Mott multicriticality of Dirac electrons in graphene

作者:Classen Laura*; Herbut Igor F; Janssen Lukas; Scherer Michael M
来源:Physical Review B, 2015, 92(3): 035429.
DOI:10.1103/PhysRevB.92.035429

摘要

We study the multicritical behavior for the semimetal-insulator transitions on graphene's honeycomb lattice using the Gross-Neveu-Yukawa effective theory with two order parameters: the SO(3) (Heisenberg) order parameter describes the antiferromagnetic transition, and the Z(2) (Ising) order parameter describes the transition to a staggered density state. Their coupling induces multicritical behavior which determines the structure of the phase diagram close to the multicritical point. Depending on the number of fermion flavors N-f and working in the perturbative regime in the vicinity of three (spatial) dimensions, we observe first-order or continuous phase transitions at the multicritical point. For the graphene case of N-f = 2 and within our low-order approximation, the phase diagram displays a tetracritical structure.

  • 出版日期2015-7-24