Quantum skyrmions and the destruction of long-range antiferromagnetic order in the high-Tc superconductors La(2-x)Sr(x)CuO(4) and YBa(2)Cu(3)O(6+x)

Abstract

We study the destruction of the antiferromagnetic order in the high-Tc superconductors La(2-x)Sr(x)CuO(4) and YBa(2)Cu(3)O(6+x) in the framework of the CP1-nonlinear sigma model formulation of the 2D quantum Heisenberg antiferromagnet. The dopants are introduced as independent fermions with appropriate dispersion relations determined by the shape of the Fermi surface. The energy of skyrmion topological defects, which are shown to be introduced by doping, is used as an order parameter for antiferromagnetic order. We obtain analytic expressions for this as a function of doping which allow us to plot the curves T_N(x_c)\times x_c and M(x)\times x, for both YBCO and LSCO, in good quantitative agreement with the experimental data.

4 pages, revtex, 5 embeeded figures

References in corpus (2)

• Doping dependence of the Neel temperature in Mott-Hubbard antiferromagnets: Effect of vortices
• Quantized Skyrmion Fields in 2+1 Dimensions

Cited by in corpus (14)

• Collapse of Skyrmions in 2d Ferro- and Antiferromagnets
• Pions versus Magnons: From QCD to Antiferromagnets and Quantum Hall Ferromagnets
• Phase Structure and Universality in Two-Dimensional Disordered Quantum Antiferromagnets
• Superconducting and Pseudogap Transition Temperatures in High-Tc Cuprates and the $T_c$ Dependence on Pressure
• Symmetry Analysis of Holes Localized on a Skyrmion in a Doped Antiferromagnet
• Effects of Superconductivity and Charge Order on the sub-Terahertz reflectivity of La${}_{1.875}$Ba${}_{0.125-y}$Sr${}_y$CuO${}_4$
• Charge pairing, superconducting transition and supersymmetry in high-temperature cuprate superconductors
• Topological structures in unconventional scenario for 2D cuprates
• High $T_c$ Superconductivity, Skyrmions and the Berry Phase
• Bond-disordered spin systems: Theory and application to doped high-Tc compounds
• Holes Localized on a Skyrmion in a Doped Antiferromagnet on the Honeycomb Lattice: Symmetry Analysis
• Temperature vs. doping phase diagram of cuprate superconductors
• Antiferromagnetic phase diagram of the cuprate superconductors
• Topological doping of repulsive Hubbard models