Competition between Kondo effect and RKKY physics in graphene magnetism
Abstract
The cooperative behavior of quantum impurities on two-dimensional (2D) materials, such as graphene and bilayer graphene, is characterized by a nontrivial competition between screening (Kondo effect) and Ruderman-Kittel-Kasuya-Yosida (RKKY) magnetism. In addition, due to the small density of states at the Fermi level, impurities may not couple to the conduction electrons at all, behaving as free moments. Employing a recently developed exact numerical method to study multi-impurity lattice systems, we obtain nonperturbative results that dramatically depart from expectations based on the conventional RKKY theory. At half filling and for weak coupling, impurities remain in the local moment regime when they are on opposite sublattices, up to a critical value of the interactions when they start coupling antiferromagnetically with correlations that decay very slowly with interimpurity distance. At finite doping, away from half filling, ferromagnetism is completely absent and the physics is dominated by a competition between antiferromagnetism and Kondo effect. In bilayer graphene, impurities on opposite layers behave as free moments, unless the interaction is of the order of the hopping or larger.
- Authors:
-
- Northeastern Univ., Boston, MA (United States). Dept. of Physics
- Univ. of Maryland, College Park, MD (United States). Dept. of Physics. Condensed Matter Theory Center. Joint Quantum Inst.
- Publication Date:
- Research Org.:
- Northeastern Univ., Boston, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1535874
- Alternate Identifier(s):
- OSTI ID: 1345847
- Grant/Contract Number:
- SC0014407
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 10; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; graphene; RKKY interaction; magnetism; Kondo effect
Citation Formats
Allerdt, A., Feiguin, A. E., and Das Sarma, S. Competition between Kondo effect and RKKY physics in graphene magnetism. United States: N. p., 2017.
Web. doi:10.1103/physrevb.95.104402.
Allerdt, A., Feiguin, A. E., & Das Sarma, S. Competition between Kondo effect and RKKY physics in graphene magnetism. United States. https://doi.org/10.1103/physrevb.95.104402
Allerdt, A., Feiguin, A. E., and Das Sarma, S. Mon .
"Competition between Kondo effect and RKKY physics in graphene magnetism". United States. https://doi.org/10.1103/physrevb.95.104402. https://www.osti.gov/servlets/purl/1535874.
@article{osti_1535874,
title = {Competition between Kondo effect and RKKY physics in graphene magnetism},
author = {Allerdt, A. and Feiguin, A. E. and Das Sarma, S.},
abstractNote = {The cooperative behavior of quantum impurities on two-dimensional (2D) materials, such as graphene and bilayer graphene, is characterized by a nontrivial competition between screening (Kondo effect) and Ruderman-Kittel-Kasuya-Yosida (RKKY) magnetism. In addition, due to the small density of states at the Fermi level, impurities may not couple to the conduction electrons at all, behaving as free moments. Employing a recently developed exact numerical method to study multi-impurity lattice systems, we obtain nonperturbative results that dramatically depart from expectations based on the conventional RKKY theory. At half filling and for weak coupling, impurities remain in the local moment regime when they are on opposite sublattices, up to a critical value of the interactions when they start coupling antiferromagnetically with correlations that decay very slowly with interimpurity distance. At finite doping, away from half filling, ferromagnetism is completely absent and the physics is dominated by a competition between antiferromagnetism and Kondo effect. In bilayer graphene, impurities on opposite layers behave as free moments, unless the interaction is of the order of the hopping or larger.},
doi = {10.1103/physrevb.95.104402},
journal = {Physical Review. B},
number = 10,
volume = 95,
place = {United States},
year = {Mon Mar 06 00:00:00 EST 2017},
month = {Mon Mar 06 00:00:00 EST 2017}
}
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