1301.4923 (Heinrich Küttler et al.)

Anderson's Orthogonality Catastrophe for One-dimensional Systems    [PDF]

Heinrich Küttler, Peter Otte, Wolfgang Spitzer

We derive rigorously the leading asymptotics of the so-called Anderson integral in the thermodynamic limit for one-dimensional systems. The coefficient of the leading term is computed and shown to be strictly positive. This implies a non-trivial lower bound for the exponent in Anderson's orthogonality catastrophe pertaining to the ground states in systems of non-interacting fermions.

View original: http://arxiv.org/abs/1301.4923