Direction and symmetry transition of the vector order parameter in topological superconductors CuxBi2Se3

Kawai, Takumi; Wang, C. G.; Kandori, Y.; Honoki, Y.; Matano, Kazuaki; Kambe, Takashi; Zheng, Guojun

doi:10.1038/s41467-019-14126-w

Cited by 38 publications

(27 citation statements)

References 46 publications

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“…In Ref. [4] authors investigated excessive Cu doping in Bi 2 Se 3 . They obtain several samples with Cu concentration 0.28 < x < 0.54.…”

Section: Discussionmentioning

confidence: 99%

“…Several years ago topological superconductivity in the bulk of doped topological insulator (TI) A x Bi 2 Se 3 was discovered [1][2][3]. Dopant atom A can be Cu [1][2][3][4][5][6][7], Sr [8][9][10][11][12][13] or Nb [14][15][16][17]. Superconducting phase in these materials shows C 2 rotational symmetry that breaks C 3 symmetry of the normal state.…”

Section: Introductionmentioning

confidence: 99%

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Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor

Khokhlov,

Akzyanov

2021

Preprint

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We investigate the response of a doped topological insulator Bi2Se3 with spin-triplet nematic superconductivity to external magnetization. We calculate the Zeeman part of magnetic susceptibility for nematic and chiral superconducting phases near Tc in Ginzburg-Landau formalism. Superconducting order parameter from Eu representation has non-trivial coupling with the transversal Zeeman field that results in a paramagnetic response to a magnetization. The topology of a Fermi surface has a strong influence on magnetic susceptibility. Lifshitz transition from closed to open Fermi surface eventually leads to phase transition from the nematic to chiral phase. At the transition point, magnetic susceptibility diverges. Also, we study the effects of the electron-electron interaction on the competition between nematic and chiral phases. We found that in a real system, electron-electron interaction can drive nematic to chiral phase only in the vicinity of the phase transition. We compare our results with the existing experimental data.

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“…In Ref. [4] authors investigated excessive Cu doping in Bi 2 Se 3 . They obtain several samples with Cu concentration 0.28 < x < 0.54.…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor

Khokhlov,

Akzyanov

2021

Preprint

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“…While topological superconductivity represents a topical area of quantum matter which currently attracts great attention, this domain is beyond our consideration and the reader is referred to dedicated reviews [636][637][638] and original works. [639][640][641][642][643][644] In what follows, a brief mentioning of topological superconductors will be restricted to those in curvilinear geometries.…”

Section: Curvilinear Superconductorsmentioning

confidence: 99%

“…helically wound around a cylinder have also been intensively explored for improving the performance of power transmission cables. [676,677] • Topological superconductors in curvilinear geometries: In the recent years, a great deal of experimental and theoretical work has been concerned with topological superconductors, see for example, recent works [639][640][641][642][643][644] and references therein.…”

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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“…However, only a small part of scattering events contribute to the pair breaking mechanism [23]. Excessive Cu doping of Bi 2 Se 3 brings additional defects into the system that leads to a slight decrease of critical temperature with the increased doping [24,25].…”

Section: Introductionmentioning

confidence: 99%

Lifshitz transition in dirty nematic superconductor

Akzyanov

2021

Preprint

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Direction and symmetry transition of the vector order parameter in topological superconductors CuxBi2Se3

Cited by 38 publications

References 46 publications

Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor

Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor

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

Lifshitz transition in dirty nematic superconductor

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