Strain-induced inter-vortex interaction and vortex lattices in tetragonal superconductors

Abstract

In superconductors with strong coupling between superconductivity and elasticity manifested in a strong dependence of transition temperature on pressure, there is an additional contribution to inter-vortex interactions due to the strain field generated by vortices. When vortex lines are along the $c$ axis of a tetragonal crystal, a square vortex lattice (VL) is favored at low vortex densities, because the vortex-induced strains contribution to the inter-vortex interactions is long range. At intermediate magnetic fields, the triangular lattice is stabilized. The triangular lattice evolves to the square lattice upon increasing magnetic field, and eventually the system locks to the square structure. We argue, however, that as $B$ approaches $H_{c2}$ the elastic inter-vortex interactions disappear faster than the standard London interactions, so that VL should return to the triangular structure. Our results are compared to VLs observed in the heavy fermion superconductor $\mathrm{CeCoI}{\mathrm{n}}_5$.

6 pages and 3 figures

References in corpus (14)

• Generalized London free energy for high-$T_c$ vortex lattices
• Morphology of the Superconducting Vortex Lattice in Ultra-Pure Niobium
• Hydrostatic-pressure tuning of magnetic, nonmagnetic and superconducting states in annealed Ca(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• High pressure phase diagrams of CeRhIn${}_5$ and CeCoIn${}_5$ studied by ac calorimetry
• Dissociation Transition of a Composite Lattice of Magnetic Vortices in the Flux-Flow Regime of Two-Band Superconductors
• Observations of Pauli Paramagnetic Effects on the Flux Line Lattice in CeCoIn5
• Effect of fluctuations on vortex lattice structural transitions in superconductors
• Instability of square vortex lattice in d-wave superconductors is due to paramagnetic depairing
• Elasticity-driven interaction between vortices in type-II superconductors
• Vortex Lattice Structural Transitions: a Ginzburg-Landau Model Approach
• Vortex-induced strain and magnetization in type-II superconductors
• Vortex lattice studies in CeCoIn5 with H perpendicular to c
• Vortex Dynamics in Ferromagnetic Superconductors: Vortex Clusters, Domain Walls and Enhanced Viscosity
• Elastic contribution to interaction of vortices in uniaxial superconductors

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• Anti-hyperuniform diluted vortex matter induced by correlated disorder
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