Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-09-07
Physics
Condensed Matter
Strongly Correlated Electrons
33 pages, 6 figures
Scientific paper
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 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.
Bessire B.
Hofmann Christoph P.
Jiang Fu-Jiun
Kämpfer F.
Wiese Uwe-Jens
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