Quantum oscillations in a d-wave vortex liquid

Abstract

The observation of quantum oscillations in underdoped cuprates has generated intense debate about the nature of the field-induced resistive state and its implications for the `normal state' of high T_c superconductors. Quantum oscillations suggest an underlying Fermi liquid state at high magnetic fields H and low temperatures, in contrast with the high-temperature, zero-field pseudogap state seen in spectroscopy. Recent heat capacity measurements show quantum oscillations together with a large and singular field-dependent suppression of the electronic density of states (DOS), which suggests a resistive state that is affected by the d-wave superconducting gap. We present a theoretical analysis of the electronic excitations in a vortex-liquid state, with short range pairing correlations in space and time, that is able to reconcile these seemingly contradictory observations. We show that phase fluctuations lead to large suppression of the DOS that goes like $\sqrt{H}$ at low fields, in addition to quantum oscillations with a period determined by a Fermi surface reconstructed by a competing order parameter.

9 pages, 3 figures

References in corpus (9)

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• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• Antiphase Stripe Order as the Origin of Electron Pockets Observed in 1/8-Hole-Doped Cuprates
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Cited by in corpus (15)

• Universal quantum oscillations in the underdoped cuprate superconductors
• Angular fluctuations of a multi-component order describe the pseudogap regime of the cuprate superconductors
• Quantum Oscillations in Hole-Doped Cuprates
• Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates
• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Quantum oscillations in a biaxial pair density wave state
• The enigma of the pseudogap phase of the cuprate superconductors
• Quantum oscillations and Dirac-Landau levels in Weyl superconductors
• Unconventional quantum vortex matter state hosts quantum oscillations in the underdoped high-temperature cuprate superconductors
• Magnetization of underdoped YBa${}_2$Cu${}_3$O${}_y$ above the irreversibility field
• Berry Phase in Cuprate Superconductors
• Theory of Fluctuating Charge Ordering in the Pseudogap Phase of the Cuprates Via A Preformed Pair Approach
• Quantum oscillations from a pair-density wave
• Onsager rule, quantum oscillation frequencies, and the density of states in the mixed-vortex state of cuprates
• Quantum oscillations in non-Fermi liquids: Implications for high-temperature superconductors