Spins, Stripes, and Superconductivity in Hole-Doped Cuprates

Abstract

One of the major themes in correlated electron physics over the last quarter century has been the problem of high-temperature superconductivity in hole-doped copper-oxide compounds. Fundamental to this problem is the competition between antiferromagnetic spin correlations, a symptom of strong Coulomb interactions, and the kinetic energy of the doped carriers, which favors delocalization. After discussing some of the early challenges in the field, I describe the experimental picture provided by a variety of spectroscopic and transport techniques. Then I turn to the technique of neutron scattering, and discuss how it is used to determine spin correlations, especially in model systems of quantum magnetism. Neutron scattering and complementary techniques have determined the extent to which antiferromagnetic spin correlations survive in the cuprate superconductors. One experimental case involves the ordering of spin and charge stripes. I first consider related measurements on model compounds, such as La(2-x)Sr(x)NiO(4+d), and then discuss the case of La(2-x)Ba(x)CuO(4). In the latter system, recent transport studies have demonstrated that quasi-two-dimensional superconductivity coexists with the stripe order, but with frustrated phase order between the layers. This has led to new concepts for the coexistence of spin order and superconductivity. While the relevance of stripe correlations to high-temperature superconductivity remains a subject of controversy, there is no question that stripes are an intriguing example of electron matter that results from strong correlations.

74 pages, 76 figs; Lecture notes for the Seventeenth Training Course in the Physics of Strongly Correlated Systems, Vietri sul Mare, Italy, October 2011; to be published in AIP Conf. Proc., edited by A. Avella and F. Mancini

Cited by in corpus (44)

• Light-Induced Charge Density Wave in LaTe${}_3$
• Unconventional Superconductivity
• Mimicking cuprates: large orbital polarization in a metallic square-planar nickelate
• Intertwined density waves in a metallic nickelate
• Stacked Charge Stripes in Quasi-Two_Dimensional Trilayer Nickelate La4Ni3O8
• Observation of two types of charge density wave orders in superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Cuprate superconductors as viewed through a striped lens
• Charge ordering in superconducting copper oxides
• Spin stripe order in a square planar trilayer nickelate
• Doping Asymmetry of a 3-orbital CuO${}_2$ Hubbard Model
• Review on quasi-2D square planar nickelates
• Temperature and doping induced instabilities of the repulsive Hubbard model on Lieb lattice
• Materials preparation, single crystal growth, and the phase diagram of the cuprate high temperature superconductor La1.6-xNd0.4SrxCuO4
• Controlling coherence via tuning of the population imbalance in a bipartite optical lattice
• Single domain stripe order in a high-temperature superconductor
• Evidence for a nematic phase in La${}_{1.75}$Sr${}_{0.25}$NiO${}_4$
• Emergence of Quasiparticles in a Doped Mott Insulator
• Superconductivity from charge order in cuprates
• Cooperative coupling of static magnetism and bulk superconductivity in the stripe phase of La_2-xBa_xCuO_4: Pressure- and doping-dependent studies
• Complementary response of static spin-stripe order and superconductivity to non-magnetic impurities in cuprates
• Magnetic orders in the hole doped three-band Hubbard model: spin spirals, nematicity, and ferromagnetic domain walls
• Spin-fermion model with overlapping hot spots and charge modulation in cuprates
• Negative Oxygen Isotope Effect on the Static Spin Stripe Order in La_(2-x)Ba_xCuO_4 (x = 1/8)
• Competition between spin ordering and superconductivity near the pseudogap boundary in La2-xSrxCuO4: insights from NMR
• Stripes in the extended $t-t^{\prime }$ Hubbard model: A Variational Monte Carlo analysis
• Magnetic and charge orders in the ground state of the Emery model -- accurate numerical results
• Electronic character of charge order in square planar low valence nickelates
• Neutron Scattering Studies of Spin-Phonon Hybridization and Superconducting Spin-Gaps in High Temperature Superconductor $L{a}_{2-x}(Sr,Ba{)}_{x}Cu{O}_4$
• Topological Doping and Superconductivity in Cuprates: An Experimental Perspective
• Unravelling the Nature of Spin Excitations Disentangled from Charge Contributions in a Doped Cuprate Superconductor
• Real space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations
• Tendencies of enhanced electronic nematicity in the Hubbard model and a comparison with Raman scattering on high-temperature superconductors
• Non-destructive characterisation of dopant spatial distribution in cuprate superconductors
• Charge and current orders in the spin-fermion model with overlapping hot spots
• Tuning of Charge Order by Uniaxial Stress in a Cuprate Superconductor
• Overlapping hot spots and charge modulation in cuprates
• Self-Organized Bosonic Domain Walls
• Oxygen Isotope Effects on Lattice Properties of La_{2-x}Ba_xCuO_4 (x = 1/8)
• Tilted stripes origin in ${\mathrm{La}}_{1.88}{\mathrm{Sr}}_{0.12}{\mathrm{CuO}}_4$ revealed by anisotropic next-nearest neighbor hopping
• Quantum colored strings in the hole-doped $t$-$J_z$ model
• Spinon Singlet Pairing: Origin of $d$-Wave Sign Structure in a Partially-Filled Stripe
• Observation of Subharmonic Charge-Density-Wave Correlations in La-Based Cuprates
• Itinerant electrons on dilute frustrated Ising lattices
• Variational Monte Carlo study of stripes as a function of doping in the $t-t^{\prime }$ Hubbard model