Magnetic Properties of a Superconductor with no Inversion Symmetry

Abstract

We study the magnetic properties of a superconductor in a crystal without $z\to -z$ symmetry, in particular how the lack of this symmetry exhibits itself. We show that, though the penetration depth itself shows no such effect, for suitable orientation of magnetic field, there is a magnetic field discontinuity at the interface which shows this absence of symmetry. The magnetic field profile of a vortex in the $x-y$ plane is shown to be identical to that of an ordinary anisotropic superconductor except for a shift in the $-z$ direction by $\tilde{\kappa }{\lambda }_x$ (see errata). For a vortex along $z$, there is an induced magnetization along the radial direction.

J. Low Temp. Physics, 140, 67 (2005); with Errata

Cited by in corpus (22)

• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Fermi liquid theory for heavy fermion superconductors without inversion symmetry : Magnetism and transport coefficients
• Zero-energy vortex bound states in noncentrosymmetric superconductors
• Magnetoelectric effects in superconducting nanowires with Rashba spin-orbit coupling
• Signature of superconducting states in cubic crystal without inversion symmetry
• Surface and vortex structures in noncentrosymmetric superconductors under applied magnetic fields
• Unambiguous probe of parity-mixing of Cooper pairs in noncentrosymmetric superconductors
• Basic Properties of a Vortex in a Noncentrosymmetric Superconductor
• Signatures of the Helical Phase in the Critical Fields at Twin Boundaries of Non-Centrosymmetric Superconductors
• Giant surface Edelstein effect in $d$-wave superconductors
• Rotation of the magnetic vortex lattice in Ru7B3 driven by the effects of broken time-reversal and inversion symmetry
• Anisotropic vortex squeezing in synthetic Rashba superconductors: a manifestation of Lifshitz invariants
• Analytical Result on Electronic States around a Vortex Core in a Noncentrosymmetric Superconductor
• Equilibrium Surface Current and Role of U(1) Symmetry: sum rule and surface perturbations
• Tranverse magnetic field distribution in the vortex state of noncentrosymmetric superconductor with O symmetry
• Supercurrent-induced Skyrmion dynamics and Tunable Weyl points in Chiral Magnet with Superconductivity
• Spontaneous finite momentum pairing in superconductors without inversion symmetry
• Adherence of the rotating vortex lattice in the noncentrosymmetric superconductor Ru${}_7$B${}_3$ to the London model
• Vortex structure and intervortex interaction in superconducting structures with intrinsic diode effect
• Impurity Effect on the Local Density of States around a Vortex in Noncentrosymmetric Superconductors
• Perspectives on Magnetic/Superconductor Hybrid Systems: Long-range Electromagnetic Phenomena Induced by Proximity Effect and Interfacial Spin-orbit Coupling