Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-06-07
Phys.Rev.84:113404,2011
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 1 figure, Published Version with corrections and new references
Scientific paper
10.1103/PhysRevB.84.113404
Multi-critical behavior of interacting fermions in graphene's honeycomb lattice is presented. In particular, we considered the spin triplet insulating orders, where the spin rotational symmetry of the order parameter is explicitly broken. By casting the problem in terms of Gross-Neveu-Yukawa theory we show that such symmetry-breaking terms are irrelevant near the metal-insulator critical point. A finite Yukawa coupling among bosons and fermions improves the stability of such critical point against the symmetry-breaking perturbations. Physical sources of such symmetry-breaking terms are pointed out. Critical exponents are calculated near the transitions as well.
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