Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102179
Title: Effect of vertex corrections on the possibility of chiral symmetry breaking induced by long-range Coulomb repulsion in graphene
Authors: Katanin, A.
Issue Date: 2016
Publisher: American Physical Society
Citation: Katanin A. Effect of vertex corrections on the possibility of chiral symmetry breaking induced by long-range Coulomb repulsion in graphene / A. Katanin. — DOI 10.1103/PhysRevB.93.035132 // Physical Review B. — 2016. — Vol. 93. — Iss. 3. — 035132.
Abstract: In this paper, we consider the possibility of chiral (charge or spin density wave) symmetry breaking in graphene due to long-range Coulomb interaction by comparing the results of the Bethe-Salpeter and functional renormalization-group approaches. The former approach performs a summation of ladder diagrams in the particle-hole channel and reproduces the results of the Schwinger-Dyson approach for the critical interaction strength of the quantum phase transition. The renormalization-group approach combines the effect of different channels and allows to study the role of vertex corrections. The critical interaction strength, which is necessary to induce the symmetry breaking in the latter approach, is found in the static approximation to be αc=e2/(εvF)≈1.05 without considering the Fermi velocity renormalization, and αc=3.7 with accounting the renormailzation of the Fermi velocity. The latter value is expected to be, however, reduced, when the dynamic screening effects are taken into account, yielding the critical interaction, which may be comparable to the one in freely suspended graphene. We show that the vertex corrections are crucially important to obtain the mentioned values of critical interactions. © 2016 American Physical Society.
URI: http://hdl.handle.net/10995/102179
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85000789386
PURE ID: 695794
ISSN: 24699950
DOI: 10.1103/PhysRevB.93.035132
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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