Is the anisotropy of the upper critical field of Sr2RuO4consistent with a helicalp-wave state?

Zhang, JIngchuan; Lörscher, Christopher; Gu, Qiang; Klemm, Richard A.

doi:10.1088/0953-8984/26/25/252201

Cited by 20 publications

(41 citation statements)

References 48 publications

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“…pairings with different d k -vectors are exactly degenerate, which includes both time-reversal breaking chiral TSC and time-reversal-invariant helical TSC [38], as shown in the appendix. A finite SOC can lift the degeneracy between the helical and chiral p + ip pairings.…”

Section: E Helical Tscmentioning

confidence: 99%

Topologicalp+ipsuperconductivity in doped graphene-like single-sheet materialsBC3

Chen

Yao

et al. 2015

Phys. Rev. B

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We theoretically study exotic superconducting phases in graphenelike single-sheet material BC3 doped to its type-II Van Hove singularity whose saddle point momenta are not time-reversalinvariant. From combined renormalization group analysis and RPA calculations, we show that the dominant superconducting instability induced by weak repulsive interactions is in the timereversal-invariant p + ip pairing channel because of the interplay among dominant ferromagnetic fluctuations, subleading spin fluctuations at finite momentum, and spin-orbit coupling. Such timereversal-invariant p + ip superconductivity has nontrivial Z2 topological invariant. Our results show that doped BC3 provides a promising route to realize a genuine 2D helical p + ip superconductor.

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Section: E Helical Tscmentioning

confidence: 99%

Topologicalp+ipsuperconductivity in doped graphene-like single-sheet materialsBC3

Chen

Yao

et al. 2015

Phys. Rev. B

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“…Here we investigate a time reversal symmetry preserving helical pairing 28,[33][34][35][36] state under an in-plane magnetic field using a realistic three-dimensional (3D) tightbinding (TB) model. We focus on results from two experimental studies 30,37 to probe the internal symmetry of the Cooper pairs, and report two key findings.…”

Section: Introductionmentioning

confidence: 99%

Superconducting subphase and substantial Knight shift in Sr2RuO4

et al. 2020

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“…Although this was never done in upper critical field calculations [17,18,32,42,48,49,52,53], the reasons given for not doing it were that impurities would broaden the levels, smearing out the Landau level spacings [18,52]. However, with the present quality of some materials, that argument should be reexamined.…”

Section: Gor'kov's Derivation Of the Ginzburg-landau Equationsmentioning

confidence: 99%

“…However, with the present quality of some materials, that argument should be reexamined. More important, in order to calculate the upper critical induction B c2 , one requires the paired electrons (or holes) to be in Landau levels [17,18,32,42,48,49,52,53]. However, as discussed in the next section, it is not clear that electrons (or holes) will only pair with other electrons (or holes) in the same Landau orbit.…”

Section: Gor'kov's Derivation Of the Ginzburg-landau Equationsmentioning

confidence: 99%

“…One can then substitute this into the equation for F † , multiply by the pairing interaction, and obtain a self-consistent equation for ∆ to order ∆ 3 [54,55]. The coefficients of the two terms proportional to ∆ define the upper critical induction B c2 [18,32,42,48,49,52,53]. Functionally integrating the cubic equation with respect to ∆ j,σ,σ (r j , r j ) and by neglecting the field dependence of the resulting term proportional to |∆| 4 , one can obtain the generalized Ginzburg-Landau free energy.…”

Section: Gor'kov's Derivation Of the Ginzburg-landau Equationsmentioning

confidence: 99%

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Towards a Microscopic Theory of the Knight Shift in an Anisotropic, Multiband Type-II Superconductor

Klemm¹

2018

Magnetochemistry

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A method is proposed to extend the zero-temperature Hall-Klemm microscopic theory of the Knight shift K in an anisotropic and correlated, multi-band metal to calculate K(T) at finite temperatures T both above and into its superconducting state. The transverse part of the magnetic induction B(t) = B 0 + B 1 (t) causes adiabatic changes suitable for treatment with the Keldysh contour formalism and analytic continuation onto the real axis. We propose that the Keldysh-modified version of the Gor'kov method can be used to evaluate K(T) at high B 0 both in the normal state, and by quantizing the conduction electrons or holes with Landau orbits arising from B 0 , also in the entire superconducting regime for an anisotropic, multiband Type-II BCS superconductor. Although the details have not yet been calculated in detail, it appears that this approach could lead to the simple resultwhere 2|∆(B 0 , T)| is the effective superconducting gap. More generally, this approach can lead to analytic expressions for K S (T) for anisotropic, multiband Type-II superconductors of various orbital symmetries that could aid in the interpretation of experimental data on unconventional superconductors.

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Is the anisotropy of the upper critical field of Sr₂RuO₄consistent with a helicalp-wave state?

Cited by 20 publications

References 48 publications

Topologicalp+ipsuperconductivity in doped graphene-like single-sheet materialsBC3

Topologicalp+ipsuperconductivity in doped graphene-like single-sheet materialsBC3

Superconducting subphase and substantial Knight shift in Sr2RuO4

Towards a Microscopic Theory of the Knight Shift in an Anisotropic, Multiband Type-II Superconductor

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