Kondo Crossover In The Self-Consistent One-Loop Approximation"

Details Kondo Crossover In The Self-Consistent One-Loop Approximation" Kondo Crossover In The Self-Consistent One-Loop Approximation"

1993-09-28

arxiv.org/abs/cond-mat/9309046v1

Physics

Condensed Matter

19 pages in REVTEX 2.0, 2 tables, 3 figures. Submitted to Phys. Rev. B. The reference .bbl file is appended at the end. 3 figu

Scientific paper

10.1103/PhysRevB.48.16547

The free energy and magnetization for the general $SU(N)$ one impurity Kondo model in the magnetic field, $h$, are calculated by extending the previous $1/N$ expansion technique: the saddle point is determined self-consistently to the $1/N$ order. The obtained universal field dependent magnetization $M(h/T_{K})$ by this simple method is shown analytically to be asymptotically exact at both $h \ll T_{K}$ and $h \gg T_{K}$ limits. For general ''$f$-electron'' fillings, except half filling, the $M(h/T_{K})$ curves cross continuously from weak to strong coupling limit, but overestimate the curvature in the crossover region for moderate $N$. The magnetic Wilson crossover numbers are calculated for amusement. Our results explicitly verify that the $1/N$ parameter is non-singular under the adiabatic continuation.

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