Vortices and charge order in high-T_c superconductors

Abstract

We theoretically investigate the vortex state of the cuprate high-temperature superconductors in the presence of magnetic fields. Assuming the recently derived nonlinear $\sigma$-model for fluctuations in the pseudogap phase, we find that the vortex cores consist of two crossed regions of elliptic shape, in which a static charge order emerges. Charge density wave order manifests itself as satellites to the ordinary Bragg peaks directed along the axes of the reciprocal copper lattice. Quadrupole density wave (bond order) satellites, if seen, are predicted to be along the diagonals. The intensity of the satellites should grow linearly with the magnetic field, in agreement with the result of recent experiments.

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Cited by in corpus (20)

• Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
• Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors
• Checkerboard order in vortex cores from pair-density-wave superconductivity
• Charge orders, magnetism and pairings in the cuprate superconductors
• Charge-fluctuations in lightly hole-doped cuprates: effect of vertex corrections
• Effective SU(2) theory for the pseudogap state
• Dimensional Crossover of Charge-Density Wave Correlations in the Cuprates
• Long-range order and pinning of charge-density waves in competition with superconductivity
• SU(2)-symmetry in a realistic spin-fermion model for cuprate superconductors
• Strong competition between ${\Theta }_{II}$-loop-current order and $d$-wave charge order along the diagonal direction in a two-dimensional hot spot model
• Spin-fermion model with overlapping hot spots and charge modulation in cuprates
• The phase diagram of the underdoped cuprates at high magnetic field
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Pseudo-spin Skyrmions in the Phase Diagram of Cuprate Superconductors
• Topological Defects in Systems with Two Competing Order Parameters: Application to Superconductors with Charge- and Spin-Density Waves
• Incipient loop current order in the under-doped cuprate superconductors
• Overlapping hot spots and charge modulation in cuprates
• Signatures of thermally excited vortices in a superconductor with competing orders