Long-range triplet proximity effect in multiply connected ferromagnet-superconductor hybrids

Самохвалов, А. В.; Robinson, Jason W. A.; Buzdin, Alexandre I.

doi:10.1103/physrevb.100.014509

Cited by 11 publications

(5 citation statements)

References 76 publications

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“…[29] This allows one to expect examination of curvilinear 3D superconducting structures in other domains of science and technology such as magnetoelectronics, [40,741] spintronics, [742,743] magnonics [131,[744][745][746] and metamaterials with 3D superconductors and chirality. [747] Furthermore, the combination of superconductors with ferromagnets in curvilinear geometries should open novel prospects for superconducting spintronics, [748] proximity-induced spin-triplet superconductivity, [651,749] magnetic cloaking, [667,750] hybrid superconductor-ferromagnetic metamaterials [751][752][753] and the improvement of current-carrying ability of superconductors. [754,755] In addition, ferromagnetic decoration of curvilinear superconductors is expected to modify the signatures of vortex guiding [756,757] and ratchet effects, [758] flux-flow instability, [722,756,759] microwavestimulated superconductivity in the vortex state, [716,760] thereby advancing the development of 3D fluxonic circuits.…”

Section: Discussionmentioning

confidence: 99%

New Dimension in Magnetism and Superconductivity: 3D and Curvilinear Nanoarchitectures

et al. 2021

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condensed matter physics, including cell membranes, [1] nematic crystals, [2,3] superfluids, [4] semiconductors, [5][6][7][8] ferromagnets, [9] and superconductors. [10,11] Currently, much attention is paid to strongly correlated electronic systems, for example, ferromagnets and superconductors, as they provide a unique tool to manipulate the topology of coexisting vector and scalar fields, associated with geometries of conventional systems.Until recently, in the case of magnetism, the influence of the geometry on the spin vector fields was addressed primarily by the design of the sample boundaries. This approach naturally brings the shape anisotropy to the system and leads to the formation of specific spin textures, for example, magnetic vortices [12] and antivortices [13] as well as provides control over the dynamics of the topologically nontrivial magnetic solitons. [14][15][16][17][18] This discussion also tackles the state of the art in modern experimental antiferromagnetism, where the design of the sample topography and boundaries allows to control the domain wall states. [19][20][21][22] With the development of novel fabrication techniques allowing to realize complex 3D architectures, not only the boundary effects but also the extrinsic geometrical properties (e.g., local curvatures) can be addressed rigorously for the case of ferromagnets [23][24][25][26][27] as well as superconductors. [28][29][30] The explored effects are directly related to the interplay between the Traditionally, the primary field, where curvature has been at the heart of research, is the theory of general relativity. In recent studies, however, the impact of curvilinear geometry enters various disciplines, ranging from solid-state physics over soft-matter physics, chemistry, and biology to mathematics, giving rise to a plethora of emerging domains such as curvilinear nematics, curvilinear studies of cell biology, curvilinear semiconductors, superfluidity, optics, 2D van der Waals materials, plasmonics, magnetism, and superconductivity. Here, the state of the art is summarized and prospects for future research in curvilinear solid-state systems exhibiting such fundamental cooperative phenomena as ferromagnetism, antiferromagnetism, and superconductivity are outlined. Highlighting the recent developments and current challenges in theory, fabrication, and characterization of curvilinear micro-and nanostructures, special attention is paid to perspective research directions entailing new physics and to their strong application potential. Overall, the perspective is aimed at crossing the boundaries between the magnetism and superconductivity communities and drawing attention to the conceptual aspects of how extension of structures into the third dimension and curvilinear geometry can modify existing and aid launching novel functionalities. In addition, the perspective should stimulate the development and dissemination of research and development oriented techniques to facilitate rapid transitions from laboratory demonstrations to industry-...

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Section: Discussionmentioning

confidence: 99%

New Dimension in Magnetism and Superconductivity: 3D and Curvilinear Nanoarchitectures

et al. 2021

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“…We assume that the thickness t of the F layer is much longer than the coherence length in the ferromagnetic layer κ F t 1. In the long-junction regime, the condensate function is mediated primarily by the long-range triplet superconducting correlations [35,64,65], whereas the singlet and short-range triplet correlations decay over the length κ −1 F . At the outer interface of the F layer, the condensate function is given by the only long-range component f 1 .…”

Section: Appendix: Correction To the Tunneling Differential Conductan...mentioning

confidence: 99%

Quasiparticle density of states and triplet correlations in superconductor/ferromagnetic-insulator structures across a sharp domain wall

2022

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A ferromagnetic insulator (FI) in contact with a superconductor (S) is known to induce a spin splitting of the BCS density of states at the FI/S interface. This spin splitting causes the Cooper pairs to reduce their singlet-state correlations and acquire odd-in-frequency triplet correlations. We consider a diffusive FI/S bilayer with a sharp magnetic domain wall in the FI, and we study the local quasiparticle density of states and triplet superconducting correlations. In the case of collinear alignment of the domains, we obtain analytical results by solving the Usadel equation. For a small enough exchange field or weak superconductivity, we also find an analytical expressions for arbitrary magnetic textures, which reveals how the triplet component vector depends on the local magnetization of the FI. For an arbitrary angle between the magnetizations and the strength of the exchange field, we numerically solve the problem of a sharp domain wall. We finally propose two different setups based on FI/S/F stacks, where F is a ferromagnetic layer, to filter out singlet pairs and detect the presence of triplet correlations via tunneling differential conductance measurements.

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“…We assume that the thickness t of the F layer is much longer than the coherence length in the ferromagnetic layer κ F t 1. In the long-junction regime the condensate function is mediated primarily by the long-range triplet superconducting correlations [35,56,57], whereas the singlet and short-range triplet correlations decay over the length κ −1 F . At the outer…”

Section: A Correction To the Tunneling Differential Conductance In Th...mentioning

confidence: 99%

Quasiparticle density of states and triplet correlations in superconductor/ferromagnetic-insulator structures across a sharp domain wall

Hijano,

Golovach,

Bergeret

2022

Preprint

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A ferromagnetic insulator (FI) in contact with a superconductor (S) is known to induce a spin splitting of the BCS density of states at the FI/S interface. This spin splitting causes the Cooper pairs to reduce their singlet-state correlations and acquire odd-in-frequency triplet correlations. We consider a diffusive FI/S bilayer with a sharp magnetic domain wall in the FI and study the local quasiparticle density of states and triplet superconducting correlations. In the case of collinear alignment of the domains, we obtain analytical results by solving the Usadel equation. For a small enough exchange field, we also find an analytical expression for arbitrary magnetic textures, which reveals how the triplet component vector depends on the local magnetization of the FI. For an arbitrary angle between the magnetizations and the strength of the exchange field, we numerically solve the problem of a sharp domain wall. We finally propose two different setups based on FI/S/F stacks, where F is a ferromagnetic layer, to filter out singlet pairs and detect the presence of triplet correlations via tunneling differential conductance measurements.

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Long-range triplet proximity effect in multiply connected ferromagnet-superconductor hybrids

Cited by 11 publications

References 76 publications

New Dimension in Magnetism and Superconductivity: 3D and Curvilinear Nanoarchitectures

New Dimension in Magnetism and Superconductivity: 3D and Curvilinear Nanoarchitectures

Quasiparticle density of states and triplet correlations in superconductor/ferromagnetic-insulator structures across a sharp domain wall

Quasiparticle density of states and triplet correlations in superconductor/ferromagnetic-insulator structures across a sharp domain wall

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