Quantum transport in noncentrosymmetric superconductors and thermodynamics of ferromagnetic superconductors

Abstract

We consider a general Hamiltonian describing coexistence of itinerant ferromagnetism, spin-orbit coupling and mixed spin-singlet/triplet superconducting pairing in the context of mean-field theory. The Hamiltonian is diagonalized and exact eigenvalues are obtained, thus allowing us to write down the coupled gap equations for the different order parameters. Our results may then be applied to any model describing coexistence of any combination of these three phenomena. As a specific application of our results, we consider tunneling between a normal metal and a noncentrosymmetric superconductor with mixed singlet and triplet gaps. The conductance spectrum reveals information about these gaps in addition to how the influence of spin-orbit coupling is manifested. We also consider the coexistence of itinerant ferromagnetism and triplet superconductivity as a model for recently discovered ferromagnetic superconductors. The coupled gap equations are solved self-consistently, and we study the conditions necessary to obtain the coexistent regime of ferromagnetism and superconductivity. Analytical expressions are presented for the order parameters, and we provide an analysis of the free energy to identify the preferred system state. Moreover, we make specific predictions concerning the heat capacity for a ferromagnetic superconductor. In particular, we report a nonuniversal relative jump in the specific heat, depending on the magnetization of the system, at the uppermost superconducting phase transition. [Shortened abstract due to arXiv submission.]

arXiv comment19 pages, 15 figures (high quality figures available in published version). Accepted for publication in Phys. Rev. B

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• Types of topological surface states in nodal noncentrosymmetric superconductors
• Andreev reflection from non-centrosymmetric superconductors and Majorana bound state generation in half-metallic ferromagnets
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Surface bound states and spin currents in non-centrosymmetric superconductors
• Magnetic Properties in Non-centrosymmetric Superconductors with and without Antiferromagnetic Order
• Unconventional superconductivity induced in Nb films by adsorbed chiral molecules
• Proximity effect with noncentrosymmetric superconductors
• Many-body effects on superconductivity mediated by double-magnon processes in altermagnets
• Effects of interface spin-orbit coupling on tunneling between normal metal and chiral p-wave superconductor
• Spin-sensitive Long-ranged Proximity Effect for Triplet Superconductors
• Spin-Transfer and Exchange Torques in Ferromagnetic Superconductors
• Zeeman field induced topological phase transitions in triplet superconductors
• Tunneling conductance of ferromagnet/noncentrosymmetric superconductor junctions
• Josephson Effect in Noncentrosymmetric Superconductor Junctions
• Tunneling into d-wave superconductors: Effects of interface spin-orbit coupling
• Thermodynamics of ferromagnetic superconductors with spin-triplet electron pairing
• Coexistence of itinerant ferromagnetism and a non-unitary superconducting state with line nodes: possible application to UGe${}_2$
• Superconductivity in a two-dimensional superconductor with Rashba and Dresselhaus spin-orbit couplings
• Unambiguous probe of parity-mixing of Cooper pairs in noncentrosymmetric superconductors
• Nature and symmetry of the order parameter of the noncentrosymmetric superconductor Li2Pt3B
• Nontrivial interplay between superconductivity and spin-orbit coupling in non-centrosymmetric ferromagnets
• Topological properties of ferromagnetic superconductors
• Josephson Effect between Conventional and Rashba Superconductors
• Ginzburg-Landau description of twin boundaries in noncentrosymmetric superconductors
• Signature of Anomalous Andreev bound states in magnetic Josephson junction of noncentrosymmetric superconductor on a topological insulator
• Microscopic origin of ultranodal superconducting states in spin-1/2 systems
• Spin transport and Spin Tunnelling Magneto-Resistance (STMR) of F$|$NCSC$|$F spin valve
• Theory of Self-Induced Vortex State in Ferromagnetic Superconductors
• Effect of Rashba spin-orbit coupling, magnetization and mixing of gap parameter on tunnelling conductance in F$|$NCSC junction of an F$|$S$|$F spin valve
• Spontaneous finite momentum pairing in superconductors without inversion symmetry
• Density of states near a vortex core in ferromagnetic superconductors: Application to STM measurements
• Superfluidity enhanced by spin-flip tunnelling in the presence of a magnetic field