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Few interacting particles in a random potential D.L.SHEPELYANSKY (a) and O.P.SUSHKOV (a,b)



Abstract: We study the localization length of few interacting particles in a random potential. Concentrating on the case of three particles we show that their localization length is strongly enhanced comparing to the enhancement for two interacting particles. PACS. 72.15Rn- Quantum localization PACS. 71.30+h- Metal-insulator transition 1 Recently it had been shown that in a random potential two repulsing/attracting particles can propagate coherently on a distance lc which is much larger than one particle localization length l1 in absence of interaction [1]. In some sense interaction destroys quantum interference which leads to one-particle localization and creates an effective pair of two particles of size l1 propagating on a large distance. For better understanding of this result Imry developped [2] a scaling block picture of localization for interacting particles which can be applied in principle for a larger number of particles and higher dimensions. Intensive numerical investigations of Pichard and coworkers [3] and von Oppen and coworkers [4] confirmed the existence of the two interacting particles (TIP) effect. While some additional checks are still required the results [3, 4] definitely show that i

Year: 1996
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