Quantum Oscillations in a $\pi$-Striped Superconductor

Abstract

Within Bogoliubov-de Gennes theory, a semiclassical approximation is used to study quantum oscillations and to determine the Fermi surface area associated with these oscillations in a model of a $\pi$-striped superconductor, where the d-wave superconducting order parameter oscillates spatially with period 8 and zero average value. This system has a non-zero density of particle-hole states at the Fermi energy, which form Landau-like levels in the presence of a magnetic field, B. The Fermi surface is reconstructed via Andreev-Bragg scattering, and the semiclassical motion is along these Fermi surface sections as well as between them via magnetic breakdown. Within the approximation, oscillations periodic in 1/B are found in both the positions and widths of the lowest Landau levels. The area corresponding to these quantum oscillations for intermediate pairing interaction strength is similar to that reported for experimental measurements in the cuprates. A comparison is made of this theory to data for quantum oscillations in the specific heat measured by Riggs et al.

18 pages and 34 figures

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Cited by in corpus (18)

• Theory of Intertwined Orders in High Temperature Superconductors
• The Physics of Pair Density Waves
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
• Pair density wave, charge density wave and vortex in high Tc cuprates
• Pair Density Waves in Superconducting Vortex Halos
• Checkerboard order in vortex cores from pair-density-wave superconductivity
• Quantum oscillations in a biaxial pair density wave state
• Effective model for a supercurrent in a pair-density wave
• Two-dimensional superconducting fluctuations associated with charge density wave stripes in La${}_{1.87}$Sr${}_{0.13}$Cu${}_{0.99}$Fe${}_{0.01}$O${}_4$
• Quasi One Dimensional Pair Density Wave Superconducting State
• Scattering Interference Signature of a Pair Density Wave State in the Cuprate Pseudogap Phase
• Unconventional quantum vortex matter state hosts quantum oscillations in the underdoped high-temperature cuprate superconductors
• Translational-invariant bipolarons and superconductivity
• Quantum oscillations from a pair-density wave
• Logarithmic Upturn in Low-Temperature Electronic Transport as a Signature of d-Wave Order in Cuprate Superconductors
• Observation of Subharmonic Charge-Density-Wave Correlations in La-Based Cuprates
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity