Nature of the antiferromagnetic quantum phase transition on the honeycomb lattice

2011/10/01 by Jing-Rong Wang, Wang, Jing-Rong, Guo-Zhu Liu +3
Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.1110.0093

openalex publication_date 2011/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We address the nature of the antiferromagnetic quantum phase transition that separates a semimetal from an antiferromagnet in the repulsive Hubbard model defined on the honeycomb lattice. At the critical point, the fermions acquire an anomalous dimension η due to their strong coupling to the fluctuations of the order parameter ϕ. The finite η in turn induces a singular ϕ⁴ term and a non-analytical spin susceptibility signaling the breakdown of Hertz's ϕ⁴ theory. As a result, the continuous antiferromagnetic quantum phase transition is internally unstable and turns into a first order transition.

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