Half-Skyrmion theory for high-temperature superconductivity

Abstract

We review the half-Skyrmion theory for copper-oxide high-temperature superconductivity. In the theory, doped holes create a half-Skyrmion spin texture which is characterized by a topological charge. The formation of the half-Skyrmion is described in the single hole doped system, and then the half-Skyrmion excitation spectrum is compared with the angle-resolved photoemission spectroscopy results in the undoped system. Multi-half-Skyrmion configurations are studied by numerical simulations. We show that half-Skyrmions carry non-vanishing topological charge density below a critical hole doping concentration \sim 30% even in the absence of antiferromagnetic long-range order. The magnetic structure factor exhibits incommensurate peaks in stripe ordered configurations of half-Skyrmions and anti-half-Skyrmions. The interaction mediated by half-Skyrmions leads to d_{x^2-y^2}-wave superconductivity. We also describe pseudogap behavior arising from the excitation spectrum of a composite particle of a half-Skyrmion and doped hole.

To appear in "The Multifaceted Skyrmion" (World Scientific) ed. G.E. Brown and M. Rho; 21 pages, 7 figures

References in corpus (5)

• Modeling the Fermi arc in underdoped cuprates
• Cuprate Fermi orbits and Fermi arcs: the effect of short-range antiferromagnetic order
• Half-skyrmion picture of single hole doped CuO_2 plane
• Strong coupling analysis of QED${}_3$ for excitation spectrum broadening in undoped high-temperature superconductor
• Self-trapping phenomenon in (2+1)-dimensional quantum electrodynamics and its application to high-T_c cuprates with Neel ordering

Cited by in corpus (2)

• Topological Spin Texture Created by Zhang--Rice Singlets in Cuprate Superconductors
• Destruction of Magnetic Long-Range Order by Hole-Induced Skyrmions in Two-Dimensional Heisenberg Model