Quantum Criticality and the Non-Linear I-V Curve of Two-Channel Kondo-Luttinger System
C.-Y. Lin1,2*, Y.-Y. Chang1, N. Andrei3, C.-H. Chung1
1Dept. of Electrophysics, National Chiao-Tung University, Hsinchu, Taiwan
2Institute of Physics, Academia Sinica, Taipei, Taiwan
3Dept. of Physics, Rutgers University, Piscataway, New Jersey, USA
* presenting author:Chao-Yun Lin, email:jolin78718@hotmail.com
We theoretically study the non-linear I-V curve of a Kondo impurity in a Luttinger liquid wire. With decreasing Luttinger parameter K (or increasing electron interactions), it has been known that the system undergoes a quantum phase transition from the 1-channel (1CK) to 2-channel Kondo (2CK) ground states at K=1/2. However, little is known on the quantum critical properties near the transition. Via bosonization-refermionization and renormalization group approaches, we map the system near 1CK-2CK quantum critical point onto an e ective model in terms of Mjorana fermions. The non-linear conductance is obtained. Our results are relevant for the recent experiment in a dissipative Kondo dot.

Keywords: Kondo-Luttinger, 2-channel Kondo (2CK), quantum phase transition, renormalization group, bosonization-refermionization