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Title: Long-range exchange interaction between magnetic impurities in graphene

Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
Grant/Contract Number:
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 7; Related Information: CHORUS Timestamp: 2017-02-08 22:08:59; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Agarwal, M., and Mishchenko, E. G. Long-range exchange interaction between magnetic impurities in graphene. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.075411.
Agarwal, M., & Mishchenko, E. G. Long-range exchange interaction between magnetic impurities in graphene. United States. doi:10.1103/PhysRevB.95.075411.
Agarwal, M., and Mishchenko, E. G. Wed . "Long-range exchange interaction between magnetic impurities in graphene". United States. doi:10.1103/PhysRevB.95.075411.
title = {Long-range exchange interaction between magnetic impurities in graphene},
author = {Agarwal, M. and Mishchenko, E. G.},
abstractNote = {},
doi = {10.1103/PhysRevB.95.075411},
journal = {Physical Review B},
number = 7,
volume = 95,
place = {United States},
year = {Wed Feb 08 00:00:00 EST 2017},
month = {Wed Feb 08 00:00:00 EST 2017}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevB.95.075411

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  • Localized magnetic impurity centres in graphene can interact through the π-electrons, leading to an effective Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction. A RKKY-type study is presented for graphene ribbons with zigzag edges. Specifically investigations of how the edges modify the interaction between two localized magnetic moments are made by using a tight-binding Hamiltonian to describe the hopping of the π-electrons between adjacent sites and a contact term for interactions with the localized moments. In terms of a Green's function formalism for the excitation spectrum, which comprises modified bulk modes and two different types of localized edge modes, explicit analytical expressions are obtained formore » the RKKY interaction for any two magnetic sites on the graphene ribbon. The results enable us to determine the RKKY contributions that arise individually from the bulk-like modes and from the two types of edge modes in the zigzag geometry. The importance of these contributions varies depending on the proximity of the magnetic impurities to each other and to an edge.« less
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  • A new model for magnetic coupling between long Josephson junctions is proposed. The coupling mechanism is a result of the magnetic fields outside the junctions and is consequently effective over long distances between junctions. We give specific expressions for the form and magnitude of the interaction, and we study a few dynamical examples of experimental relevance. It is found that this new coupling manifests itself much like Volkov's coupling through thin superconductors.
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