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Relativistic Mott criticality in graphene

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arxiv 0904.1019 v2 pith:EZQDXKF3 submitted 2009-04-06 cond-mat.str-el cond-mat.mes-hallhep-th

Igor F. Herbut , Vladimir Juricic , Oskar Vafek This is my paper
classification cond-mat.str-elcond-mat.mes-hallhep-th
keywords criticalcriticalitynearbehaviorcoherentcomputecoulombcoupling
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abstract

We formulate the effective Gross-Neveu-Yukawa theory of the semimetal-insulator transitions on the honeycomb lattice and compute its quantum critical behavior near three (spatial) dimensions. We find that at the critical point Dirac fermions do not survive as coherent excitations and that the $\sim 1/r$ tail of the weak Coulomb interaction is an irrelevant coupling. The emergent Lorentz invariance near criticality implies a universal ratio of the low-temperature specific heats of the metallic and the rotational-symmetry-broken insulating phase.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops

    hep-th 2025-07 conditional novelty 7.0 of 10

    First five-loop renormalization group functions for the O(N) Gross-Neveu-Yukawa model, yielding refined, resummed critical exponent estimates for N=1, 2, and 5.

  2. Critical Ripples and Dirac Fermions in Crystalline Membranes

    cond-mat.other 2026-07 conditional novelty 6.0 of 10

    Flat membrane-Dirac systems asymptotically decouple at charge neutrality; finite-momentum rippling realizes either Wilson-Fisher criticality with spectator fermions or, when the ripple carries Kekulé mass quantum numb...

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