Quantum criticality in Kondo quantum dot coupled to helical edge states of interacting 2D topological insulators

Details Quantum criticality in Kondo quantum dot coupled to helical edge states of interacting 2D topological insulators Quantum criticality in Kondo quantum dot coupled to helical edge states of interacting 2D topological insulators

2012-01-26

arxiv.org/abs/1201.5610v2

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 9 figures, more details added, typos corrected, revised Sec. IV, V, Appendix A and B

Scientific paper

We investigate theoretically the quantum phase transition (QPT) between the one-channel Kondo (1CK) and two-channel Kondo (2CK) fixed points in a quantum dot coupled to helical edge states of interacting 2D topological insulators (2DTI) with Luttinger parameter $01 that the 2CK fixed point can be unstable towards the 1CK fixed point and the system may undergo a quantum phase transition between 1CK and 2CK fixed points. The QPT in our model comes as a result of the combined Kondo and the helical Luttinger physics in 2DTI, and it serves as the first example of the 1CK-2CK QPT that is accessible by the controlled RG approach. We extract quantum critical and crossover behaviors from various thermodynamical quantities near the transition. Our results are robust against particle-hole asymmetry for 1/2

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