Systematic low-energy effective field theory for magnons and holes in an antiferromagnet on the honeycomb lattice

F. Kämpfer, B. Bessire, M. Wirz, C. P. Hofmann, F. J. Jiang, U. J. Wiese

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Based on a symmetry analysis of the microscopic Hubbard and t-J models, a systematic low-energy effective field theory is constructed for hole-doped antiferromagnets on the honeycomb lattice. In the antiferromagnetic phase, doped holes are massive due to the spontaneous breakdown of the SU( 2)s symmetry, just as nucleons in Quantum Chromodynamics (QCD) pick up their mass from spontaneous chiral symmetry breaking. In the broken phase, the effective action contains a single-derivative term, similar to the Shraiman-Siggia term in the square lattice case. Interestingly, an accidental continuous spatial rotation symmetry arises at leading order. As an application of the effective field theory, we consider one-magnon exchange between two holes and the formation of two-hole bound states. As an unambiguous prediction of the effective theory, the wave function for the ground state of two holes bound by magnon exchange exhibits f-wave symmetry.

Original languageEnglish
Article number075123
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number7
Publication statusPublished - 2012 Feb 21


ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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