Square vortex lattices for two component superconducting order parameters

Abstract

I investigate the vortex lattice structure of the Ginzburg Landau free energy for a two component order parameter in the weak-coupling clean-limit when the field is along the high symmetry axis in a tetragonal crystal. It is shown that the vortex lattice phase diagram as a function of the Ginzburg Landau free energy parameters includes phases with a hexagonal, centered rectangular, rectangular, and square unit cells. It is also shown that the square vortex lattice has the largest region of stability. The field distribution of the square vortex lattice near $H_{c2}$ is determined and the application of this model to Sr${}_2$RuO${}_4$ is discussed.

8 pages, 5 figures

References in corpus (5)

• Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4
• Ferromagnetic spin fluctuation induced superconductivity in Sr_2RuO_4
• Orbital dependent superconductivity in Sr_2RuO_4
• Vortex lattice structures of Sr${}_2$RuO${}_4$
• Vortex lattice structure in a d_{x^2-y^2}-wave superconductor

Cited by in corpus (29)

• Ginzburg-Landau Theory for a p-Wave Sr_2RuO_4 Superconductor: Vortex Core Structure and Extended London Theory
• Muon spin rotation studies of electronic excitations and magnetism in the vortex cores of superconductors
• A reconstruction from small-angle neutron scattering measurements of the real space magnetic field distribution in the mixed state of Sr${}_2$RuO${}_4$
• Skyrmionic state and stable half-quantum vortices in chiral p-wave superconductors
• Observation of vortex coalescence in the anisotropic spin-triplet superconductor Sr${}_2$RuO${}_4$
• Properties of skyrmions and multi-quanta vortices in chiral $p$-wave superconductors
• Half-quantum vortex and d-soliton in Sr${}_2$RuO${}_4$
• Tight-binding Hamiltonians for Sr filled ruthenates: application to the gap anisotropy and Hall coefficient in Sr2RuO4
• Field-induced quasiparticle excitations in novel type II superconductors
• Magnetization process in a chiral p-wave superconductor with multi-domains
• Influence of the domain walls on the Josephson effect in Sr${}_2$RuO${}_4$
• Skyrmions induced by dissipationless drag in U(1)xU(1) superconductors
• Vortex states of the E_{u} model for Sr_{2}RuO_{4}
• Fractional vortex lattice structures in spin triplet superconductors
• Spontaneous surface flux pattern in chiral p-wave superconductors - revisited
• Lattices of double-quanta vortices and chirality inversion in $p_x+i{p}_y$ superconductors
• Spin-Triplet Pairing State of Sr2RuO4 in the c-Axis Magnetic Field
• Spin-orbit Coupling and Multiple Phases in Spin-triplet Superconductor Sr${}_2$RuO${}_4$
• Analysis of impurity-induced circular currents for the chiral superconductor Sr_{2}RuO_{4}
• In-plane upper critical field anisotropy in Sr2RuO4 and CeIrIn5
• Nucleation of domain walls by $Z_2$ symmetry breaking transition in $p_x+i{p}_y$ superconductors
• Conventional Superconductivity in the Doped Kagome Superconductor Cs(V0.86Ta0.14)3Sb5 from Vortex Lattice Studies
• Derivation of a Ginzburg-Landau free energy density containing mixed gradient terms of a $p+ip$ superconductor with spin-orbit coupling
• Half-quantum vortices on c-axis domain walls in chiral p-wave superconductors
• First order superconducting phase transition in chiral $p+ip$ system
• Chiral superconductivity in nematic states
• Effects of magnetic and non-magnetic doping on the vortex lattice in MgB${}_2$
• Thermal fluctuations and vortex lattice structures in chiral $p$-wave superconductors: robustness of double-quanta vortices
• Distorted vortex lattice in a tetrahedral superconductor