Systematic Effective Field Theory Investigation of Spiral Phases in Hole-Doped Antiferromagnets on the Honeycomb Lattice

Abstract

Motivated by possible applications to the antiferromagnetic precursor of the high-temperature superconductor Na${}_x$CoO${}_2\cdot$yH${}_2$O, we use a systematic low-energy effective field theory for magnons and holes to study different phases of doped antiferromagnets on the honeycomb lattice. The effective action contains a leading single-derivative term, similar to the Shraiman-Siggia term in the square lattice case, which gives rise to spirals in the staggered magnetization. Depending on the values of the low-energy parameters, either a homogeneous phase with four or a spiral phase with two filled hole pockets is energetically favored. Unlike in the square lattice case, at leading order the effective action has an accidental continuous spatial rotation symmetry. Consequently, the spiral may point in any direction and is not necessarily aligned with a lattice direction.

10 pages, 6 figures

References in corpus (5)

• Charge order and superconductivity in a two-dimensional triangular lattice at n=2/3
• Two-Hole Bound States from a Systematic Low-Energy Effective Field Theory for Magnons and Holes in an Antiferromagnet
• Homogeneous versus Spiral Phases of Hole-doped Antiferromagnets: A Systematic Effective Field Theory Investigation
• Systematic Low-Energy Effective Field Theory for Electron-Doped Antiferromagnets
• Loop-Cluster Simulation of the $t$-$J$ Model on the Honeycomb Lattice

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• Symmetry Analysis of Holes Localized on a Skyrmion in a Doped Antiferromagnet
• Thermodynamics of Two-Dimensional Ideal Ferromagnets - Three-Loop Analysis
• Systematic Low-Energy Effective Field Theory for Magnons and Holes in an Antiferromagnet on the Honeycomb Lattice
• Microscopic Model versus Systematic Low-Energy Effective Field Theory for a Doped Quantum Ferromagnet
• Low-Temperature Properties of Ferromagnetic Spin Chains in a Magnetic Field
• Thermodynamics of Ferromagnetic Spin Chains in a Magnetic Field: Impact of the Spin-Wave Interaction
• Systematic Effective Field Theory Analysis of the D=2+1 Quantum XY Model at Low Temperatures
• Holes Localized on a Skyrmion in a Doped Antiferromagnet on the Honeycomb Lattice: Symmetry Analysis
• Thermodynamics of the $d$=3+1 Quantum XY Model