Quantum impurity solvers using a slave rotor representation

Details Quantum impurity solvers using a slave rotor representation Quantum impurity solvers using a slave rotor representation

2002-06-28

arxiv.org/abs/cond-mat/0206571v2

Phys. Rev. B 66, 165111 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 15 figures

Scientific paper

10.1103/PhysRevB.66.165111

We introduce a representation of electron operators as a product of a spin-carry ing fermion and of a phase variable dual to the total charge (slave quantum rotor). Based on this representation, a new method is proposed for solving multi-orbital Anderson quantum impurity models at finite interaction strength U. It consists in a set of coupled integral equations for the auxiliary field Green's functions, which can be derived from a controlled saddle-point in the limit of a large number of field components. In contrast to some finite-U extensions of the non-crossing approximation, the new method provides a smooth interpolation between the atomic limit and the weak-coupling limit, and does not display violation of causality at low-frequency. We demonstrate that this impurity solver can be applied in the context of Dynamical Mean-Field Theory, at or close to half-filling. Good agreement with established results on the Mott transition is found, and large values of the orbital degeneracy can be investigated at low computational cost.

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