Eilenberger and London theories for transverse components of flux line lattice form factors in uniaxial superconductors

Amano, Yuujirou; Ishihara, Masahiro; Ichioka, Masanori; Nakai, N.; Machida, Kazushige

doi:10.1103/physrevb.90.144514

Cited by 12 publications

(15 citation statements)

References 23 publications

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“…In this case the associated transverse field modulation (h x ) becomes dominant for small, but non-zero, angles between the applied field and the basal plane. 37,38,46 It is the relatively large h x that makes the present VL SANS measurements possible, since the signal due to h z for in-plane fields is vanishingly small in Sr 2 RuO 4 . 36…”

Section: Resultsmentioning

confidence: 95%

Anisotropy and multiband superconductivity in Sr2RuO4 determined by small-angle neutron scattering studies of the vortex lattice

et al. 2017

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Despite numerous studies the exact nature of the order parameter in superconducting Sr2RuO4 remains unresolved. We have extended previous small-angle neutron scattering studies of the vortex lattice in this material to a wider field range, higher temperatures, and with the field applied close to both the 100 and 110 basal plane directions. Measurements at high field were made possible by the use of both spin polarization and analysis to improve the signal-to-noise ratio. Rotating the field towards the basal plane causes a distortion of the square vortex lattice observed for H 001 , and also a symmetry change to a distorted triangular symmetry for fields close to 100. The vortex lattice distortion allows us to determine the intrinsic superconducting anisotropy between the c axis and the Ru-O basal plane, yielding a value of ∼ 60 at low temperature and low to intermediate fields. This greatly exceeds the upper critical field anisotropy of ∼ 20 at low temperature, reminiscent of Pauli limiting. Indirect evidence for Pauli paramagnetic effects on the unpaired quasiparticles in the vortex cores are observed, but a direct detection lies below the measurement sensitivity. The superconducting anisotropy is found to be independent of temperature but increases for fields 1 T, indicating multiband superconductvity in Sr2RuO4. Finally, the temperature dependence of the scattered intensity provides further support for gap nodes or deep minima in the superconducting gap.

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Section: Resultsmentioning

confidence: 95%

Anisotropy and multiband superconductivity in Sr2RuO4 determined by small-angle neutron scattering studies of the vortex lattice

et al. 2017

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“…In highly anisotropic superconductors spin-flip scattering, due to the transverse VL field modulation, can greatly exceed the non-spin-flip scattering usually used to image the VL (Amano et al, 2014;Kealey et al, 2001;Kuhn et al, 2016;Thiemann et al, 1989). Since the spin flip scattering vanishes for fields within the basal plane, this also allows a precise in situ alignment of the magnetic field.…”

Section: Complex Order Parameters Multigap Superconductivity and Paumentioning

confidence: 99%

Magnetic small-angle neutron scattering

et al. 2019

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Small-angle neutron scattering (SANS) is one of the most important techniques for microstructure determination, being utilized in a wide range of scientific disciplines, such as materials science, physics, chemistry, and biology. The reason for its great significance is that conventional SANS is probably the only method capable of probing structural inhomogeneities in the bulk of materials on a mesoscopic real-space length scale, from roughly 1 − 300 nm. Moreover, the exploitation of the spin degree of freedom of the neutron provides SANS with a unique sensitivity to study magnetism and magnetic materials at the nanoscale. As such, magnetic SANS ideally complements more real-space and surface-sensitive magnetic imaging techniques, e.g., Lorentz transmission electron microscopy, electron holography, magnetic force microscopy, Kerr microscopy, or spinpolarized scanning tunneling microscopy. In this review article we summarize the recent applications of the SANS method to study magnetism and magnetic materials. This includes a wide range of materials classes, from nanomagnetic systems such as soft magnetic Fe-based nanocomposites, hard magnetic Nd−Fe−B-based permanent magnets, magnetic steels, ferrofluids, nanoparticles, and magnetic oxides, to more fundamental open issues in contemporary condensed matter physics such as skyrmion crystals, noncollinar magnetic structures in noncentrosymmetric compounds, magnetic/electronic phase separation, and vortex lattices in type-II superconductors. Special attention is paid not only to the vast variety of magnetic materials and problems where SANS has provided direct insight, but also to the enormous progress made regarding the micromagnetic simulation of magnetic neutron scattering.

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“…The final section IX is devoted to conclusion and future problems. The present paper belongs to our series of papers on the magnetic field orientation dependence of uniaxial superconductors: chiral p-wave case [46] and s-wave and d-wave cases without PPE [47].…”

Section: Introductionmentioning

confidence: 99%

Pauli paramagnetic effects on mixed-state properties in a strongly anisotropic superconductor: Application toSr2RuO4

Amano

Ishihara

Ichioka³

et al. 2015

Phys. Rev. B

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We study theoretically the mixed state properties of a strong uniaxially-anisotropic type II superconductor with the Pauli paramagnetic effect, focusing on their behaviors when the magnetic field orientation is tilted from the conduction layer ab plane. On the basis of Eilenberger theory, we quantitatively estimate significant contributions of the Pauli paramagnetic effects on a variety of physical observables, including transverse and longitudinal components of the flux line lattice form factors, magnetization curves, Sommerfeld coefficient, field distributions and magnetic torques. We apply these studies to Sr2RuO4 and quantitatively explain several seemingly curious behaviors, including the Hc2 suppression for the ab plane direction, the larger anisotropy ratio and intensity found by the spin-flip small angle neutron scattering, and the first order transition observed recently in magnetocaloric, specific heat and magnetization measurements in a coherent and consistent manner. Those lead us to conclude that Sr2RuO4 is either a spin-singlet or a spin-triplet pairing with the d-vector components in the ab plane.

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Eilenberger and London theories for transverse components of flux line lattice form factors in uniaxial superconductors

Cited by 12 publications

References 23 publications

Anisotropy and multiband superconductivity in Sr2RuO4 determined by small-angle neutron scattering studies of the vortex lattice

Anisotropy and multiband superconductivity in Sr2RuO4 determined by small-angle neutron scattering studies of the vortex lattice

Magnetic small-angle neutron scattering

Pauli paramagnetic effects on mixed-state properties in a strongly anisotropic superconductor: Application toSr2RuO4

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