Abstract
We give a short review of the attempts to understand the correlation-induced metal insulator transition as described by the Hubbard model within the general frame of critical phenomena. We describe two recent approaches: the first one introduces an effective Hamiltonian to make explicit the mechanisms of various transitions expected for the model, the second one allows for a Monte Carlo simulation of condensed matter systems involving fermionic degrees of freedom, useful for an exploration of the phase diagram of the system.
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Castellani, C., Di Castro, C., Peliti, L. (1981). Localization in ordered systems. In: Castellani, C., Di Castro, C., Peliti, L. (eds) Disordered Systems and Localization. Lecture Notes in Physics, vol 149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012563
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DOI: https://doi.org/10.1007/BFb0012563
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