Supercurrent-induced topological phase transitions

Takasan, Kazuaki; Sumita, Shuntaro; Yanase, Youichi

doi:10.48550/arxiv.2110.06959

Cited by 2 publications

(11 citation statements)

References 83 publications

(136 reference statements)

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“…Indeed, we confirm the movement of the nodes by considering the larger out-of-plane supercurrent with |𝒒| = 0.8 [Figs. 4(a [76] as we commented in our previous study [56].…”

Section: B the Case Of Out-of-plane Supercurrentsupporting

confidence: 56%

“…A similar treatment is used in Refs. [56,[71][72][73]. Under the above assumption, the mean-field Hamiltonian is given by…”

Section: Modelmentioning

confidence: 99%

“…The robustness of the line nodes can be understood by perturbation theory discussed in Ref. [56]. Supposing that the applied supercurrent is small, the magnitude of the currentinduced energy gap at the original nodal points 𝒌 0 is estimated by…”

Section: A the Case Of In-plane Supercurrentmentioning

confidence: 99%

“…In the absence of the supercurrent, the chiral symmetry Γ ensures the Z 2 quantization of the Berry phase, which coincides with the parity of the 1D winding number in Eq. ( 10) [56,81]:…”

Section: Surface Arc Statesmentioning

confidence: 99%

“…Indeed, previous theoretical studies have suggested that fully gapped topological superconductivity can be realized by applying a Zeeman field [53,54] or laser light [55] to noncentrosymmetric 𝑑-wave superconductors. Furthermore, in our previous work, we have elucidated the possibility of supercurrent-induced topological phase transition in two-dimensional (2D) noncentrosymmetric superconductors [56]. Such a topological superconducting phase with a finite center-of-mass (COM) momentum of the Cooper pairs has garnered significant attention recently [57][58][59][60][61][62][63][64][65][66][67][68].…”

Section: Introductionmentioning

confidence: 99%

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Supercurrent-Induced Weyl Superconductivity

Sumita,

Takasan

2022

Preprint

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We show that Weyl superconductivity can be induced by finite supercurrent in noncentrosymmetric spin-orbitcoupled superconductors with line nodes. We introduce a three-dimensional tight-binding model of a tetragonal superconductor in a 𝐷 + 𝑝-wave pairing state with a finite center-of-mass momentum, and elucidate that a line-nodal to point-nodal spectral transition occurs by applying an infinitesimal supercurrent. We also clarify that the higher-order effect in spin-orbit coupling is particularly important for this phenomenon. The point nodes are protected by topologically nontrivial Weyl charges, and therefore gapless arc states appear on the surface of the superconductor. Furthermore, both the positions and the Weyl charges of the point nodes depend on the direction of the current. In addition, a quantized Berry phase defined on high-symmetry planes characterizes the Weyl nodes when the in-plane supercurrent is considered. Our proposition paves a new way for controlling the superconducting gap structures by using an external field.

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“…Indeed, we confirm the movement of the nodes by considering the larger out-of-plane supercurrent with |𝒒| = 0.8 [Figs. 4(a [76] as we commented in our previous study [56].…”

Section: B the Case Of Out-of-plane Supercurrentsupporting

confidence: 56%

“…A similar treatment is used in Refs. [56,[71][72][73]. Under the above assumption, the mean-field Hamiltonian is given by…”

Section: Modelmentioning

confidence: 99%

Section: A the Case Of In-plane Supercurrentmentioning

confidence: 99%

“…In the absence of the supercurrent, the chiral symmetry Γ ensures the Z 2 quantization of the Berry phase, which coincides with the parity of the 1D winding number in Eq. ( 10) [56,81]:…”

Section: Surface Arc Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Supercurrent-Induced Weyl Superconductivity

Sumita,

Takasan

2022

Preprint

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Topological d-wave superconductivity in two dimensions

Yanase,

Daido,

Takasan

et al. 2021

Preprint

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Despite intensive searches for topological superconductors, the realization of topological superconductivity remains under debate. Previous proposals for the topological s-wave, p-wave, and chiral d-wave superconductivity have both advantages and disadvantages. In this review, we discuss two-dimensional topological superconductivity based on the non-chiral d-wave superconductors. It is shown that the noncentrosymmetric d-wave superconductors become topological superconductors under an infinitesimal Zeeman field without fine-tuning of parameters. Floquet engineering for introducing the Zeeman field in a controllable way is also proposed. When the two-dimensional noncentrosymmetric superconductors are stacked to recover the global inversion symmetry, the fieldinduced parity transition may occur, and the high-field odd-parity superconducting state realizes various topological phases depending on the stacking structures. Two-dimensional heterostructures of strongly correlated electron systems, which have been developed by recent experiments, are proposed as a platform of the high-temperature topological superconductivity and the interplay of topology and strong correlations in superconductors.

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Supercurrent-induced topological phase transitions

Cited by 2 publications

References 83 publications

Supercurrent-Induced Weyl Superconductivity

Supercurrent-Induced Weyl Superconductivity

Topological d-wave superconductivity in two dimensions

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