Competing order, Fermi surface reconstruction, and quantum oscillations in underdoped high temperature superconductors

Abstract

We consider incommensurate $d$-density wave order in underdoped high temperature superconductors. We find that Fermi surface reconstruction can correctly capture the phenomenology of the recent quantum oscillation experiments that suggest incommensurate order. The predicted frequencies are a frequency around 530 T arising from the electron pocket, a hole frequency at around 1650 T, and a new low frequency from a smaller hole pocket at 250 T for which there are some indications that require further investigation. The oscillation corresponding to the electron pocket will be further split due to bilayer coupling but the splitting is sufficiently small to require more refined measurements. The truly incommensurate $d$-density wave breaks both time reversal and inversion but the product of these two symmetry operations is preserved. There is some similarity of our results with the spiral spin density wave order, which, as pointed out by Overhauser, also breaks time reversal and inversion. Calculations corresponding to higher order commensuration produces results similar to anti-phase spin stripes, but appear to us to be an unlikely explanation of the experiments. The analysis of the Gorkov equation in the mixed state shows that the oscillation frequencies are unshifted from the putative normal state and the additional Dingle factor arising from the presence of the mixed state can provide a subtle distinction between the spiral spin density wave and the $d$-density wave.

16 pages and 8 figures

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• Fermi Surface Evolution in an Electron-Doped High-Tc Superconductor Revealed by Magnetic Quantum Oscillations
• Loss of nodal quasiparticle integrity in underdoped YBa2Cu3O6+x
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• Magnetic quantum oscillations in YBa${}_2$Cu${}_3$O${}_{6.61}$ and YBa${}_2$Cu${}_3$O${}_{6.69}$ in fields of up to 85 T; patching the hole in the roof of the superconducting dome
• Hartree-Fock Computation of the High-Tc Cuprate Phase Diagram
• Compensated electron and hole pockets in an underdoped high Tc superconductor
• Quasiparticle Nernst effect in stripe-ordered cuprates
• Spin-order driven Fermi surface revealed by quantum oscillations in an underdoped high Tc superconductor
• Fermi Surface of the Electron-doped Cuprate Superconductor Nd_{2-x}Ce_xCuO_{4} Probed by High-Field Magnetotransport
• Nernst effect in the electron-doped cuprates
• Resolution of two apparent paradoxes concerning quantum oscillations in underdoped high-$T_c$ superconductors
• Ground state phase diagram of the repulsive fermionic $t-t^{\prime }$ Hubbard model on the square lattice from weak-coupling
• Multiple quantum oscillation frequencies in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$ and bilayer splitting
• Quantum oscillations in underdoped YBa_2Cu_3O_6.5
• Reconsidering the interpretation of quantum oscillation experiments on underdoped YBa(2)Cu(3)O(6+x)
• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
• Instability towards Staggered Loop Currents in the Three-Orbital Model for Cuprate Superconductors
• Quantum oscillations in electron doped high temperature superconductors
• Numerical Studies of Quantum Oscillations in the Superconducting vortex mixed state
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• Quantum oscillations in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$ from an incommensurate $d$-density wave order
• Visualizing electron pockets in cuprate superconductors
• Magnetic breakdown in ortho-II high-temperature cuprates
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• Determining the in-plane Fermi surface topology in underdoped high Tc superconductors using angle-dependent magnetic quantum oscillations
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