Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1998-01-14
Eur. Phys. J. B 7, 451-456 (1999)
Physics
Condensed Matter
Strongly Correlated Electrons
Second paper of a serie of four, to appear in Eur. Phys. J
Scientific paper
10.1007/s100510050633
For two particles in a disordered chain of length $L$ with on-site interaction $U$, a duality transformation maps the behavior at weak interaction onto the behavior at strong interaction. Around the fixed point of this transformation, the interaction yields a maximum mixing of the one body states. When $L \approx L_1$ (the one particle localization length), this mixing results in weak chaos accompanied by multifractal wave functions and critical spectral statistics, as in the one particle problem at the mobility edge or in certain pseudo-integrable billiards. In one dimension, a local interaction can only yield this weak chaos but can never drive the two particle system to full chaos with Wigner-Dyson statistics.
Pichard Jean-Louis
Waintal Xavier
Weinmann Dietmar
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