Loop current order and d-wave superconductivity: some observable consequences

Abstract

Loop current order has been reported in the pseudogap regime of a few cuprate systems in polarized neutron scattering experiments. Here we study several observable consequences of such order in the d-wave superconducting state at low T. The symmetries of the loop order removes degeneracy between momenta k and -k. Consequently there is a remnant Bogoliubov Fermi surface in the superconducting state. Bounds on the possible existence of such a Fermi surface may be placed from existing data. Detecting such a Fermi surface will be a very useful confirmation of the existence of loop order in various cuprates. We show through explicit calculations that the Bogoliubov Fermi surface does not display quantum oscillations in a magnetic field consistent with natural expectations. Inclusion of a field induced spin stripe order reconstructs the Bogoliubov Fermi surface to develop pockets which then show quantum oscillations in the superconducting state. Difficulties with interpreting quantum oscillation data in the cuprates along these lines are pointed out.

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Cited by in corpus (9)

• Pair density wave, charge density wave and vortex in high Tc cuprates
• Mechanism of Superconductivity in the Hubbard Model at Intermediate Interaction Strength
• Charge orders, magnetism and pairings in the cuprate superconductors
• Numerical exploration of spontaneous broken symmetries in multi-orbital Hubbard models
• Quantum oscillations of the specific heat in d-wave superconductors with loop current order
• Kramers' degenerate magnetism and superconductivity
• Quasiparticle Density of States, Localization, and Distributed Disorder in the Cuprate Superconductors
• Quantum oscillations from a pair-density wave
• Unconventional non-Fermi liquid state caused by nematic criticality in cuprates