Dzyaloshinskii-Moriya interaction mediated by spin-polarized band with Rashba spin-orbit coupling

Kundu, Anirban; Zhang, S.

doi:10.1103/physrevb.92.094434

Cited by 69 publications

(40 citation statements)

References 24 publications

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“…According to the latter 38,39,40 , the DMI parameter can be roughly expressed as = 2 R , where A is the exchange stiffness and R = 2 R ℏ 2 is determined by the Rashba coefficient, R , and effective electron mass, me. The latter in Co was measured to be about 0.45 m0 41 (with m0 being the rest mass of electron), and the exchange stiffness, A, was found to be about 15.5 ×10 -12 J/m 32,42 .…”

Section: First-principles Calculationsmentioning

confidence: 99%

Significant Dzyaloshinskii–Moriya interaction at graphene–ferromagnet interfaces due to the Rashba effect

et al. 2018

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The possibility of utilizing the rich spin-dependent properties of graphene has attracted much attention in the pursuit of spintronics advances. The promise of high-speed and low-energy-consumption devices motivates the search for layered structures that stabilize chiral spin textures such as topologically protected skyrmions. Here we demonstrate that chiral spin textures are induced at graphene/ferromagnetic metal interfaces. Graphene is a weak spin-orbit coupling material and is generally not expected to induce a sufficient Dzyaloshinskii-Moriya interaction to affect magnetic chirality. We demonstrate that indeed graphene does induce a type of Dzyaloshinskii-Moriya interaction due to the Rashba effect. First-principles calculations and experiments using spin-polarized electron microscopy show that this graphene-induced Dzyaloshinskii-Moriya interaction can have a similar magnitude to that at interfaces with heavy metals. This work paves a path towards two-dimensional-material-based spin-orbitronics.

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Section: First-principles Calculationsmentioning

confidence: 99%

Significant Dzyaloshinskii–Moriya interaction at graphene–ferromagnet interfaces due to the Rashba effect

et al. 2018

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“…It is then possible to take advantage of this spin current with the only difference that now both charge and spin currents are orthogonal to each other in a typical multilayer system. Charge current is flowing along the interface while spin current is diffusing perpendicularly to the interface of the constitutive layers.In this vein, several experiments have been designed to demonstrate the possibility of reversing the magnetization in single ferromagnetic layer or to propagate domain walls (DWs) using materials with strong SHE [3][4][5][6][7][8].Unfortunately the exact origin of the process as well as its microscopic understanding were still far from being fully understood at the present stage [9][10][11][12][13]. Since the pioneering work from Miron et al, [3] several reports have shown some possible routes or scenarios to explain either magnetization reversal [4,[14][15][16][17][18][19][20][21] or DW propagation [5][6][7][8][22][23][24][25][26][27][28].…”

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confidence: 99%

Perpendicular magnetization reversal in Pt/[Co/Ni]3/Al multilayers via the spin Hall effect of Pt

Rojas-Sánchez

Laczkowski

Sampaio

et al. 2016

Applied Physics Letters

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We experimentally investigate the current-induced magnetization reversal in Pt/[Co/Ni]3/Al multilayers combining the anomalous Hall effect and magneto-optical Kerr effect techniques in crossbar geometry. The magnetization reversal occurs through nucleation and propagation of a domain of opposite polarity for a current density of the order of 0.3 TA/m 2 . In these experiments we demonstrate a full control of each stage: i)the Ørsted field controls the domain nucleation and ii) domain-wall propagation occurs by spin torque from the Pt spin Hall effect. This scenario requires an in-plane magnetic field to tune the domain wall center orientation along the current for efficient domain wall propagation. Indeed, as nucleated, domain walls are chiral and Néel like due to the interfacial Dzyaloshinskii-Moriya interaction.Controlling the magnetization reversal using the spin transfer torque (STT) is a key ingredient for the implementation of several technologies, including for example MRAM, benefiting from the scalability of the effect [1]. However, in materials stacks using conventional STT, the magnetization reversal requires a high current density of the order of 10 10 A/m 2 , which should ideally be as small as possible in order to avoid detrimental aftereffects when flowing across tunnel junctions based-MRAM [2]. An alternative route for magnetization control is by means of the so-called spin-orbit torque (SOT), which uses materials with a strong spin-orbit coupling (SOC) such as Pt, to generate spin currents along the perpendicular directions to the charge current via its spin Hall effect (SHE). It is then possible to take advantage of this spin current with the only difference that now both charge and spin currents are orthogonal to each other in a typical multilayer system. Charge current is flowing along the interface while spin current is diffusing perpendicularly to the interface of the constitutive layers.In this vein, several experiments have been designed to demonstrate the possibility of reversing the magnetization in single ferromagnetic layer or to propagate domain walls (DWs) using materials with strong SHE [3][4][5][6][7][8].Unfortunately the exact origin of the process as well as its microscopic understanding were still far from being fully understood at the present stage [9][10][11][12][13]. Since the pioneering work from Miron et al., [3] several reports have shown some possible routes or scenarios to explain either magnetization reversal [4,[14][15][16][17][18][19][20][21] or DW propagation [5][6][7][8][22][23][24][25][26][27][28]. The latest involve DW propagation taking into account the Dzyaloshinski-Moriya interaction (DMI) at non magnetic/magnetic interfaces in magnetic multidomain configurations [7-9, 15-19, 21-26]. One common point of these studies is the use of magnetic materials with perpendicular magnetic anisotropy (PMA) as well as the application of a small in-plane magnetic field along the current direction to electrically reverse the magnetization [3,4,[14][15][16][17][18][19][20][21]. I...

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“…[34] derived formulas for the asymmetric exchange between two single magnetic ions embedded in a 1D-or 2DEG with Rashba SOC. A decade later, their result was generalized by allowing for finite uniform magnetization [35].…”

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confidence: 99%

Asymmetric and Symmetric Exchange in a Generalized 2D Rashba Ferromagnet

Ado¹,

Qaiumzadeh

Duine

et al. 2018

Phys. Rev. Lett.

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Dzyaloshinskii-Moriya interaction (DMI) is investigated in a 2D ferromagnet (FM) with spin-orbit interaction of Rashba type at finite temperatures. The FM is described in the continuum limit by an effective s-d model with arbitrary dependence of spin-orbit coupling (SOC) and kinetic energy of itinerant electrons on the absolute value of momentum. In the limit of weak SOC, we derive a general expression for the DMI constant D from a microscopic analysis of the electronic grand potential. We compare D with the exchange stiffness A and show that, to the leading order in small SOC strength α_{R}, the conventional relation D=(4mα_{R}/ℏ)A, in general, does not hold beyond the Bychkov-Rashba model. Moreover, in this model, both A and D vanish at zero temperature in the metal regime (i.e., when two spin sub-bands are partly occupied). For nonparabolic bands or nonlinear Rashba coupling, these coefficients are finite and acquire a nontrivial dependence on the chemical potential that demonstrates the possibility to control the size and chirality of magnetic textures by adjusting a gate voltage.

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Dzyaloshinskii-Moriya interaction mediated by spin-polarized band with Rashba spin-orbit coupling

Cited by 69 publications

References 24 publications

Significant Dzyaloshinskii–Moriya interaction at graphene–ferromagnet interfaces due to the Rashba effect

Significant Dzyaloshinskii–Moriya interaction at graphene–ferromagnet interfaces due to the Rashba effect

Perpendicular magnetization reversal in Pt/[Co/Ni]3/Al multilayers via the spin Hall effect of Pt

Asymmetric and Symmetric Exchange in a Generalized 2D Rashba Ferromagnet

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