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.

arXiv commentRevtex 4, 7 pages, 4 figures, references added

References in corpus (21)

• How to detect fluctuating order in the high-temperature superconductors
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• Quantum Theory of a Nematic Fermi Fluid
• Electrical Resistivity Anisotropy from Self-Organized One-Dimensionality in High-Temperature Superconductors
• Strongly Anisotropic Transport in Higher Two-Dimensional Landau Levels
• Periodic Density of States Modulations in Superconducting $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$
• Two-Dimensional Geometry of Spin Excitations in the High Temperature Superconductor YBa2Cu3O6+x
• One-dimensional nature of the magnetic fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Slave Boson Approach to The Neutron Scattering in YBCO Superconductors
• Superconducting Gap and Strong In-Plane Anisotropy in Untwinned YBa2Cu3O7-d
• Dynamic Stripes and Resonance in the Superconducting and Normal Phases of YBa2Cu3O6.5 Ortho-II Superconductor
• The Relation of Neutron Incommensurability to Electronic Structure in High Temperature Superconductors
• Formation of Electronic Nematic Phase in Interacting Systems
• Signatures of Electronic Nematic Phase at Isotropic-Nematic Phase Transition
• The Onset of Anisotropic Transport of Two-Dimensional Electrons in High Landau Levels: An Isotropic-to-Nematic Liquid Crystal Phase Transition?
• Frequency Evolution of Neutron Peaks Below Tc: Commensurate and Incommensurate Structure in LaSrCuO and YBaCuO
• Excitation spectrum of d-wave Fermi surface deformation
• Fermi-liquid based theory for the in-plane magnetic anisotropy in untwinned high-T${}_c$ superconductors

Cited by in corpus (22)

• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Novel magnetic order in pseudogap state of high Tc copper oxides superconductors
• Magnetic excitations and their anisotropy in YBCO: slave-boson mean-field analysis of bilayer t-J model
• Fermi-surface reconstruction in a smectic phase of a high temperature superconductor
• Spontaneous breaking of the Fermi surface symmetry in the t-J model: a numerical study
• Meta-nematic transitions in a bilayer system: Application to the bilayer ruthenate
• Theory of reduced singlet pairing without the underlying state of charge stripes in the high-temperature superconductor YBa_2Cu_3O_6.45
• Nematicity in the pseudogap state of cuprate superconductors revealed by angle-resolved photoemission spectroscopy
• Spin-charge interplay in electronic liquid crystals: fluctuating spin stripe driven by charge nematic
• Resonant Inelastic X-Ray Scattering as a Probe of the Phase and Excitations of the Order Parameter of Superconductors
• Magnetic field resonantly enhanced free spins in underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• 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${}_{6+\delta }$
• Interplay between parallel and diagonal electronic nematic phases in interacting systems
• Theory of non-Fermi liquid near a diagonal electronic nematic state on a square lattice
• Nematicity as a route to a magnetic field-induced spin density wave order; application to the high temperature cuprates
• On the Origin of the Checkerboard Pattern in Scanning Tunneling Microscopy Maps of Underdoped Cuprate Superconductors
• 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
• Role of electronic nematicity in the interplay between s- and d-wave broken-symmetry states
• 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