RKKY coupling in graphene

Black‐Schaffer, Annica M.

doi:10.1103/physrevb.81.205416

Cited by 199 publications

(270 citation statements)

References 58 publications

(104 reference statements)

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“…Furthermore figure 4 shows that at large impurity distances J A 1 B 1 (R ij ) falls off as 1/R 4 approximately. This behavior is unlike the long-distances 1/R 3 decay of the RKKY interaction in SLG [18,20,21,19,24] and also unlike the long-distances 1/R 2 decay of the RKKY interaction in 2DEG [17]. Similar result for power law decay of…”

Section: Magnetic Impurities On Different Sublattices For Intralayer supporting

confidence: 69%

“…Therefore the intralayer RKKY interactions between magnetic impurities located on same sublattice in BLG are always ferromagnetic. This is similar to the ferromagnetic coupling between magnetic moments located on same sublattice in SLG [18,20,21,19]. Also the intralayer RKKY interactions…”

Section: Magnetic Impurities On Same Sublattice For Intralayer Casesupporting

confidence: 51%

“…which are similar to that of SLG [18,20,21,19]. But the R dependent features of the intralayer RKKY interactions of BLG and that of SLG are different, besides the difference between the R dependence of J A 1 A 1 (R ij ) and J B 1 B 1 (R ij ).…”

Section: Magnetic Impurities On Same Sublattice For Intralayer Casementioning

confidence: 48%

“…at small and large distances falls off faster than 1/R 3 , the power law decay of RKKY interaction of SLG [18,20,21,19,24], specially at large…”

Section: Magnetic Impurities On Same Sublattice For Intralayer Casementioning

confidence: 99%

“…Recently, several groups [18,19,20,21,22,23] have considered the RKKY interaction in SLG, by use of different methods such as directly computing the Green's function for full tight-binding band structure [20](or for linearly disper-sive band structure [20,21]) and exact diagonalization on a finite-size lattice [19,22], and also in different cases such as presence of the electron-electron interaction [22] or presence of the nonmagnetic disorders [23]. These works have reported two common results: one is the ferromagnetic (antiferromagnetic) order of magnetic impurities located on same (apposite) sublattices which originate from particle-hole symmetry in SLG, or each bipartite lattice, which is satisfied for nearest-neighbor interactions case.…”

Section: Introductionmentioning

confidence: 99%

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RKKY interaction in bilayer graphene

Mohammadi¹,

Moradian²

2015

Journal of Magnetism and Magnetic Materials

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We study the RKKY interaction between two magnetic impurities located on same layer (intralayer case) or on different layers (interlayer case) in undoped bilayer graphene in the four-bands model, by directly calculating the Green functions in the eigenvalues and eigenvectors representation. Our results show that both intra-and interlayer RKKY interactions between two magnetic impurities located on same (opposite) sublattice are always ferromagnetic (antiferromagnetic). Furthermore we find unusual long-distance decay of the RKKY interaction in BLG. The intralyer RKKY interactions between two magnetic impurities located on same sublattice, J AnAn (R) and J BnBn (R), decay closely as 1/R 6 and 1/R 2 at large impurity distances respectively, but when they are located on opposite sublattices the RKKY interactions exhibit 1/R 4 decays approximately. In the interlayer case, the RKKY interactions between two magnetic impurities located on same * Corresponding author. Tel./fax: +98 831 427 4569, Tel: +98 831 427 4569. E-mail address:yawar.mohammadi@gmail.com 1 sublattice show a decay close to 1/R 4 at large impurity distances, but if two magnetic impurities be on opposite sublattices the RKKY interactions, J A 1 B 2 (R) and J B 1 A 2 (R), decay closely as 1/R 6 and 1/R 2 respectively. Both intra-and interlayer RKKY interactions have anisotropic oscillatory factors which for intralayer case is equal to that for single layer graphene. Our results at weak and strong interlayer coupling limits reduce to the RKKY interaction of SLG and that of BLG in the two-bands approximation respectively.

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Section: Magnetic Impurities On Different Sublattices For Intralayer supporting

confidence: 69%

Section: Magnetic Impurities On Same Sublattice For Intralayer Casesupporting

confidence: 51%

Section: Magnetic Impurities On Same Sublattice For Intralayer Casementioning

confidence: 48%

“…at small and large distances falls off faster than 1/R 3 , the power law decay of RKKY interaction of SLG [18,20,21,19,24], specially at large…”

Section: Magnetic Impurities On Same Sublattice For Intralayer Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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RKKY interaction in bilayer graphene

Mohammadi¹,

Moradian²

2015

Journal of Magnetism and Magnetic Materials

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Carbogenic Nanodots: Photoluminescence and Room‐Temperature Ferromagnetism

Srivastava

Gajbhiye

2011

ChemPhysChem

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Herein, blue fluorescent carbogenic nanodots (CNDs) with room-temperature ferromagnetism were synthesized by thermal decomposition of organic precursors at different temperatures. Photoluminescence (PL) studies show excitation-wavelength-dependent emission properties and PL excitation (PLE) studies confirm the triplet ground state of carbene at the zigzag edge as the fluorescent center. Room-temperature magnetic studies reveal the ferromagnetic nature of CNDs and temperature-dependent studies show the presence of an antiferromagnetic phase along with a ferromagnetic phase below 50 K. EPR studies reveal the presence of conduction electrons and localized spins with different g factors. Localized spins at zigzag edges are the origin of the unconventional magnetic behavior, whereas exchange coupling between conduction and localized spins are responsible for long-range magnetic ordering.

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Prospects of spintronics based on 2D materials

Feng

Shen

Yang

et al. 2017

WIREs Comput Mol Sci

190

135

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Spintronics holds the promise for future information technologies. Devices based on manipulation of spin are most likely to replace the current silicon complementary metal‐oxide semiconductor devices that are based on manipulation of charge. The challenge is to identify or design materials that can be used to generate, detect, and manipulate spin. Since the successful isolation of graphene and other two‐dimensional (2D) materials, there has been a strong focus on spintronics based on 2D materials due to their attractive properties, and much progress has been made, both theoretically and experimentally. Here, we summarize recent developments in spintronics based on 2D materials. We focus mainly on materials of truly 2D nature, that is, atomic crystal layers such as graphene, phosphorene, monolayer transition metal dichalcogenides, and others, but also highlight current research foci in heterostructures or interfaces. In particular, we emphasize roles played by computation based on first‐principles methods which has contributed significantly in the designs of spintronic materials and devices. We also highlight challenges and suggest possible directions for further studies. WIREs Comput Mol Sci 2017, 7:e1313. doi: 10.1002/wcms.1313 This article is categorized under: Structure and Mechanism > Computational Materials Science Electronic Structure Theory > Ab Initio Electronic Structure Methods Electronic Structure Theory > Density Functional Theory

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RKKY coupling in graphene

Cited by 199 publications

References 58 publications

RKKY interaction in bilayer graphene

RKKY interaction in bilayer graphene

Carbogenic Nanodots: Photoluminescence and Room‐Temperature Ferromagnetism

Prospects of spintronics based on 2D materials

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