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Abstract : We present here a review of two problems motivated by 2D models for high T, superconductivity. The first part concerns the energy spectrum of 2D Bloch electrons in a uniform magnetic field. A semiclassical analysis provides a qualitative as well as a quantitative understanding of this spectrum. In the second part we make the case for the application of -Quantum Chaos- to strongly correlated fermion systems. It is illustrated by the level spacing distribution for the t - J model in two dimensions.





Author: Jean Bellissard Armelle Barelli

Source: https://hal.archives-ouvertes.fr/



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