On the Analyticity of Solutions in the Dynamical Mean-Field Theory

Details On the Analyticity of Solutions in the Dynamical Mean-Field Theory On the Analyticity of Solutions in the Dynamical Mean-Field Theory

2001-05-23

arxiv.org/abs/cond-mat/0105456v2

J. Phys.: Condens. Matter 13, 9455(2001)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure

Scientific paper

10.1088/0953-8984/13/42/306

The unphysical solutions of the periodic Anderson model obtained by H. Keiter and T. Leuders [Europhys. Lett. 49, 801(2000)] in dynamical mean-field theory (DMFT) are shown to result from the author's restricted choice of the functional form of the solution, leading to a violation of the analytic properties of the exact solution. By contrast, iterative solutions of the self-consistency condition within the DMFT obtained by techniques which preserve the correct analytic properties of the exact solution (e.g., quantum Monte-Carlo simulations or the numerical renormalization group) always lead to physical solutions.

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