Nematic superconductivity in topological insulators induced by hexagonal warping

Akzyanov, R. S.; Khokhlov, D. A.; Rakhmanov, A. L.

doi:10.1103/physrevb.102.094511

Cited by 13 publications

(3 citation statements)

References 36 publications

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“…We see that large single-electron gap m disfavors ∆ 2 and nematic ∆ 4 order parameters and stimulates ∆ 3 . Hexagonal warping stimulates nematic superconductivity [48] ∆ 4 that allows it to win against ∆ 2 . This analysis is similar to one from Ref.…”

Section: Spectral Representationmentioning

confidence: 99%

Lifshitz transition in dirty nematic superconductor

Akzyanov

2021

Preprint

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Section: Spectral Representationmentioning

confidence: 99%

Lifshitz transition in dirty nematic superconductor

Akzyanov

2021

Preprint

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“…However, another research of Nb x Bi 2 Se 3 shows the presence of time-reversal symmetry in the superconducting phase [15][16][17]. Theoretical calculations predict the chiral phase is the ground state in 2D films of doped Bi 2 Se 3 [26,27] while in a 3D system with a closed Fermi surface, the nematic phase has the lower free energy than the chiral state [28][29][30]. Experimentally, the Fermi surface of doped Bi 2 Se 3 with the superconductivity has a topology of an open cylinder [31,32] which is an intermediate case between 2D and 3D Fermi surface.…”

Section: Introductionmentioning

confidence: 99%

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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“…Introduction.-Nematic superconductivity in doped topological insulators attracts a great attention nowadays [1][2][3][4][5][6][7][8]. In these systems the superconducting order parameter is a time-reversal invariant, which corresponds to E u representation that breaks inversion symmetry and couples electrons with the same spin projections but from different orbitals [9,10].…”

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Strain-induced spin vortex and Majorana Kramers pairs in doped topological insulators with nematic superconductivity

Akzyanov

Rakhmanov

2021

Phys. Rev. B

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Using Ginzburg-Landau approach we show that the strain of the nematic superconductor can generate a specific (nematic) vorticity. In the case of doped topological insulators that vorticity forms a spin vortex. We find two types of topologically different spin vortices that either enhance (type I) or suppress (type II) superconductivity far from the vortex core. We apply Bogoliubov-de Geunnes equations to study electronic states in the nematic superconductor with spin vortices. We find that in the case of the vortex of type I, zero-energy states are localized near the vortex core. These states can be identified as Majorana Kramer's pairs. In the case of the vortex of type II, zeroenergy states form Majorana flat bands. Thus, we establish a non-trivial connection between the strain and Majorana fermions in the doped topological insulators with nematic superconductivity.

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Nematic superconductivity in topological insulators induced by hexagonal warping

Cited by 13 publications

References 36 publications

Lifshitz transition in dirty nematic superconductor

Lifshitz transition in dirty nematic superconductor

Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor

Strain-induced spin vortex and Majorana Kramers pairs in doped topological insulators with nematic superconductivity

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