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Localization of Two Interacting Particles in One-Dimensional Random Potential | | P. H. Song
; Doochul Kim
; | | Date: |
9 May 1997 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Affiliation: | Dept. of Physics, Seoul National Univ. | | Abstract: | We investigate the localization of two interacting particles in one-dimensional random potential. Our definition of the two-particle localization length, $xi$, is the same as that of v. Oppen et al. [Phys. Rev. Lett. 76, 491 (1996)] and $xi$’s for chains of finite lengths are calculated numerically using the recursive Green’s function method for several values of the strength of the disorder, $W$, and the strength of interaction, $U$. When U=0, $xi$ approaches a value larger than half the single-particle localization length as the system size tends to infinity and behaves as $xi sim W^{-
u_0}$ for small $W$ with $
u_0 = 2.1 pm 0.1$. When $U
eq 0$, we use the finite size scaling ansatz and find the relation $xi sim W^{-
u}$ with $
u = 2.9 pm 0.2$. Moreover, data show the scaling behavior $xi sim W^{-
u_0} g(|U|/W^Delta)$ with $Delta = 4.0 pm 0.5$. | | Source: | arXiv, cond-mat/9705081 | | Services: | Forum | Review | PDF | Favorites | |
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