Signature of superconducting states in cubic crystal without inversion symmetry

Abstract

The effects of absence of inversion symmetry on superconducting states are investigated theoretically. In particular we focus on the noncentrosymmetric compounds which have the cubic symmetry $O$ like Li${}_2$Pt${}_3$B. An appropriate and isotropic spin-orbital interaction is added in the Hamiltonian and it acts like a magnetic monopole in the momentum space. The consequent pairing wavefunction has an additional triplet component in the pseudospin space, and a Zeeman magnetic field $\mathbf{B}$ can induce a collinear supercurrent $\mathbf{J}$ with a coefficient $\kappa (T)$. The effects of anisotropy embedded in the cubic symmetry and the nodal superconducting gap function on $\kappa (T)$ are also considered. From the macroscopic perspectives, the pair of mutually induced $\mathbf{J}$ and magnetization $\mathbf{M}$ can affect the distribution of magnetic field in such noncentrosymmetric superconductors, which is studied through solving the Maxwell equation in the Meissner geometry as well as the case of a single vortex line. In both cases, magnetic fields perpendicular to the external ones emerge as a signature of the broken symmetry.

16 pages in pre-print format

References in corpus (4)

• Spin Triplet Superconducting State due to Broken Inversion Symmetry in Li_2Pt_3B
• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Crystal Symmetry, Electron-Phonon Coupling, and Superconducting Tendencies in Li${}_2$Pd${}_3$B and Li${}_2$Pt${}_3$B
• Surface and vortex structures in noncentrosymmetric superconductors under applied magnetic fields

Cited by in corpus (11)

• Spin current in topologically trivial and nontrivial noncentrosymmetric superconductors
• Superconducting state in the non-centrosymmetric Mg_{9.3}Ir_{19}B_{16.7} and Mg_{10.5}Ir_{19}B_{17.1} revealed by NMR
• Vortices with magnetic field inversion in noncentrosymmetric superconductors
• Spiral magnetic field and bound states of vortices in noncentrosymmetric superconductors
• Orbital-limiting and modulation induced by missing parity in non-centrosymmetric superconductors
• Tranverse magnetic field distribution in the vortex state of noncentrosymmetric superconductor with O symmetry
• Unique properties of the optical activity in noncentrosymmetric superconductors: sum rule, missing area, and relation with the superconducting Edelstein effect
• Vortex structure and intervortex interaction in superconducting structures with intrinsic diode effect
• Coalescence of Andreev bound states on the surface of a chiral topological semimetal
• Orbital optical activity in noncentrosymmetric metals and superconductors
• Perspectives on Magnetic/Superconductor Hybrid Systems: Long-range Electromagnetic Phenomena Induced by Proximity Effect and Interfacial Spin-orbit Coupling