Abstract
Analysis of experimental results yields a scaling function of the form β(g)=121/g near the metal-insulator transition in three-dimensional systems. In two-dimensional electronic systems demonstrating a transition to an insulator state, the same relation holds for the function νβ, where ν is the critical exponent characterizing the divergence of the correlation length.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. Abrahams, P. W. Anderson, P. A. Lee, and T. V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979).
Y. Imry, Introduction to Mesoscopic Physics, Oxford University Press, New York, 1997.
B. L. Altshuler and A. G. Aronov, JETP Lett. 37, 410 (1983).
M. C. Maliepard, M. Pepper, R. Newbury, and G. Hill, Phys. Rev. Lett. 61, 369 (1988).
V. M. Teplinskii, V. F. Gantmakher, and O. I. Barkalov, Zh. Éksp. Teor. Fiz. 101, 1698 (1992) [Sov. Phys. JETP 74, 905 (1992)].
V. F. Gantmakher, V. N. Zverev, V. M. Teplinskii, and O. I. Barkaliov, Zh. Éksp. Teor. Fiz. 103, 1460 (1993) [JETP 76, 714 (1993)].
Y. Imry and Z. Ovadyahu, Phys. Rev. Lett. 49, 841 (1982).
V. F. Gantmakher, M. V. Golubkov, V. T. Dolgopolov et al., Phys. Rev. B, in press.
I. Shlimak, M. Kaveh, R. Ussyshkin et al., J. Phys.: Condens. Matter 9, 9873 (1997).
P. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).
M. P. A. Fisher, Phys. Rev. Lett. 65, 923 (1990).
M. P. A. Fisher, G. Grinshtein, and S. M. Girvin, Phys. Rev. Lett. 64, 587 (1990).
S. L. Sondhi, S. M. Girvin, J. P. Carini, and D. Shahar, Rev. Mod. Phys. 69, 315 (1997).
A. F. Hebard and M. A. Paalanen, Phys. Rev. Lett. 65, 927 (1990).
M. A. Paalanen, A. F. Hebard, and R. R. Ruel, Phys. Rev. Lett. 69, 1604 (1992).
A. Yazdani and A. Kapitulnik, Phys. Rev. Lett. 74, 3037 (1995).
S. Okuma, T. Terashima, and N. Kokubo, Solid State Commun. 106, 529 (1998).
S. V. Kravchenko, W. E. Mason, G. E. Bowker et al., Phys. Rev. B 51, 7038 (1995).
A scaling function was used previously to describe a quantum phase transition by Nam-Jung Kim, Dragana Popovic, and S. Washburn, http://xxx.lanl.gov/abs/cond-mat/9809357.
S. V. Kravchenko, D. Simonian, M. P. Sarachik et al., Phys. Rev. Lett. 77, 4938 (1996).
Author information
Authors and Affiliations
Additional information
Pis’ma Zh. Éksp. Teor. Fiz. 68, No. 11, 807–811 (10 December 1998)
Rights and permissions
About this article
Cite this article
Dolgopolov, V.T. Scaling function near a transition to an insulator state. Jetp Lett. 68, 848–852 (1998). https://doi.org/10.1134/1.567804
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.567804