Critical local moment fluctuations in the Bose-Fermi Kondo model

Details Critical local moment fluctuations in the Bose-Fermi Kondo model Critical local moment fluctuations in the Bose-Fermi Kondo model

2002-04-04

arxiv.org/abs/cond-mat/0204121v4

Phys. Rev. B 66, 024426 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 13 figures; published version

Scientific paper

10.1103/PhysRevB.66.024426

We consider the critical properties of the Bose-Fermi Kondo model, which describes a local moment simultaneously coupled to a conduction electron band and a fluctuating magnetic field, i.e., a dissipative bath of vector bosons. We carry out an $\epsilon-$expansion to higher than linear orders. (Here $\epsilon$ is defined in terms of the power-law exponent of the bosonic-bath spectral function.) An unstable fixed point is identified not only in the spin-isotropic case but also in the presence of anisotropy. It marks the point where the weight of the Kondo resonance has just gone to zero, and the local moment fluctuations are critical. The exponent for the local spin susceptibility at this critical point is found to be equal to $\epsilon$ in all cases. Our results imply that a quantum phase transition of the ``locally critical'' type is a robust microscopic solution to Kondo lattices.

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