Anderson impurity model at finite Coulomb interaction U: generalized Non-crossing Approximation

Details Anderson impurity model at finite Coulomb interaction U: generalized Non-crossing Approximation Anderson impurity model at finite Coulomb interaction U: generalized Non-crossing Approximation

2001-05-25

arxiv.org/abs/cond-mat/0105490v2

Phys. Rev. B 64, 155111 (2001).

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 6 figures

Scientific paper

10.1103/PhysRevB.64.155111

We present an extension of the non-crossing approximation (NCA), which is widely used to calculate properties of Anderson impurity models in the limit of infinite Coulomb repulsion $U\to\infty$, to the case of finite $U$. A self-consistent conserving pseudo-particle representation is derived by symmetrizing the usual NCA diagrams with respect to empty and doubly occupied local states. This requires an infinite summation of skeleton diagrams in the generating functional thus defining the ``Symmetrized finite-U NCA'' (SUNCA). We show that within SUNCA the low energy scale $T_K$ (Kondo temperature) is correctly obtained, in contrast to other simpler approximations discussed in the literature.

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