Multichannel pseudogap Kondo model: Large-N solution and quantum-critical dynamics

Details Multichannel pseudogap Kondo model: Large-N solution and quantum-critical dynamics Multichannel pseudogap Kondo model: Large-N solution and quantum-critical dynamics

2001-02-06

arxiv.org/abs/cond-mat/0102089v2

Phys. Rev. Lett. 87, 097202 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figs; extended discussion of large-N spin representations, added references; accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.87.097202

We discuss a multichannel SU(N) Kondo model which displays non-trivial zero-temperature phase transitions due to a conduction electron density of states vanishing with a power law at the Fermi level. In a particular large-N limit, the system is described by coupled integral equations corresponding to a dynamic saddle point. We exactly determine the universal low-energy behavior of spectral densities at the scale-invariant fixed points, obtain anomalous exponents, and compute scaling functions describing the crossover near the quantum-critical points. We argue that our findings are relevant to recent experiments on impurity-doped d-wave superconductors.

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