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Phase Distribution in a Disordered Chain and the Emergence of a Two-parameter Scaling in the Quasi-ballistic to the Mildly Localized Regime | | Asok K. Sen
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26 Oct 1997 | | Journal: | Mod. Phys. Lett. B, vol.11, pages 555-564, 1997 | | Subject: | Disordered Systems and Neural Networks; Mesoscopic Systems and Quantum Hall Effect | cond-mat.dis-nn cond-mat.mes-hall | | Abstract: | We study the phase distribution of the complex reflection coefficient in different configurations as a disordered 1D system evolves in length, and its effect on the distribution of the 4-probe resistance $R_4$. The stationary ($L o infty$) phase distribution is almost always strongly non-uniform and is in general double-peaked with their separation decaying algebraically with growing disorder strength to finally give rise to a single narrow peak at infinitely strong disorder. Further in the length regime where the phase distribution still evolves with length (i.e., in the quasi-ballistic to the mildly localized regime), the phase distribution affects the distribution of the resistance in such a way as to make the mean and the variance of $log(1+R_4)$ diverge independently with length with different exponents. As $L o infty$, these two exponents become identical (unity). Obviously, these facts imply two relevant parameters for scaling in the quasi-ballistic to the mildly localized regime finally crossing over to one-parameter scaling in the strongly localized regime. | | Source: | arXiv, cond-mat/9710278 | | Services: | Forum | Review | PDF | Favorites | |
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