Quantum Oscillations in a $π$-Striped Superconductor

Details Quantum Oscillations in a $π$-Striped Superconductor Quantum Oscillations in a $π$-Striped Superconductor

2012-01-09

arxiv.org/abs/1201.1920v2

Physics

Condensed Matter

Superconductivity

16 pages and 31 figures. A new section, Critique of the Semiclassical Approximation, has been added

Scientific paper

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. 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 large pairing interaction 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.

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