Anisotropic spin and charge excitations in superconductors: signature of electronic nematic order

Abstract

We study spin and charge susceptibilities in the d-wave superconducting state whose underlying electronic dispersion is anisotropic due to the formation of the electronic nematic order. We show that the amplitude of the incommensurate peaks in the spin susceptibility near (π,π) reveals a pronounced anisotropy in the momentum space. The relevance of our findings to the magnetic scattering pattern observed in a recent neutron scattering measurement on untwinned YBa_2Cu_3O_{6+x} is discussed. In the charge channel, we identify a well-defined collective mode at small momentum transfer with strong anisotropic amplitude depending on the direction of momentum transfer, which is associated with the broken symmetry due to nematic ordering.

Revtex 4, 7 pages, 4 figures, references added

References in corpus (1)

• Formation of Electronic Nematic Phase in Interacting Systems

Cited by in corpus (12)

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• Theory of reduced singlet pairing without the underlying state of charge stripes in the high-temperature superconductor YBa_2Cu_3O_6.45
• Intimate relations between electronic nematic, d-density wave and d-wave superconducting states
• Anisotropy of incommensurate spin and charge fluctuations in detwinned YBa${}_2$Cu${}_3$O${}_{6+\delta }$
• Theory of non-Fermi liquid near a diagonal electronic nematic state on a square lattice
• Phenomenological theory of spin excitations in La- and Y-based cuprates
• Characteristic energy of the nematic-order state and its connection to enhancement of superconductivity in cuprate superconductors
• Difficulty in the Fermi-Liquid-Based Theory for the In-Plane Magnetic Anisotropy in Untwinned High-T_c Superconductor
• Electromagnetic response of cuprate superconductors with coexisting electronic nematicity