ISSN:
1434-6036
Keywords:
PACS. 05.45.+b Theory and models of chaotic systems - 72.15.Rn Quantum localization - 71.30.+h Metal-insulator transitions and other electronic transitions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: 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 (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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s100510050633
