Symmetry Analysis of Holes Localized on a Skyrmion in a Doped Antiferromagnet

Abstract

We use the low-energy effective field theory for holes coupled to the staggered magnetization in order to investigate the localization of holes on a Skyrmion in a square lattice antiferromagnet. When two holes get localized on the same Skyrmion, they form a bound state. The quantum numbers of the bound state are determined by the quantization of the collective modes of the Skyrmion. Remarkably, for p-wave states the quantum numbers are the same as those of a hole-pair bound by one-magnon exchange. Two holes localized on a Skyrmion with winding number $n=1$ or 2 may have s- or d-wave symmetry as well. Possible relations with preformed Cooper pairs of high-temperature superconductors are discussed.

48 pages, 8 figures

References in corpus (11)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Skyrmions in a Doped Antiferromagnet
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• Very High Precision Determination of Low-Energy Parameters: The 2-d Heisenberg Quantum Antiferromagnet as a Test Case
• Geometric phases and competing orders in two dimensions
• Homogeneous versus Spiral Phases of Hole-doped Antiferromagnets: A Systematic Effective Field Theory Investigation
• Systematic Low-Energy Effective Field Theory for Electron-Doped Antiferromagnets
• Theory of Anisotropic Hopping Transport due to Spiral Correlations in the Spin-Glass Phase of Underdoped Cuprates
• Systematic Low-Energy Effective Field Theory for Magnons and Holes in an Antiferromagnet on the Honeycomb Lattice
• Possibility of Skyrmion Superconductivity in Doped Antiferromagnet K${}_2$Fe${}_4$Se${}_5$

Cited by in corpus (10)

• Noncommuting Momenta of Topological Solitons
• Low-Temperature Properties of Two-Dimensional Ideal Ferromagnets
• Thermodynamics of Two-Dimensional Ideal Ferromagnets - Three-Loop Analysis
• Low-Temperature Properties of Ferromagnetic Spin Chains in a Magnetic Field
• Strings and skyrmions on domain walls
• Systematic Effective Field Theory Analysis of the D=2+1 Quantum XY Model at Low Temperatures
• Thermodynamics of Ferromagnetic Spin Chains in a Magnetic Field: Impact of the Spin-Wave Interaction
• Collective coordinate quantization and spin statistics of the solitons in the $\mathbb{C}{P}^N$ Skyrme-Faddeev model
• Holes Localized on a Skyrmion in a Doped Antiferromagnet on the Honeycomb Lattice: Symmetry Analysis
• Thermodynamics of the $d$=3+1 Quantum XY Model