Critical Exponents for Metal-Insulator Transition in Two-Dimensional Systems

• Authors: J. Wojtkiewicz
• Languages of publication: EN

Abstracts

EN

Three years ago, a new universality class, associated with the metal-insulator transition in quasi-two-dimensional compounds, was discovered. Imada has given explanation of the observed critical behaviour. Considerations in this work are based on the assumption that the one-particle dispersion is quartic one instead of the standard quadratic behaviour. In this paper, it is shown that other possible natural non-standard dispersions lead to other possible critical behaviour and critical exponents.

Keywords

EN

71.30.+h; 71.10.Fd; 02.40.Xx

Discipline

• 71.30.+h: Metal-insulator transitions and other electronic transitions
• 02.40.Xx: Singularity theory(see also 05.45.-a Nonlinear dynamics and chaos)
• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 5
• Pages: 931-934

Dates

published

2009-05

received

2008-11-13

(unknown)

2008-12-30

Contributors

author

J. Wojtkiewicz

• Department for Mathematical Methods in Physics, Faculty of Physics, University of Warsaw Hoża 74, 00-682 Warszawa, Poland

References

• 1. M. Imada, A. Fujimori, Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998)
• 2. F. Gebhard, The Mott Metal-Insulator Transition, Springer, Berlin 1997
• 3. D.B. McWhan, J.P. Remeika, Phys. Rev. B 2, 3734 (1970); D.B. McWhan, A. Menth, J.P. Remeika, W.F. Brinkman, T.R. Rice, Phys. Rev. B 7, 1920 (1973)
• 4. H. Kuwamoto, J.M. Honig, J. Appel, Phys. Rev. B 22, 2626 (1980)
• 5. P. Limelette, A. Georges, D. Jérome, P. Wzietek, P. Metcalf, J.M. Honig, Science 302, 89 (2003)
• 6. F. Kagawa, K. Miyagawa, K. Kanoda, Nature (London) 436, 534 (2005)
• 7. J. Spałek, A. Datta, J.M. Honig, Phys. Rev. Lett. 59, 728 (1987); J. Spałek, Postępy Fizyki (2006)
• 8. J.A. Hertz, Phys. Rev. B 14, 1165 (1976)
• 9. A.J. Millis, Phys. Rev. B 48, 7183 (1993)
• 10. M. Imada, Phys. Rev. B 72, 075113 (2005)
• 11. V.A. Vassilyev: Funkts. Anal. 11 (5), 3 (1977); V.I. Arnol'd, Varchenko, Gusein-Zade, Singularities of Differentiable Maps I, Birkhäuser, Boston 1985
• 12. J.J. Binney, N.J. Dowrick, A.J. Fisher, M.E.J. Newman, The Theory of Critical Phenomena. An Introduction to the Renormalization Group, Clarendon Press, Oxford 1992
• 13. T. Misawa, M. Imada, Phys. Rev. B 75, 115121 (2007)
• 14. H. R. Ott, G. Keller, W. Odoni, Phys. Rev. B 25, 477 (1982)

Identifiers

DOI

10.12693/APhysPolA.115.931