Abstract
A review is presented of recent work on the logarithmic corrections due to weak localization and interaction effects in the 2D electron gas in the silicon inversion layer. It is shown that very good agreement exists between experiment and theory, and that the two logarithmic corrections can be separated by a magnetic field or a combination of magnetic and electric fields. Unlike exponential localization in a band tail, the weak (power law) localization is suppressed by a magnetic field and it is suggested that this leads to the return of a discontinuity in conductance at zero temperature, i.e. a minimum metallic conductance. It is suggested that these corrections do not have any relevance to the quantized, 2D, Hall resistance.
Preview
Unable to display preview. Download preview PDF.
References
G.J.Dolan and D.D.Osheroff, Phys. Rev. Lett. 43, 721 (1979)
F.Koch in “Narrow Gap Semiconductors, Physics and Applications”, ed. W.Zawadzki, Springer, Berlin (1980) L511
D.C.Tsui and R.A.Logan, Appl. Phys. Lett 35, 99 (1979)
D.A.Poole, M.Pepper and R.J.Glew, to be published
N.F.Mott, M.Pepper, S.Pollitt, R.H.Wallis and C.J.Adkins, Proc. Roy. Soc. A345, 169 (1975)
F.F.Fang and A.B.Fowler, Phys. Rev. 169, 619 (1968)
F.Stern and W.E. Howard, Phys. Rev. T63, 816 (1967)
N.F.Mott, Electronics and Power 19, 32T (1973)
N.F.Mott, “Metal-Insulator Transitions”, London: Taylor and Francis (1974)
M.Pepper, S.Pollitt and C.J.Adkins, J. Phys. C 7, L273 (1974)
M.Pepper, Proc. Roy. Soc. A353, 225 (1977)
M.Pepper, Phil. Mag. 38, 515 (1978)
M.Nakai and M.Pepper, to be published
C.J.Adkins, S.Pollitt and M.Pepper, J. Physique 37, C4 343 (1976)
D.J.Bishop, D.C.Tsui and R.C. Dynes, Phys. Rev. Lett. 44, 1153 (1980)
E.Abrahams, P.W. Anderson, D.C.Licciardello and T.V.Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979)
B.L.Altshuler, A.G.Aronov and P.A.Lee, Phys. Rev. Lett. 44, 1288 (1980)
G.Polya, Math, Ann. 84, 149 (1921)
R.V.Haydock, Phil. Mag. B43, 203 (1981)
A.Houghton, A.Jericki, R.D.Kenway and A.M.M.Pruisken, Phys. Rev. Lett. 45, 394 (1980)
R.B.Allen, J. Phys. 13, L667 (1980)
C.H.Hodges, J. Phys. C 14, L247 (1980)
L.P.Gorkov, A.H.Larkin and D.Khmelnitzkii, J.E.T.P. Lett. 30, 299 (1979)
M.Kaveh and N.F.Mott, J. Phys. C 14, L177 (1981)
A slightly different form of power law localization is found by J.L. Pichard and G.Sarma, J. Phys. C, in the press
H.Fukuyama, J. Phys. Soc. Japan 48, 2169 (1980)
S.Hikami, A.I.Larkin and Y.Nagaoka, Prog. Theor. Phys. 63, 707 (1980)
B.L.Altshuler, D.Khmelnitzkii, A.I.Larkin and P.A.Lee, Phys. Rev. B 22, 5142 (1980)
M.Pepper, J. Non Crystalline Solids 32, 161 (1979)
B.L.Altshuler and A.G.Aronov, Solid State Comm. 30, 115 (1979)
M.Kaveh and N.F.Mott, J. Phys. C 14, L183 (1981)
H.Fukuyama, J. Phys. Soc. Japan 49, 644 (1980)
P.A.Lee and T.V.Ramakrishnan, private communication, to be published
P.W.Anderson, E.Abrahams and T.V.Ramakrishnan, Phys. Rev. Lett. 44, 1288 (1979)
Y.Kawaguchi, Y.Kitahara and S.Kawaji, Solid State Comm. 26, 701 (1978)
Y.Kawaguchi and S.Kawaji, J. Phys. Soc. Japan 48, 699 (1980)
M.J.Uren, R.A.Davies and M.Pepper, J. Phys. C 13, L985 (1980)
M.J.Uren, R.A.Davies, M.Kaveh and M.Pepper, J.Phys. C, in the press
R.A.Davies, M.J.Uren and M.Pepper, J. Phys. C, in the press
M.Kaveh, M.J.Uren, R.A.Davies and M.Pepper, J. Phys. C, in the press
K.von Klitzing, G.Dorda and M.Pepper, Phys. Rev. Lett. 45, 494 (1980)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Pepper, M. (1981). Localization and interaction effects in a two dimensional electron gas. In: Castellani, C., Di Castro, C., Peliti, L. (eds) Disordered Systems and Localization. Lecture Notes in Physics, vol 149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012556
Download citation
DOI: https://doi.org/10.1007/BFb0012556
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11163-4
Online ISBN: 978-3-540-38636-0
eBook Packages: Springer Book Archive