Abstract
A review is given of the dielectric constant in symmetry-induced zero-gap semiconductors. Based on the random phase approximation we show that the dielectric constant contains an anomalous term which diverges in the infinite wavelength and zero frequency limit. The connection of this anomaly with the degenerate band edge structure is discussed in detail. Experimental verification of the dielectric anomaly is also discussed.
Preview
Unable to display preview. Download preview PDF.
References and Remarks
L. Liu and D. Brust, Phys. Rev. Lett. 20, 651 (1968); L. Liu and D. Brust, Phys. Rev. 173, 777 (1968).
W. Kohn, Phys. Rev. 117, 423 (1960).
D. Bohm and D. Pines, Phys. Rev. 92, 609 (1953).
H. Ehrenreich and M.H. Cohen, Phys. Rev. 115, 786 (1959).
P. Nozieres and D. Pines, Nuovo Cimento 9, 470 (1958).
D. Penn, Phys. Rev. 128, 2093 (1962).
D. Sherrington and W. Kohn, Phys. Rev. Lett 21, 153 (1968).
L. Liu and E. Tosatti, Phys. Rev. Lett. 23, 772 (1969); L. Liu and E. Tosatti, Phys. Rev. B2, 1926 (1970).
J.G. Broerman, Phys. Rev. Lett. 25, 1658 (1970).
J.G. Broerman, L. Liu and K.N. Pathak, Phys. Rev. B4, 664 (1971).
J.G. Broerman, Phys. Rev. B2, 1818 (1970).
B.L. Gelmont, V.I. Ivanov-Omskii, and V.K. Ogorodnikov, Phys. Stat. Sol.(b)69 717 (1975).
The electrons will be ionized from donor centers even at zero temperature. See L. Liu, Physics of Narrow Gap Semiconductors edited by J. Rauluszkiewicz, M. Gorska and E. Kaczmarek, Polish Scientific Publishers, Warszawa, 1978, P. 151.
J.G. Broerman, Phys. Rev. B5, 397 (1972).
M. Grynberg, R. Le Toullec and M. Balkanski, Phys. Rev. B9, 517 (1974).
J. Kowalski and W. Zawadzki, Solid State Commun. 13, 1433 (1973).
W. Leung and L. Liu, Phys. Rev. B7, 718 (1973).
M. Bailyn and L. Liu, Phys. Rev. T10, 759 (1974).
L. Liu, Phys. Rev. Lett. 30, 1044 (1973).
L. Liu and M. Tan, Solid State Commun. 13, 1747 (1973), L. Liu and M. Tan, Phys. Rev. B9, 632 (1974).
W. Zawadzki and J. Kowalski, Solid State Commun. 15, 303 (1974).
B.J. Roman and A.W. Ewald, Phys. Rev. B5, 3914 (1972).
E. O. Kane, J. Phys. Chem. Solids 1, 249 (1957).
L. J. Sham, Phys. Rev. 188, 1431 (1969); R.M. Pick, M.H. Cohen and R.M. Martin, Phys. Rev. B1, 910 (1970).
D. Sherrington, J. Phys. C — Solid State Phys. 4, 2771 (1971).
A. A. Abrikosov and S.D. Beneslavskii, Zh. Eksp. Teor. Fiz. 59, 1280 (1970) [English translation JETP 32, 699 (1971)]; J. Low Temp. Phys. 5, 141 (1971).
A. A. Abrikosov, Zh. Eksp. Teor. Fiz 66, 1443 (1974). [English translation JETP 39, 709 (1974).]
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this paper
Cite this paper
Liu, L. (1980). Dielectric anomalies in zero-gap semiconductors. In: Zawadzki, W. (eds) Narrow Gap Semiconductors Physics and Applications. Lecture Notes in Physics, vol 133. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-10261-2_34
Download citation
DOI: https://doi.org/10.1007/3-540-10261-2_34
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10261-8
Online ISBN: 978-3-540-38382-6
eBook Packages: Springer Book Archive