Crossover in the two-impurity Kondo model induced by direct charge tunneling

Details Crossover in the two-impurity Kondo model induced by direct charge tunneling Crossover in the two-impurity Kondo model induced by direct charge tunneling

2010-09-04

arxiv.org/abs/1009.0860v2

Phys.Rev.B82:205327,2010

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 6 figures; resubmitted Oct. 31, 2011 to include corrections discovered after original submission

Scientific paper

10.1103/PhysRevB.82.205327

Quantum critical behavior in the two-impurity Kondo model requires the distinct separation of two scales, T_K >> T*, where T_K is the Kondo temperature and T* is the scale at which the system renormalizes away from the quantum critical point to a stable Fermi liquid fixed point. We provide a derivation of T* based on the renormalization group to lowest order. This result is confirmed by a numerical renormalization group (NRG) analysis which supplements the analytic derivation with additional quantitative precision. The form of the low-energy Fermi liquid fixed point is derived and subsequently confirmed by the NRG. We discuss implications for series double quantum dot systems.

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