Derivation of the Ginzburg-Landau equations of a ferromagnetic p-wave superconductor

Abstract

We derive a Ginzburg-Landau free energy for a p-wave ferromagnetic superconductor. The starting point is a microscopic Hamiltonian including a spin generalised BCS term and a Heisenberg exchange term. We find that coexistence of magnetisation and superconductivity depends on the sign of the energy-gradient of the DOS at Fermi level. We also compute the tunneling contribution to the Ginzburg-Landau free energy, and find expressions for the spin-currents and Josephson currents across a tunneling junction separating two ferromagnetic p-wave superconductors.

arXiv comment11 pages, 20 references, no figures. Submitted to Phys Rev B

References in corpus (11)

• Theory of Ferromagnetic Superconductivity
• Tunnel junctions of unconventional superconductors
• A Model for Superconductivity in Ferromagnetic ZrZn2
• Spin Josephson effect in ferromagnet/ferromagnet tunnel junctions
• The gap equations for spin singlet and triplet ferromagnetic superconductors
• Superconductivity induced by spark erosion in ZrZn2
• Coexistence of ferromagnetism and superconductivity
• Interplay between ferromagnetism and superconductivity in tunneling currents
• Spin and Charge Josephson effects between non-uniform superconductors with coexisting helimagnetic order
• Meissner phases in spin-triplet ferromagnetic superconductors
• Conventional Magnetic Superconductors: Coexistence of Singlet Superconductivity and Magnetic Order

Cited by in corpus (11)

• Bogoliubov Fermi surfaces stabilized by spin-orbit coupling
• Spin Order in Paired Quantum Hall States
• Nodal topological superconductivity in nodal-line semimetals
• Microscopic derivation of Ginzburg-Landau equations for coexistent states of superconductivity and magnetism
• Stability of Bogoliubov Fermi Surfaces within BCS Theory
• Current induced magnetization dynamics and magnetization switching in superconducting ferromagnetic hybrid (F$|$S$|$F) structures
• Derivation of a Ginzburg-Landau free energy density containing mixed gradient terms of a $p+ip$ superconductor with spin-orbit coupling
• Superconducting Order Parameters in Spin Space Groups: Methodology and Application
• Ginzburg-Landau Equations for Coexistent States of Superconductivity and Antiferromagnetism in t-J model
• Theory of Self-Induced Vortex State in Ferromagnetic Superconductors
• Towards 4 formalisms description of properties of the unconventional Josephson junction and unconventional SQUIDs made by putting non-superconducting strip on the top of superconducting strip