Critical state solution of a cable made of curved thin superconducting tapes

Brambilla, Roberto; Grilli, Francesco

doi:10.1088/0953-2048/27/12/125010

Cited by 2 publications

(3 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[701] The reason for this is that in power transmission cables, superconducting tapes are wrap around a cylindrical former and the tapes can be curved conforming the shape of the cylinder. [655,664] In particular, theoretical investigations revealed that bending a superconducting tape leads to a reduction of the magnetic field acting perpendicular to the tape that has been suggested as a route to reduction of ac losses. [654,655] For a thin-film superconducting tubular wire, analytical expressions for the magnetic-field and current distributions have been obtained [661] and timedependent electric fields with a trapped vortex have been shown to be very similar to the ones exhibited by resistively shunted Josephson junctions.…”

Section: State Of the Artmentioning

confidence: 99%

“…[655,664] In particular, theoretical investigations revealed that bending a superconducting tape leads to a reduction of the magnetic field acting perpendicular to the tape that has been suggested as a route to reduction of ac losses. [654,655] For a thin-film superconducting tubular wire, analytical expressions for the magnetic-field and current distributions have been obtained [661] and timedependent electric fields with a trapped vortex have been shown to be very similar to the ones exhibited by resistively shunted Josephson junctions. [657] Curved thin sub-micrometer-sized stripes conforming to cylindrical shells have been theoretically investigated with emphasis on nucleation [660] and thermal activation [659] of phase-slip lines.…”

Section: State Of the Artmentioning

confidence: 99%

“…[637] Majorana quasi-particles possess a property of being their own antiparticles, that makes Majorana modes topologically protected and particularly attractive for decoherenceimmune and fault-tolerant quantum computing. [706] In 2D superconductors, the presence of such Majorana modes is Theory and experiment TDGL equation [652] Theory and experiment Tinkham's approach, e-beam lithography [653] Curved strip Theory Complex field approach [654,655] Theory TDGL equation [656] Cylinder Theory TDGL equation [649,656,657] Theory TDGL equation, cylinder with slit [62,63,658] Theory TDGL and London equations, LAMH theory [659] Theory TDGL equation, Runge-Kutta method [660] Theory Complex field approach [661] Theory COMSOL [662] Experiment He + FIBID [663] Experiment Ionic gating in chiral nanotubes of WS 2 [650] Experiment MOD, MOCVD of LZO and YBCO on RABITS [664] Experiment Rolled-up technology, hybrid rolled-up microtubes [28,665] Experiment Evaporation on rotating filaments [666] Theory and experiment Maxwell equations [667] Theory and experiment TDGL equation, evaporation on rotating filaments [668] Theory and experiment London equation, BCS theory, evaporation on cylindrical formers [669] Spiral Experiment E-beam lithography [670] Experiment E-beam lithography [671] Theory and experiment HFSS, photolithography [672,673] Theory and experiment Impedance matrix, photolithography [674,675] Helix Theory The model of Garber et al [676] [677] Theory TDGL equation [678] Experiment Rolled-up technology, COMSOL for self-heating …”

Section: State Of the Artmentioning

confidence: 99%

See 2 more Smart Citations

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

et al. 2021

View full text Add to dashboard Cite

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-...

show abstract