. O. Dimmock, I. Melngailis, and A. J. Strauss,Phys. Rev. Letters 16, 1193 (1966); A. J. Strauss,Phys. Rev. 176, 830 (1968).
E. J. Tichovolsky and J. G. Mavroides,Solid State Commun. 7, 927 (1969).
N. B. Brandt, E. A. Svistova, and R. G. Valeev,Zh. Eksperim. i Teor. Fiz. 55, 469 (1968).
N. B. Brandt, Kh. Dittmann, Ya. G. Ponomarev, and S. M. Chudinov,ZhÉTF Pis. Red. 11, 250 (1970).
N. B. Brandt, S. M. Chudinov, and V. G. Karavaev,Zh. Eksperim. i Teor. Fiz. 61, 8 (1971).
N. B. Brandt, Kh. Dittmann, and Ya. G. Ponomarev,Fiz. Tverd. Tela (in press).
N. B. Brandt, T. F. Dolgolenko, and N. N. Stupochenko,Zh. Eksperim. i. Teor. Fiz. 45, 1320 (1963).
V. S. Édel'man and M. S. Khaikin,Zh. Eksperim. i Teor. Fiz. 49, 107 (1965).
G. E. Smith, G. A. Baraff, and J. M. Rowell,Phys. Rev. 135A, 1118 (1964).
R. N. Zitter,Phys. Rev. 127, No. 5, 1471 (1962).
R. D. Brown, J. G. Mavroides, and B. Lax,Phys. Rev. 129, 2055 (1963).
R. D. Brown,Phys. Rev. 2, No. 4, 928 (1970).
N. B. Brandt, V. A. Yastrebova, and Ya. G. Ponomarev,Fiz. Tverd. Tela (in press).
N. B. Brandt, L. G. Lyubutina, and N. A. Kryukova,Zh. Eksperim. i Teor. Fiz. 53, 134 (1967).
Y. H. Kao,Phys. Rev. 129, 1122 (1963).
H. Chu and Y. H. Kao,Phys. Rev. 1, No. 6, 2369 (1970);1, No. 6, 2377 (1970).
L. S. Lerner, K. F. Cuff, and R. L. Williams,Rev. Mod. Phys. 40, 770 (1968).
L. Wehrli,Phys. Kond. Mat. 8, 87 (1968).
D. M. Brown and S. J. Silverman,Phys. Rev. 136A, 290 (1964).
N. B. Brandt, E. A. Svistova, and M. V. Semenov,Zh. Eksperim. i Teor. Fiz. 59, 434 (1970).
N. B. Brandt and S. M. Chudinov,Zh. Eksperim. i Teor. Fiz. 59, 1494 (1970).
N. B. Brandt, Kh. Dittmann, and Ya. G. Ponomarev,Fiz. Tverd. Tela 13, 2860 (1971).
G. A. Antcliffe,Phys. Letters 28A, 601 (1969).
D. M. Brown and F. K. Heumann,J. Appl. Phys. 35, 1947 (1964).
Y. Fujimoru,Mem. Fac. Sci. Kyushu Univ., Ser. B 4, 47 (1969).
M. Dugué,Phys. Stat. Sol. 11, 149 (1965).
N. B. Brandt and Ya. G. Ponomarev,Zh. Eksperim. i Teor. Fiz. 50, 367 (1966).
N. B. Brandt and E. A. Svistova,J. Low Temp. Phys. 2, 1 (1970).
S. Golin,Phys. Rev. 166, 643 (1968).
S. Golin,Phys. Rev. 176, 830 (1968).
M. S. Dresselhaus and J. G. Mavroides,Phys. Rev. Letters 14, 259 (1966).
A. A. Abrikosov and L. A. Fal'kovskii,Zh. Eksperim. i Teor. Fiz. 43, 1089 (1962).
S. Mase,J. Phys. Soc. Japan 13, 434 (1958);14, 584 (1959).
L. G. Ferreira,J. Phys. Chem. Solids 28, 1891 (1967);29, 357 (1968).
L. A. Fal'kovskii and G. S. Razina,Zh. Eksperim. i Teor. Fiz. 49, 265 (1965).
B. Lax, J. G. Mavroides, H. J. Zeiger, and R. J. Keyes,Phys. Rev. Letters 5, 241 (1960).
M. H. Cohen,Phys. Rev. 121, 387 (1961).
D. Balla and N. B. Brandt,Zh. Eksperim. i Teor. Fiz. 47, 1653 (1964).
E. S. Itskevich and L. M. Fisher,Zh. Eksperim. i Teor. Fiz. 53, 98 (1967);53, 1885 (1967).
N. B. Brandt and Ya. G. Ponomarev,Zh. Eksperim. i Teor. Fiz. 55, 1215 (1968).
L. D. Jennings and C. A. Swenson,Phys. Rev. 112, 31 (1958).
N. E. Alekseevskii, N. B. Brandt, and T. I. Kostina,Izv. Akad. Nauk SSSR, Ser. Fiz. 16, 233 (1952).
Y. G. Ponomarev,Cryogenics, No. 12, 371 (1962).
L. S. Lerner,Phys. Rev. 127, 1480 (1962).
N. B. Brandt,Prib. i Tekh. Eksperim., No. 2, 138 (1956).
A. N. Friedman and S. H. Koenig,IBM J. Res. Devel. 4, 158 (1960).
W. S. Boyle and A. D. Brailsford,Phys. Rev. 120, 1943 (1960).
V. L. Bonch-Bruevich,Solid State Physics (Moscow, 1965).
E. N. Adams and T. D. Holstein,J. Phys. Chem. Solids 10, 254 (1959).
I. M. Lifshits and A. M. Kosevich,Zh. Eksperim. i Teor. Fiz. 29, 330 (1955).
G. A. Baraff,Phys. Rev. 137A, 842 (1965).
L. M. Falicov and P. J. Lin,Phys. Rev. 141, 562 (1966).
L. M. Falicov and S. Golin,Phys. Rev. 137A, 871 (1965).
J. Kolodziejczak and S. Zukotynski,Phys. Stat. Sol. 5, 145 (1964).
C. Herring and E. Vogt,Phys. Rev. 101, 944 (1956).
H. Brooks,Phys. Rev. 83, 879 (1951).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brandt, N.B., Ponomarev, Y.G. & Chudinov, S.M. Investigation of the gapless state in bismuth-antimony alloys. J Low Temp Phys 8, 369–420 (1972). https://doi.org/10.1007/BF00653870
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00653870