Topological superconducting phases and Josephson effect in curved superconductors with time reversal invariance

Francica, Gianluca; Cuoco, Mario; Gentile, Paola

doi:10.1103/physrevb.101.094504

Cited by 13 publications

(9 citation statements)

References 78 publications

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“…[31] Recent proposals have predicted the possibility to realize topological superconductivity by hybridizing ordinary superconductors with helical materials, with the help of magnetic perturbations. The curved geometric profile also allows for tuning the spin correlations of the superconducting state via the induced inhomogeneity of the spin-orbit coupling that affects the Josephson critical current [707] and, in curved nanostructures with Rashba spinorbit coupling, leads to nontrivial textures of spin-triplet pairs. [11] Due to the geometric Meissner effect, 2D chiral superconductors on curved surfaces have been shown to spontaneously develop a magnetic flux.…”

Section: State Of the Artmentioning

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: State Of the Artmentioning

confidence: 99%

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

et al. 2021

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“…In these systems curvature has two main consequences: the appearance of a quantum geometric potential causing interesting phenomena at the nanoscale [24][25][26][27] and of a strain field producing a curvature-induced Rashba-type spin-orbit coupling (SOC) [28][29][30]. Theoretical studies have focused on new properties appearing in semiconductors [31][32][33][34] as well as in superconductors [35][36][37]. For instance, it was shown that geometric curvature can promote topological edge states in bent quantum wire with Rahsba SOC [32] and topological superconductivity in curved 2D topological insulators [37].…”

Section: Introductionmentioning

confidence: 99%

Curvature control of the superconducting proximity effect in diffusive ferromagnetic nanowires

Salamone,

Hugdal,

Amundsen

et al. 2021

Preprint

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Coupling a conventional s-wave superconductor to a ferromagnet allows, via the proximity effect, to generate superconducting triplet correlations. This feature can be employed to achieve a superconducting triplet spinvalve effect in superconductor-ferromagnet (SF) hybrid structures, for example by switching the magnetizations of the ferromagnets between parallel and antiparallel configurations in F1SF2 and SF1F2 trilayers, or in SF bilayers with both Rashba and Dresselhaus SOC. It was recently reported that geometric curvature can control the generation of long ranged triplets. We use this property to show that the superconducting critical temperature of an SF hybrid nanowire can be tuned by varying the curvature of the ferromagnetic side alone, with no need of another ferromagnet or SOC. We show that the variation of the critical temperature as a function of the curvature can be exploited to obtain a robust, curvature-controlled, superconducting triplet spin-valve effect. Furthermore, we perform an analysis with the inclusion of spin-orbit coupling and explain how it modifies the spin-valve effect both quantitatively and qualitatively.

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“…While the emergence of π states is typically bound to occur in superconductor/ferromagnet/superconductor junctions [14][15][16] , due to the extra π shift originating from the exchange coupling in the ferromagnetic layer, the role of spin-orbit fields can bring additional channels for the generation and control of 0-π transitions. Indeed, a π-Josephson effect and 0-π transitions can be realized in NCS-NCS junctions with the two NCSs having opposite orientation of the Rashba spin-orbit field 17 or by interfacing nanowires with low-dimensional electronic channels having non-trivial geometric shape at the nanoscale 18 . An anomalous Josephson current phase relation (CPR) can be also obtained by engineering magnetic quantum-dots at the NCS/s-wave spin-singlet superconductor (SSC) interface 19 .…”

Section: Introductionmentioning

confidence: 99%

Orbital tunable 0-$π$ transitions in Josephson junctions with noncentrosymmetric topological superconductors

Fukaya,

Keiji,

Tanaka

et al. 2020

Preprint

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We investigate the Josephson transport properties in a Josephson junction consisting of a conventional s-wave superconductor coupled to a multi-orbital noncentrosymmetric superconductor marked by an orbitally driven inversion asymmetry and isotropic interorbital spin-triplet pairing. Contrary to the canonical single band noncentrosymmetric superconductor, we demonstrate that the local interorbital spin-triplet pairing is tied to the occurrence of sign-changing spin-singlet pair amplitude on different bands with d-wave symmetry. Such multi-band d ± -wave state is a unique superconducting configuration that drives unexpected Josephson effects with 0-π transitions displaying a high degree of electronic control. Remarkably, we find that the phase state of a noncentrosymmetric/s-wave Josephson junction can be toggled between 0 and π in multiple ways through a variation of electron filling, strength of the spin-orbital coupling, amplitude of the inversion asymmetry interaction, and junction transparency. These results highlight an intrinsic orbital and electrical tunability of the Josephson response and provide unique paths to unveil the nature of unconventional multiorbital superconductivity as well as inspire innovative designs of Josephson quantum devices.

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Topological superconducting phases and Josephson effect in curved superconductors with time reversal invariance

Cited by 13 publications

References 78 publications

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

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

Curvature control of the superconducting proximity effect in diffusive ferromagnetic nanowires

Orbital tunable 0-$π$ transitions in Josephson junctions with noncentrosymmetric topological superconductors

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