Topological Doping and Superconductivity in Cuprates: An Experimental Perspective

Abstract

Hole doping into a correlated antiferromagnet leads to topological stripe correlations, involving charge stripes that separate antiferromagnetic spin stripes of opposite phase. Topological spin stripe order causes the spin degrees of freedom within the charge stripes to feel a geometric frustration with their environment. In the case of cuprates, where the charge stripes have the character of a hole-doped two-leg spin ladder, with corresponding pairing correlations. Anti-phase Josephson coupling across the spin stripes can lead to pair-density-wave order, in which broken translation symmetry of the superconducting wave function is accommodated by pairs with finite momentum. This scenario has now been experimentally verified by recently reported measurements on La${}_{2-x}$Ba${}_x$CuO${}_4$ with $x=1/8$. While pair-density-wave order is not common as a cuprate ground state, it provides a basis for understanding the uniform $d$-wave order that is more typical in superconducting cuprates.

10 pp., 4 figs; invited paper for special issue on Topological Objects in Correlated Electronic Systems; published version at link below is open access

References in corpus (24)

• Theory of Intertwined Orders in High Temperature 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${}_{6+x}$
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• The Ground State of the Pseudogap in Cuprate Superconductors
• Spin correlations in the electron-doped high-transition-temperature superconductor Nd{2-x}Ce{x}CuO{4+/-delta}
• Competing charge, spin, and superconducting orders in underdoped YBa2Cu3Oy
• Evidence for unusual superconducting correlations coexisting with stripe order in La(1.875)Ba(0.125)CuO(4)
• Magnetic neutron scattering in hole doped cuprate superconductors
• Visualizing the Energy-gap Modulations of the Cuprate Pair Density Wave State
• Testing the itinerancy of spin dynamics in superconducting Bi2212
• Electron pairing in the pseudogap state revealed by shot noise in copper-oxide junctions
• Charge ordering in superconducting copper oxides
• The Optimal Inhomogeneity for Superconductivity: Finite Size Studies
• Spin-stripe density varies linearly with hole content in single-layer Bi2201 cuprate
• New insights into the phase diagram of the copper oxide superconductors from electronic Raman scattering
• High-energy magnetic excitations from dynamic stripes in LBCO (x=1/8)
• Two-dimensional ground-state mapping of a Mott-Hubbard system in a flexible field-effect device
• Evolution of superconducting correlations within magnetic-field-decoupled CuO(2) layers of La(1.905)Ba(0.095)CuO(4)
• High resolution X-ray scattering studies of structural phase transitions in underdoped La${}_{2-x}$Ba${}_x$CuO${}_4$
• Ubiquitous Charge Order Correlations in High-Temperature Superconducting Cuprates
• Superconductivity from charge order in cuprates
• How magnetic field can transform a superconductor into a Bose metal