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Kondo Impurities Coupled to a Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
Oleg M Yevtushenko1, Vladimir I Yudson2,3
1Ludwig Maximilians University, Arnold Sommerfeld Center and Center for Nano-Science, Munich DE-80333, Germany.
Physical Review Letters
|April 26, 2018
Summary
In helical Luttinger liquids, the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction breaks down at strong electron interactions. The Kondo effect dominates over RKKY, a phenomenon unique to helical systems.
Area of Science:
- Condensed matter physics
- Quantum magnetism
Background:
- The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction describes magnetic coupling between local moments via conduction electrons.
- Helical Luttinger liquids, found in systems like topological insulator edges, possess unique electronic properties.
Purpose of the Study:
- To investigate the breakdown of the RKKY interaction in helical Luttinger liquids under strong electron interactions.
- To explore the interplay between Kondo effect and RKKY interaction in these novel electronic systems.
Main Methods:
- Theoretical analysis of interacting electrons in a helical Luttinger liquid model.
- Comparison of RKKY interaction strength with Kondo effect in different interaction regimes.
Main Results:
- The paradigmatic RKKY description fails in helical Luttinger liquids beyond a critical electron interaction strength.
- The Kondo effect becomes dominant over the RKKY interaction at all macroscopic interimpurity distances in this regime.
- This Kondo dominance is a direct consequence of the system's helicity.
Conclusions:
- Strong electron interactions in helical Luttinger liquids fundamentally alter magnetic coupling mechanisms.
- The Kondo effect can overwhelm RKKY interactions, offering new possibilities for controlling magnetism in topological materials.
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