Thermodynamically consistent description of criticality in models of correlated electrons

Article

关键词: DILUTE MAGNETIC-ALLOYS;    X-RAY-ABSORPTION;    RENORMALIZATION-GROUP;    CONSERVING APPROXIMATIONS;    ANDERSON MODEL;    HUBBARD-MODEL;    PARQUET DIAGRAMS;    SYSTEMS;    SINGULARITIES;    METALS;   

DOI  :  10.1103/PhysRevB.95.045108

来源: SCIE

【 摘 要 】

Criticality in models of correlated electrons emerges in proximity of a low-temperature singularity in a two-particle Green function. Such singularities are generally related to a symmetry breaking of the one-particle self-energy. A consistent description demands that the symmetry breaking in the self-energy emerges at the critical point of the respective two-particle function. This cannot easily be achieved in models of correlated electrons, since there are two ways connecting one- and two-electron functions that cannot be made fully equivalent in approximations. We present a general construction of diagrammatic two-particle approximations consistent with the one-particle functions so that both produce qualitatively the same quantum critical behavior in thermodynamically equivalent descriptions. The general scheme is applied on the single-impurity Anderson model to derive qualitatively the same Kondo critical scale from the spectral function and the magnetic susceptibility.

【 授权许可】

Free