Mott multicriticality of Dirac electrons in graphene

Igor F. Herbut; Laura Classen; Lukas Janssen; Michael M. Scherer

Mott multicriticality of Dirac electrons in graphene

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arxiv 1503.05002 v2 pith:4JT6WSPC submitted 2015-03-17 cond-mat.str-el cond-mat.mes-hallhep-th

Laura Classen , Igor F. Herbut , Lukas Janssen , Michael M. Scherer This is my paper · ORCID

classification cond-mat.str-elcond-mat.mes-hallhep-th

keywords ordermulticriticalgraphenephasebehaviordescribesdiagramparameter

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abstract

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 $\mathbb{Z}_2$ (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 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.

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Fermions and the Renormalisation Group at Large N
hep-th 2025-02 conditional novelty 7.0 of 10

At large N, fermionic quantum field theories have exact effective actions depending only on flavour-singlet fermion bilinears, making the local potential approximation exact and yielding new conformal fixed points.

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