Critical points and non-Fermi liquids in the underscreened pseudogap Kondo model

Details Critical points and non-Fermi liquids in the underscreened pseudogap Kondo model Critical points and non-Fermi liquids in the underscreened pseudogap Kondo model

2005-06-02

arxiv.org/abs/cond-mat/0506061v2

Phys. Rev. B 72, 115117 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 8 figures. Minor modifications in updated version

Scientific paper

10.1103/PhysRevB.72.115117

Numerical Renormalization Group simulations have shown that the underscreened spin-1 Kondo impurity model with power-law bath density of states (DOS) $\rho(\w) \propto |\w|^r$ possesses various intermediate-coupling fixed points, including a stable non-Fermi liquid phase. In this paper we discuss the corresponding universal low-energy theories, obtain thermodynamic quantities and critical exponents by renormalization group analysis together with suitable $\epsilon$-expansions, and compare our results with numerical data. Whereas the particle-hole symmetric critical point can be controlled at weak coupling using a simple generalization of the spin-1/2 model, we show that the stable non-Fermi liquid fixed point must be accessed near strong coupling via a mapping onto an effective ferromagnetic $S_\mr{eff}=1/2$ model with singular bath DOS with exponent $r_\mr{eff}=-r<0$. In addition, we consider the particle-hole asymmetric critical fixed point, for which we propose a universal field theory involving the crossing between doublet and triplet levels.

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