Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates

Abstract

We analyze incommensurate charge-density-wave (CDW) and pair-density-wave (PDW) orders with transferred momenta $(\pm Q,0)$/$(0,\pm Q)$ in underdoped cuprates within the spin-fermion model. Both orders appear due to exchange of spin fluctuations before magnetic order develops.We argue that the ordered state with the lowest energy has non-zero CDW and PDW components with the same momentum. Such a state breaks $C_4$ lattice rotational symmetry, time-reversal symmetry, and mirror symmetries. We argue that the feedback from CDW/PDW order on fermionic dispersion is consistent with ARPES data. We discuss the interplay between the CDW/PDW order and $d_{x^2-y^2}$ superconductivity and make specific predictions for experiments.

17 pages, 8 figures including supplementary material; replaced with published version

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Cited by in corpus (13)

• Visualizing the periodic modulation of Cooper pairing in a severely underdoped cuprate
• Effective SU(2) theory for the pseudogap state
• Evolution of Charge and Pair Density Modulations in Overdoped Bi2Sr2CuO6+delta
• Quasi One Dimensional Pair Density Wave Superconducting State
• Multiple Charge Density Wave States at the Surface of TbTe${}_3$
• Interplay Between $d$-wave Superconductivity and a Bond Density Wave in the one-band Hubbard model
• Directly visualizing nematic superconductivity driven by the pair density wave in NbSe${}_2$
• Density Waves Cause Sub-Gap Structures but no Pseudogap in Superconducting Cuprates
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Superconducting correlations induced by charge ordering in cuprate superconductors and Fermi arc formation
• Calculation of the magnetotransport for a spin-density-wave quantum critical theory in the presence of weak disorder
• Atomic-Scale Visualization of the Cuprate Pair Density Wave State
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity