Abstract
The localization properties of two interacting particles in a two dimensional random potential are calculated by three different numerical procedures. These procedures focus on the nearest level spacing distribution, the inverse participation ratio of the states, and the two-particle decay length in long bars, respectively, and incorporate scaling techniques for the extrapolation of the data. Both short-range and long-range Coulomb interactions are considered. We always find a localized to extended states transition independently of the particle statistics and of the type of interaction. For low disorders, the interaction strongly mixes most unperturbed states, even those corresponding to electrons far apart.
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References
Altshuler B.L.and Shklovskii B.I.(1986):Zh.Eksp.Teor.Fiz.91, 220 [Sov.Phys. JETP 64,127 (1986)]
Castellani C., Di Castro C. and Lee P.A.(1998): Phys.Rev. B 57, R9381
Cuevas E.(1999): Phys.Rev.Lett. 83,140
Cuevas E.and Ortuño M.(1999):Ann.Phys.(Leipzig),in press
Cullum J.K.and Willoughby R.A.(1985):Lanczos Algorithms for Large Symmetric Eigenvalue Computations (Birkhauser, Basel)
Finkelstein A.M.(1983): Zh.Eksp.Teor.Fiz.84,168 [Sov.Phys.JETP 57,97 (1983)]
Kravchenko S.V., Simonian D., Sarachik M.P., Mason W.and Furneaux J.E.(1996): Phys.Rev.Lett.77, 4938
Lee P.A.and Ramakrishnan T.V.(1985):Rev.Mod.Phys.57, 287
MacKinnon A.and Kramer B.(1983):Z.Phys.B 53,1
Ortuño M.and Cuevas E.(1999):Europhys.Lett.46, 224
Popović D., Fowler A.B. and Washburn S.(1997): Phys.Rev.Lett.79,1543
Römer R.A., Leadbeater M.and Schreiber M.(1999):Ann.Phys.(Leipzig),in press
Schweitzer L.and Zharekeshev Kh.(1995):J.Phys.:Con.Mat.7, L377
Shepelyansky D.L.(1999):cond-mat/9902246
Shklovskii B.I., Shapiro B., Sears B.R., Lambrianides P.and Shore H.B.(1993): Phys.Rev. B 47, 11487
Song P.H. and von Oppen F.(1999): Phys.Rev. B 59,46
von Oppen F., Wettig T.,and Müller J.(1996): Phys.Rev.Lett.76, 491
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© 1999 Springer-Verlag Berlin Heidelberg
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Ortuño, M., Cuevas, E. (1999). Two Interacting articles in a Two-Dimensional Random Potential. In: Reguera, D., Rubí, J.M., Platero, G., Bonilla, L.L. (eds) Statistical and Dynamical Aspects of Mesoscopic Systems. Lecture Notes in Physics, vol 547. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45557-4_20
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DOI: https://doi.org/10.1007/3-540-45557-4_20
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