UNIVERSAL STATISTICS OF ENERGY LEVELS AT THE METAL-INSULATOR TRANSITION
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quantum systemsАннотация
The nearest-neighbor level spacing distribution is numerically investigated by direct diagonalizing a disordered Anderson Hamiltonians for quantum systems. The level statistics scaling is examined near the metal-insulator transition and the correlation exponent is found. We suggest a new universal level spacing distribution at the critical point of the transition, which is related to the multifractality of the electron wavefunctions.Библиографические ссылки
1. Mehta M.L., Random Matrices, Academic Press, Boston, 1991, 523p.
2. Zharekeshev I. Kh. and Kramer B., Asymptotics of Universal Probability of Neighboring Spacings at the Anderson Transition, Phys. Rev. Lett. 1997, 79, 717-721.
3. Shklovskii B.I., Shapiro B., B. R. Sears B.R., Lambrianides P., and H. B. Shore H.B., Statistics of spectra of disordered systems near the metal-insulator transition, Phys. Rev. B, 1993, 47, 17, p. 11487-11491.
4. Zharekeshev I. Kh. and Kramer B., Universal Fluctuations in Spectra of Disordered Systems at the Anderson Transition, Japanese. J. Appl. Phys.,1995, 34, 4361-4366.
5. Efetov K.B., Supersymmetry in disorder and chaos. Cambridge University Press, 1999, Pp. xiii + 441.
6. Zharekeshev I.Kh., Kramer B., Numerical-scaling study of the statistics of energy levels at the Anderson transition, in book: Statistical and Dynamical Aspects of Mesoscopic Physics, Editors D. Reguera, G. Platero, L.L. Bonilla, and J.M. Rubi, Lecture Notes in Physics 547,
(Springer-Verlag, Berlin 2000) p. 237-251.
2. Zharekeshev I. Kh. and Kramer B., Asymptotics of Universal Probability of Neighboring Spacings at the Anderson Transition, Phys. Rev. Lett. 1997, 79, 717-721.
3. Shklovskii B.I., Shapiro B., B. R. Sears B.R., Lambrianides P., and H. B. Shore H.B., Statistics of spectra of disordered systems near the metal-insulator transition, Phys. Rev. B, 1993, 47, 17, p. 11487-11491.
4. Zharekeshev I. Kh. and Kramer B., Universal Fluctuations in Spectra of Disordered Systems at the Anderson Transition, Japanese. J. Appl. Phys.,1995, 34, 4361-4366.
5. Efetov K.B., Supersymmetry in disorder and chaos. Cambridge University Press, 1999, Pp. xiii + 441.
6. Zharekeshev I.Kh., Kramer B., Numerical-scaling study of the statistics of energy levels at the Anderson transition, in book: Statistical and Dynamical Aspects of Mesoscopic Physics, Editors D. Reguera, G. Platero, L.L. Bonilla, and J.M. Rubi, Lecture Notes in Physics 547,
(Springer-Verlag, Berlin 2000) p. 237-251.
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Физика конденсированного состояния и проблемы материаловедения. Нанонаука
