1998

Comparing Mean Field and Euclidean Matching Problems

J. Houdayer 1, J. H. Boutet de Monvel 1, 2, O. C. Martin 1 European Physical Journal B 6 (1998) 383-393 Combinatorial optimization is a fertile testing ground for statistical physics methods developed in the context of disordered systems, allowing one to confront theoretical mean field predictions with actual properties of finite dimensional systems. Our focus here is on minimum matching problems,

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Chaos and Interacting Electrons in Ballistic Quantum Dots

D. Ullmo 1, 2, H. U. Baranger 1, K. Richter 3, F. Von Oppen 4, R. A. Jalabert 5 Physical Review Letters 80 (1998) 895-899 We show that the classical dynamics of independent particles can determine the quantum properties of interacting electrons in the ballistic regime. This connection is established using diagrammatic perturbation theory and semiclassical finite-temperature Green functions. Specifically, the orbital magnetism is greatly enhanced

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