TY - JOUR

T1 - Systematic low-energy effective field theory for magnons and holes in an antiferromagnet on the honeycomb lattice

AU - Kämpfer, F.

AU - Bessire, B.

AU - Wirz, M.

AU - Hofmann, C. P.

AU - Jiang, F. J.

AU - Wiese, U. J.

PY - 2012/2/21

Y1 - 2012/2/21

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevB.85.075123

DO - 10.1103/PhysRevB.85.075123

M3 - Article

AN - SCOPUS:84857708584

VL - 85

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 7

M1 - 075123

ER -