Abstract:
We study the influence of many-particle interactions on a metal-insulator transition. We consider the two-interacting-particle problem for onsite interacting particles on a one-dimensional quasiperiodic chain, the so-called Aubry-André model. We show numerically by the decimation method and finite-size scaling that the interaction does not modify the critical parameters such as the transition point and the localization-length exponent. We compare our results to the case of finite density systems studied by means of the density-matrix renormalization scheme.
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Received 28 June 2001
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Eilmes, A., Römer, R. & Schreiber, M. Localization properties of two interacting particles in a quasi-periodic potential with a metal-insulator transition. Eur. Phys. J. B 23, 229–234 (2001). https://doi.org/10.1007/s100510170072
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DOI: https://doi.org/10.1007/s100510170072