Quantum critical properties of the Bose-Fermi Kondo Model in a large-N limit

Details Quantum critical properties of the Bose-Fermi Kondo Model in a large-N limit Quantum critical properties of the Bose-Fermi Kondo Model in a large-N limit

2004-06-14

arxiv.org/abs/cond-mat/0406293v3

Phys.Rev.Lett. 93, 267201(2004)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages; v2: included clarifying discussions on why the omega/T scaling (for epsilon >=1/2) violates the naive mapping to clas

Scientific paper

10.1103/PhysRevLett.93.267201

Studies of non-Fermi liquid properties in heavy fermions have led to the current interest in the Bose-Fermi Kondo model. Here we use a dynamical large-N approach to analyze an SU(N)xSU($\kappa N$) generalization of the model. We establish the existence in this limit of an unstable fixed point when the bosonic bath has a sub-ohmic spectrum ($|\omega|^{1-\epsilon} \sgn \omega$, with $0<\epsilon<1$). At the quantum critical point, the Kondo scale vanishes and the local spin susceptibility (which is finite on the Kondo side for \kappa <1) diverges. We also find an \omega/T scaling for an extended range (15 decades) of \omega/T. This scaling violates (for $\epsilon \ge 1/2$) the expectation of a naive mapping to certain classical models in an extra dimension; it reflects the inherent quantum nature of the critical point.

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