RKKY coupling between impurity spins in graphene nanoflakes

Szałowski, K.

doi:10.1103/physrevb.84.205409

Cited by 38 publications

(40 citation statements)

References 56 publications

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“…Such an interaction is usually calculated within the Ruderman-Kittel-Kasuya-Yosida (RKKY) approximation [28][29][30] and indeed the interaction itself often takes this moniker. The RKKY interaction in graphene has been intensively studied 25,[31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48] with a general consensus that the interaction strength decays asymptotically as D −3 in undoped graphene, 49 where D is the separation between the magnetic moments. This fast decay rate, arising from the graphene electronic structure at the Fermi energy, results in the interaction being very short ranged.…”

Section: Introductionmentioning

confidence: 99%

Strain-induced modulation of magnetic interactions in graphene

et al. 2012

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The ease with which the physical properties of graphene can be tuned suggests a wide range of possible applications. Recently, strain engineering of these properties has been of particular interest. Possible spintronic applications of magnetically doped graphene systems have motivated recent theoretical investigations of the so-called Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between localized moments in graphene. In this work a combination of analytic and numerical techniques are used to examine the effects of uniaxial strain on such an interaction. A range of interesting features are uncovered depending on the separation and strain directions. Amplification, suppression, and oscillatory behavior are reported as a function of the strain and mathematically transparent expressions predicting these features are derived. Since a wide range of effects, including overall moment formation and magnetotransport response, are underpinned by such interactions we predict that the ability to manipulate the coupling by applying strain may lead to interesting spintronic applications.

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Section: Introductionmentioning

confidence: 99%

Strain-induced modulation of magnetic interactions in graphene

et al. 2012

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“…This has been studied on finite two-dimensional (2D) materials, such as graphene nanoflakes [19,20] and nanoribbons [21][22][23][24][25], where impurities lie close to or on zigzag and armchair edges. On graphene, RKKY interactions with a dominant 1D character have been identified for impurities near the sample edges [25] and line defects [26].…”

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confidence: 99%

Noncollinear exchange interaction in transition metal dichalcogenide edges

2016

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We study the Ruderman-Kittel-Kasuya-Yosida effective exchange interaction between magnetic impurities embedded on the edges of transition metal dichalcogenide flakes, using a three-orbital tight-binding model. Electronic states lying midgap of the bulk structure have a strong one-dimensional (1D) character, localized on the edges of the crystallite. This results in exchange interactions with 1/r (or slower) decay with distance r, similar to other 1D systems. Most interestingly, however, the strong spin-orbit interaction in these materials results in sizable noncollinear Dzyaloshinskii-Moriya interactions between impurities, comparable in size to the usual Ising and in-plane components. Varying the relevant Fermi energy by doping or gating may allow one to modulate the effective interactions, controlling the possible helical ground state configurations of multiple impurities.

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“…Such an interaction is usually calculated within the Ruderman-Kittel-Kasuya-Yosida (RKKY) approximation, [11][12][13] and indeed the interaction itself often takes this moniker. The RKKY interaction in graphene has been intensively studied, [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] and there is a general consensus that its strength decays faster than in other two-dimensional materials. In fact, the RKKY interaction between magnetic moments a distance D apart decays as 1/D 3 or faster in undoped graphene.…”

Section: Introductionmentioning

confidence: 99%

Dynamic RKKY interaction in graphene

et al. 2012

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The growing interest in carbon-based spintronics has stimulated a number of recent theoretical studies on the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in graphene, based on which the energetically favorable alignment between magnetic moments embedded in this material can be calculated. The general consensus is that the strength of the RKKY interaction in undoped graphene decays as 1/D 3 or faster, where D is the separation between magnetic moments. Such an unusually fast decay for a two-dimensional system suggests that the RKKY interaction may be too short ranged to be experimentally observed in graphene. Here we show in a mathematically transparent form that a far more long ranged interaction arises when the magnetic moments are taken out of their equilibrium positions and set in motion. We not only show that this dynamic version of the RKKY interaction in graphene decays far more slowly but also propose how it can be observed with currently available experimental methods.

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RKKY coupling between impurity spins in graphene nanoflakes

Cited by 38 publications

References 56 publications

Strain-induced modulation of magnetic interactions in graphene

Strain-induced modulation of magnetic interactions in graphene

Noncollinear exchange interaction in transition metal dichalcogenide edges

Dynamic RKKY interaction in graphene

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