RKKY interaction in layered superconductors with anisotropic pairing

Aristov, D. N.; Maleyev, S. V.; Yashenkin, A. G.

doi:10.1007/s002570050313

Cited by 31 publications

(23 citation statements)

References 8 publications

(12 reference statements)

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“…, so that the ground state wavevector is shifted from zero to q ∝ √ ∆. This magnetic instability is akin to the Anderson-Suhl transition in 2D and 3D spin lattices [39,40,42] and results from two competing ordering mechanisms having different strengths and effective ranges: ferromagnetism from the RKKY exchange and antiferromagnetism due to superconductivity. The development of spiral order due to the presence of superconductivity is illustrated in Fig.…”

Section: A Exchange Interactions Along the (10) Directionmentioning

confidence: 99%

Spiral magnetic order and topological superconductivity in a chain of magnetic adatoms on a two-dimensional superconductor

Christensen¹,

Schecter²,

Flensberg³

et al. 2016

Phys. Rev. B

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We study the magnetic and electronic phases of a 1D magnetic adatom chain on a 2D superconductor. In particular, we confirm the existence of a 'self-organized' 1D topologically non-trivial superconducting phase within the set of subgap Yu-Shiba-Rusinov (YSR) states formed along the magnetic chain. This phase is stabilized by incommensurate spiral correlations within the magnetic chain that arise from the competition between short-range ferromagnetic and long-range antiferromagnetic electron-induced exchange interactions, similar to a recent study for a 3D superconductor [M. Schecter et al. Phys. Rev. B 93, 140503(R) 2016]. The exchange interaction along diagonal directions are also considered and found to display behavior similar to a 1D substrate when close to half filling. We show that the topological phase diagram is robust against local superconducting order parameter suppression and weak substrate spin-orbit coupling. Lastly, we study the effect of a direct ferromagnetic exchange coupling between the adatoms, and find the region of spiral order in the phase diagram to be significantly enlarged in a wide range of the direct exchange coupling.

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Section: A Exchange Interactions Along the (10) Directionmentioning

confidence: 99%

Spiral magnetic order and topological superconductivity in a chain of magnetic adatoms on a two-dimensional superconductor

Christensen¹,

Schecter²,

Flensberg³

et al. 2016

Phys. Rev. B

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“…Since the mid-twentieth century it has been understood that localized spins in metals can interact by means of the Ruderman-Kittel-Kasuya-Yosida (RKKY) mechanism [1][2][3]. This indirect exchange coupling is mediated by the conduction electrons and has been investigated in materials of different nature such as disordered metals [4], superconductors [5][6][7], topological insulators [8][9][10][11][12][13][14][15], graphene [16][17][18][19][20], carbon nanotubes [21,22], and semiconducting wires [23].…”

Section: Introductionmentioning

confidence: 99%

RKKY interaction on the surface of three-dimensional Dirac semimetals

2019

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We study the RKKY interaction between two magnetic impurities located on the surface of a three-dimensional Dirac semimetal with two Dirac nodes in the band structure. By taking into account both bulk and surface contributions to the exchange interaction between the localized spins, we demonstrate that the surface contribution in general dominates the bulk one at distances larger than the inverse node separation due to a weaker power-law decay. We find a strong anisotropy of the surface term with respect to the spins being aligned along the node separation axis or perpendicular to it. In the many impurity dilute regime, this implies formation of quasi-one-dimensional magnetic stripes orthogonal to the node axis. We also discuss the effects of a surface spin-mixing term coupling electrons from spin-degenerate Fermi arcs. arXiv:1811.05750v3 [cond-mat.mes-hall]

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“…In the case of a superconductor, the RKKY interaction is affected by the gap at the Fermi surface 28 . This effect was revisited in some recent works 27,29 . The main result is that the form of the RKKY interaction in superconductors is mainly preserved but the interaction contains a decaying exponential factor which vanishes when ∆ → 0.…”

Section: Introductionmentioning

confidence: 99%

Magnetic impurities in a superconductor: Effect of domain walls and interference

2007

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We consider the effect of magnetic impurities, modeled by classical spins, in a conventional superconductor. We study their effect on the quasiparticles, specifically on the spin density and local density of states (LDOS). As previously emphasized, the impurities induce multiple scatterings of the quasiparticle wave functions leading to complex interference phenomena. Also, the impurities induce quantum phase transitions in the many-body system. Previous authors studied the effect of either a small number of impurities (from one to three) or a finite concentration of impurities, typically in a disordered distribution. In this work we assume a regular set of spins distributed inside the superconductor in such a way that the spins are oriented, forming different types of domain walls, assumed stable. This situation may be particularly interesting in the context of spin transfer due to polarized currents traversing the material.

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RKKY interaction in layered superconductors with anisotropic pairing

Cited by 31 publications

References 8 publications

Spiral magnetic order and topological superconductivity in a chain of magnetic adatoms on a two-dimensional superconductor

Spiral magnetic order and topological superconductivity in a chain of magnetic adatoms on a two-dimensional superconductor

RKKY interaction on the surface of three-dimensional Dirac semimetals

Magnetic impurities in a superconductor: Effect of domain walls and interference

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