Two Dimensional Incommensurate and Three Dimensional Commensurate Magnetic Order and Fluctuations in $L{a}_{2-x}B{a}_{x}Cu{O}_4$

Abstract

We present neutron scattering measurements on single crystals of lightly doped $L{a}_{2-x}B{a}_{x}Cu{O}_4$, with $0\le x\le ?0.035$. These reveal the evolution of the magnetism in this prototypical doped Mott insulator from a three dimensional (3D) commensurate (C) antiferromagnetic ground state, which orders at a relatively high TN, to a two dimensional (2D) incommensurate (IC) ground state with finite ranged static correlations, which appear below a relatively low effective TN. At low temperatures, the 2D IC magnetism co-exists with the 3D C magnetism for doping concentrations as low as ? 0.0125. We find no signal of a 3D C magnetic ground state by x $\sim$? 0.025, consistent with the upper limit of x $\sim$? 0.02 observed in the sister family of doped Mott insulators, $L{a}_{2-x}S{r}_{x}Cu{O}_4$. The 2D IC ground states observed for $0.0125\le x\le 0.035$ are diagonal, and are rotated by 45 degrees within the orthorhombic basal plane compared with those previously reported for samples with superconducting ground states: $L{a}_{2-x}B{a}_{x}Cu{O}_4$, with $0.05 \leq? x \leq? 0.095. We construct a phase diagram based solely on magnetic order parameter measurements, which displays much of the complexity of standard high temperature superconductivity phase diagrams discussed in the literature. Analysis of high energy-resolution inelastic neutron scattering at moderately low temperatures shows a progressive depletion of the very low energy dynamic magnetic susceptibility as x increases from 0.0125 to 0.035. This low energy, dynamic susceptibility falls off? with increasing temperature on a scale much higher than the effective 2D IC TN appropriate to these materials. Appreciable dynamic 2D IC magnetic fluctuations inhabit much of the "pseudogap" regime of the phase diagram.

12 pages, 10 figures

References in corpus (11)

• Progress in Neutron Scattering Studies of Spin Excitations in High-Tc Cuprates
• Two energy scales in the spin excitations of the high-T_c superconductor La${}_{2-x}$Sr${}_x$CuO${}_4$
• Magnetic neutron scattering in hole doped cuprate superconductors
• The Persistence of High-Frequency Spin Fluctuations in Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ ($x$=0.22)
• Crystal structure and high-field magnetism of La2CuO4
• The emergence of coherent magnetic excitations in the pseudogap phase of La2-xSrxCuO4
• Magnetic Excitations of the Diagonal Incommensurate Phase in Lightly-Doped La2-xSrxCuO4
• Spin-stripe density varies linearly with hole content in single-layer Bi2201 cuprate
• Incommensurate Spin Ordering and Fluctuations in underdoped La_{2-x}Ba_{x}CuO_{4}
• Diagonal and Collinear Incommensurate Spin Structures in underdoped La${}_{2-x}$Ba${}_x$CuO${}_4$
• High resolution X-ray scattering studies of structural phase transitions in underdoped La${}_{2-x}$Ba${}_x$CuO${}_4$

Cited by in corpus (7)

• Parallel Spin Stripes and Their Coexistance with Superconducting Ground States at Optimal and High Doping in La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$
• Heavily Hydride-ion-doped 1111-type Iron-based Superconductors: Synthesis, Physical Properties and Electronic Structure
• Commensurate and incommensurate magnetic order in the doped two-dimensional Hubbard model: dynamical mean-field theory analysis
• Neutron Scattering Studies of Spin-Phonon Hybridization and Superconducting Spin-Gaps in High Temperature Superconductor $L{a}_{2-x}(Sr,Ba{)}_{x}Cu{O}_4$
• Antiferromagnetic and spin spiral correlations in the doped two-dimensional Hubbard model: gauge symmetry, Ward identities, and dynamical mean-field theory analysis
• Opening a nodal gap by fluctuating spin-density-wave in lightly doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Frequency dependence of temporal spin stiffness and short-range magnetic order in the doped two-dimensional Hubbard model