Ginzburg-Landau Theory for Flux Phase and Superconductivity in Model
arXiv:1708.03542 · doi:10.7566/JPSJ.87.024703
Abstract
Ginzburg-Landau (GL) equations and GL free energy for flux phase and superconductivity are derived microscopically from the model on a square lattice. Order parameter (OP) for the flux phase has direct coupling to a magnetic field, in contrast to the superconducting OP which has minimal coupling to a vector potential. Therefore, when the flux phase OP has unidirectional spatial variation, staggered currents would flow in a perpendicular direction. The derived GL theory can be used for various problems in high- cuprate superconductors, e.g., states near a surface or impurities, and the effect of an external magnetic field. Since the GL theory derived microscopically directly reflects the electronic structure of the system, e.g., the shape of the Fermi surface that changes with doping, it can provide more useful information than that from phenomenological GL theories.
arXiv comment12 pages
References in corpus (22)
- Hidden Order in the Cuprates
- Tunneling into Current-Carrying Surface States of High T Superconductors
- Fractional Vortices as Evidence of Time-Reversal Symmetry Breaking in High-Temperature Superconductors
- Phase Diagram and Pairing Symmetry of the Two-Dimensional t-J Model by a Variation Theory
- An explanation for a universality of transition temperatures in families of copper oxide superconductors
- Possible charge instabilities in two-dimensional doped Mott insulators
- Proximity-induced time-reversal symmetry breaking at Josephson junctions between unconventional superconductors
- Spontaneously broken time-reversal symmetry in high-temperature superconductors
- Edge-Ferromagnetism from Majorana Flat-Bands: Application to Split Tunneling-Conductance Peaks in the High-Tc Cuprates
- Staggered-flux normal state in the weakly doped t-J model
- Staggered Flux State in Two-Dimensional Hubbard Models
- Staggered flux state of electron in two-dimensional t-J model
- Pseudogap, competing order and coexistence of staggered flux and d-wave pairing in high-temperature superconductors
- Absence of broken time reversal symmetry beneath the surface of YBCO films
- Microscopic derivation of Ginzburg-Landau equations for coexistent states of superconductivity and magnetism
- Phase Competition and Anomalous Thermal Evolution in High-Temperature Superconductors
- Short-coherence length superconductivity in the Attractive Hubbard Model in three dimensions
- Ginzburg-Landau Equations for Coexistent States of Superconductivity and Antiferromagnetism in t-J model
- Flux phase as possible time-reversal symmetry breaking surface states of high- cuprate superconductors
- Flux Phase as a Possible Ordered State in t-J Model
- Flux Phase in Bilayer Model: Time-Reversal Symmetry Breaking Surface State without Spontaneous Magnetic Field
- Flux Phase in Bilayer Model