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The variant of the single-impurity Kondo problem in which the conduction-band density of states has a power-law pseudogap at the Fermi energy is known to exhibit a zero-temperature phase transition at a finite exchange coupling. The critical properties of this transition are studied both for N=2 and for N>>1, where N is the spin degeneracy. The critical exponents are consistent with a simple scaling form for the free energy. For any finite N, the temperature exponent of the local spin susceptibility at the critical Kondo coupling varies continuously with the power of the pseudogap. This raises the possibility that a single-particle pseudogap is responsible for the anomalous behavior of certain heavy-fermion metals close to a magnetic quantum phase transition.
Experiments in heavy-fermion metals and related theoretical work suggest that critical local-moment fluctuations can play an important role near a zero-temperature phase transition. We study such fluctuations at the quantum critical point of a Kondo
Recent studies of the global phase diagram of quantum-critical heavy-fermion metals prompt consideration of the interplay between the Kondo interactions and quantum fluctuations of the local moments alone. Toward this goal, we study a Bose-Fermi Kond
We theoretically investigate the non-equilibrium quantum phase transition in a generic setup: the pseudogap Kondo model where a quantum dot couples to two-left (L) and right (R)-voltage-biased fermionic leads with power-law density of states (DOS) wi
In solids containing elements with f orbitals, the interaction between f-electron spins and those of itinerant electrons leads to the development of low-energy fermionic excitations with a heavy effective mass. These excitations are fundamental to th
The heavy-fermion metal YbRh$_{2}$Si$_{2}$ is a weak antiferromagnet below $T_{N} = 0.07$ K. Application of a low magnetic field $B_{c} = 0.06$ T ($perp c$) is sufficient to continuously suppress the antiferromagnetic (AF) order. Below $T approx 10$