Quantum phase transitions in the Bose-Fermi Kondo model

Details Quantum phase transitions in the Bose-Fermi Kondo model Quantum phase transitions in the Bose-Fermi Kondo model

2002-04-04

arxiv.org/abs/cond-mat/0204118v2

Phys. Rev. B 66, 024427 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 9 figures, some references added/corrected

Scientific paper

10.1103/PhysRevB.66.024427

We study quantum phase transitions in the Bose-Fermi Kondo problem, where a local spin is coupled to independent bosonic and fermionic degrees of freedom. Applying a second order expansion in the anomalous dimension of the Bose field we analyze the various non-trivial fixed points of this model. We show that anisotropy in the couplings is relevant at the SU(2) invariant non Fermi liquid fixed points studied earlier and thus the quantum phase transition is usually governed by XY or Ising-type fixed points. We furthermore derive an exact result that relates the anomalous exponent of the Bose field to that of the susceptibility at any finite coupling fixed point. Implications on the dynamical mean field approach to locally quantum critical phase transitions are also discussed.

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