Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors

Abstract

We address the timely issue of the presence of charge ordering at the hot-spots in the pseudo-gap phase of cuprate superconductors in the context of an emergent SU(2)-symmetry which relates the charge and pairing sectors. Performing the Hubbard-Stratonovich decoupling such that the free energy stays always real and physically meaningful we exhibit three solutions of the spin-fermion model at the hot spots. A careful examination of their stability and free energy shows that, at low temperature, the system tends towards a co-existence of charge density wave (CDW) and the composite order parameter made of diagonal quadrupolar density wave and pairing fluctuations of Ref. [Nat. Phys. $9$, 1745 (2013)].The CDW is sensitive to the shape of the Fermi surface in contrast to the diagonal quadrupolar order, which is immune to it. SU(2) symmetry within the pseudo-gap phase also applies to the CDW state, which therefore admits a pairing density pave counterpart breaking time reversal symmetry.

15 pages, 15 figures, final version + typo corrected in Eq. (12)

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Cited by in corpus (12)

• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Visualizing the periodic modulation of Cooper pairing in a severely underdoped cuprate
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Charge ordering in superconducting copper oxides
• Effective SU(2) theory for the pseudogap state
• SU(2)-symmetry in a realistic spin-fermion model for cuprate superconductors
• Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis
• Superconducting correlations induced by charge ordering in cuprate superconductors and Fermi arc formation
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Phase transition into Instanton Crystal
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity