CRITICAL STATISTICS OF ENERGY LEVEL IN DISORDERED SYSTEMS: I. ORTHOGONAL SYMMETRY CLASS
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Keywords:
electronic levels, metal-insulator, scaling,Abstract
The statistics of electronic levels of discrete spectra of disordered solids at the critical point of the metal-insulator transition are investigated. The single-parameter scaling for the orthogonal symmetry is established.References
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2. Efetov K.B. Supersymmetry in Disorder and Chaos. – Cambridge: Cambridge University, 1997. – 540 p.
3. Альтшулер Б.Л., Шкловский Б.И. Отталкивание энергетических уровней и проводимость малых металлических образцов // ЖЭТФ. – 1986. – Т.91, №7. – С. 220-234.
4. Zharekeshev I.Kh., Kramer B. Scaling of level statistics at the disorder-induced metalinsulator transition // Phys. Rev. B. – 1995. – Vol.51. – P. 17239-17242.
5. Kravtsov V.E., Lerner I.V. Effective plasma model for the level correlations at the mobility edge // J. Phys. A: Math. Gen. – 1995. – Vol.28. – P. 3623-3640.
6. Evangelou S.N. Level-spacing function P(S) at the mobility edge // Phys. Rev. B. – 1994. – Vol.49. – P. 16805-16808.
7. Zharekeshev I.Kh. Universal statistics of energy levels at the metal-insulator transition // Вестник КазНУ. Cерия физическая. – 2009. – Т.31, №4. – С.56-60.
8. Hofstetter E., Schreiber M. Relation between energy-level statistics and phase transition and its application to the Anderson model // Phys. Rev. B. – 1994. – Vol.49. – P. 14726-14729.
9. Brody T.A. Statistical measure for the repulsion of energy levels // Nuovo Cimento Lett. – 1973. – Vol.7. – P. 482-484.
10.Izrailev F.M. in Quantum Chaos – Measurement / ed. by P. Cvitanovic, I. Percival, A. Wirzba. – Kluwer Scientific Publishers, 1992. – P. 89-122.
11.Kravtsov V.E., Lerner I.V., Altshuler B.L., Aronov A.G. Universal spectral correlations at the mobility edge // Phys. Rev. Lett. – 1994. – Vol.72. – P. 888-891.
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Zharekeshev, I. K. (2017). CRITICAL STATISTICS OF ENERGY LEVEL IN DISORDERED SYSTEMS: I. ORTHOGONAL SYMMETRY CLASS. Recent Contributions to Physics, 2011(1), 37–45. Retrieved from https://bph.kaznu.kz/index.php/zhuzhu/article/view/117
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Condensed Matter Physics and Materials Science Problems. NanoScience
