Vestigial nematicity from spin and/or charge order in the cuprates

Abstract

Nematic order has manifested itself in a variety of materials in the cuprate family. We propose an effective field theory of a layered system with incommensurate, intertwined spin- and charge-density wave (SDW and CDW) orders, each of which consists of two components related by $C_4$ rotations. Using a variational method (which is exact in a large $N$ limit), we study the development of nematicity from partially melting those density waves by either increasing temperature or adding quenched disorder. As temperature decreases we first find a transition to a nematic phase, but depending on the range of parameters (e.g. doping concentration) the strongest fluctuations associated with this phase reflect either proximate SDW or CDW order. We also discuss the changes in parameters that can account for the differences in the SDW-CDW interplay between the (214) family and the other hole-doped cuprates.

11 pages, 3 figures. Removed some repeated references

References in corpus (20)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Theory of Intertwined Orders in High Temperature Superconductors
• Theory of Electron Nematic Order in LaOFeAs
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Ising and Spin orders in Iron-based Superconductors
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
• Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La(1.875)Ba(0.125)CuO(4)
• Resonant X-ray Scattering Study of Charge Density Wave Correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Competing charge, spin, and superconducting orders in underdoped YBa2Cu3Oy
• A global inversion-symmetry-broken phase inside the pseudogap region of YBa${}_2$Cu${}_3$O${}_y$
• Distinguishing Patterns of Charge Order: Stripes or Checkerboards
• Ideal charge density wave order in the high-field state of superconducting YBCO
• Inhomogeneous Magnetic-Field Response of YBa2Cu3Oy and La2-xSrxCuO4 Persisting above the Bulk Superconducting Transition Temperature
• Signatures of nematic quantum critical fluctuations in the Raman spectra of lightly doped cuprates

Cited by in corpus (27)

• Intertwined vestigial order in quantum materials: nematicity and beyond
• Pseudogap temperature $T^{\star }$ of cuprate superconductors from the Nernst effect
• Observation of two types of charge density wave orders in superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• High-temperature charge density wave correlations in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$ without spin-charge locking
• Evidence for a Vestigial Nematic State in the Cuprate Pseudogap Phase
• $Z_3$-vestigial nematic order due to superconducting fluctuations in the doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$ and Cu${}_x$Bi${}_2$Se${}_3$
• Formation of Incommensurate Charge Density Waves in Cuprates
• Symmetric and antisymmetric strain as continuous tuning parameters for electronic nematic order
• Generic character of charge and spin density waves in superconducting cuprates
• Locally commensurate charge-density wave with three-unit-cell periodicity in YBCO
• Evidence for realignment of the charge density wave state in ErTe${}_3$ and TmTe${}_3$ under uniaxial stress via elastocaloric and elastoresistivity measurements
• Fragile superconductivity in the presence of weakly disordered charge density waves
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• Prevailing charge order in overdoped cuprates beyond the superconducting dome
• Coincident onset of charge density wave order at a quantum critical point in underdoped YBCO
• Enhanced nematic fluctuations near an antiferromagnetic Mott insulator and possible application to high-$T_c$ cuprates
• A Striped Electron Fluid on (111) KTaO${}_3$
• Charge, bond, and pair density wave orders in a strongly correlated system
• Smeared nematic quantum phase transitions due to rare-region effects in inhomogeneous systems
• A framework for the description of charge order, pseudo and superconducting gap, critical temperature and pairing interaction in cuprate superconductors
• Random-strain-induced correlations in materials with intertwined nematic and magnetic orders
• Nematic order driven by superconducting correlations
• Nematic phases and elastoresistivity from a multiorbital non-Fermi liquid
• Magnetic Field Tuning of Parallel Spin Stripe Order and Fluctuations near the Pseudogap Quantum Critical Point in La${}_{1.36}$Nd${}_{0.4}$Sr${}_{0.24}$CuO${}_4$
• Landau-Ginzburg theory of charge density wave formation accompanying lattice and electronic long-range ordering
• Nematic single-component superconductivity and loop-current order from pair-density wave instability
• Why the superfluid density tracks $T_{\mathrm{c}}$ in cuprate superconductors?