Quantal percolation problems
作者： T Odagaki , N Ogita , H Matsuda
DOI: 10.1088/0022-3719/13/2/006
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摘要: A percolation process concerned with the properties of quantum mechanical particles moving in a random medium is investigated numerically. The characteristics are introduced same manner as classical method: site problem, any has fixed probability x being unblocked, whereas bond p unblocked. If xcQ (or pcQ) maximum value p) for which particle attached to does not diffuse away, it shown both problems on square lattice that xcQ(pQc) very close critical case. one-particle density states such systems also discussed.
sci-hub.se 参考文章(11)
S. R. Broadbent, J. M. Hammersley, Percolation processes. I. Crystals and Mazes Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 53, pp. 629- 641 ,(1957) , 10.1017/S0305004100032680
Scott Kirkpatrick, Percolation and Conduction Reviews of Modern Physics. ,vol. 45, pp. 574- 588 ,(1973) , 10.1103/REVMODPHYS.45.574
Takashi Odagaki, Naofumi Ogita, Hirotsugu Matsuda, Percolation Approach to the Metal-Insulator Transition in Super-Critical Fluid Metals Journal of the Physical Society of Japan. ,vol. 39, pp. 618- 624 ,(1975) , 10.1143/JPSJ.39.618
Takashi Odagaki, Naofumi Ogita, Hirotsugu Matsuda, Percolation Approach to the Metal-Insulator Transition in Super-Critical Fluid Metals. II. –Quantal Percolation Approach– Journal of the Physical Society of Japan. ,vol. 46, pp. 1087- 1091 ,(1979) , 10.1143/JPSJ.46.1087
Vinod K.S. Shante, Scott Kirkpatrick, An introduction to percolation theory Advances in Physics. ,vol. 20, pp. 325- 357 ,(1971) , 10.1080/00018737100101261
J M Ziman, The localization of electrons in ordered and disordered systems I. Percolation of classical particles Journal of Physics C: Solid State Physics. ,vol. 1, pp. 1532- 1538 ,(1968) , 10.1088/0022-3719/1/6/308
Scott Kirkpatrick, Thomas P. Eggarter, Localized States of a Binary Alloy Physical Review B. ,vol. 6, pp. 3598- 3609 ,(1972) , 10.1103/PHYSREVB.6.3598
Richard Zallen, Harvey Scher, Percolation on a Continuum and the Localization-Delocalization Transition in Amorphous Semiconductors Physical Review B. ,vol. 4, pp. 4471- 4479 ,(1971) , 10.1103/PHYSREVB.4.4471
D.J. Thouless, Electrons in disordered systems and the theory of localization Physics Reports. ,vol. 13, pp. 93- 142 ,(1974) , 10.1016/0370-1573(74)90029-5
Thomas P. Eggarter, Semiclassical Theory of Electron Transport Properties in a Disordered Material Physical Review A. ,vol. 5, pp. 2496- 2509 ,(1972) , 10.1103/PHYSREVA.5.2496