Relativistic Mott criticality in graphene
By I. Herbut, V. Juričić, O. Vafek. 2009
149 citations recorded by the source corpus.
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 $\ensuremath{\sim}1/r$ 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.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/c0fa2b752078a4948738b7360b55518f97009959
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Materials Chemistry
Citations in the corpus
- Electronic properties of graphene in a strong magnetic field (2010, background): “The situation is different in undoped graphene, where recent renormalizationgroup (Herbut et al., 2009a,b; Juričić et al., 2009) and lattice gauge theoretical calculations (Drut and Lähde, 2009a,b) indicate a flow towards strong coupling at moderate values of αG.”
- Pinning the Order: The Nature of Quantum Criticality in the Hubbard Model on Honeycomb Lattice (2013, background): “In fact both the large-N approach [5] and the expansion around the upper critical dimension [6] suggest that this is indeed the case.”
- Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons (2015, methodology): “Gross-Neveu 8 Chiral Heisenberg 4 − ε, first order [25,50] 0.”