Renormalization group flow of quartic perturbations in graphene:: Strong coupling and large-N limits

被引:45
作者
Drut, Joaquin E. [1 ]
Son, Dam Thanh [1 ]
机构
[1] Univ Washington, Inst Nucl Theory, Seattle, WA 98195 USA
关键词
D O I
10.1103/PhysRevB.77.075115
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We explore the renormalization group flow of quartic perturbations in the low-enegy theory of graphene, in the strong Coulomb coupling and large-N limits, where N is the number of fermion flavors. We compute the anomalous dimensions of the quartic couplings u up to leading order in 1/N and find both relevant and irrelevant directions in the space of quartic couplings. We discuss possible phase diagrams and relevance for the physics of graphene.
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页数:5
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共 12 条
[1]   Spontaneous symmetry breaking in graphene subjected to an in-plane magnetic field [J].
Aleiner, I. L. ;
Kharzeev, D. E. ;
Tsvelik, A. M. .
PHYSICAL REVIEW B, 2007, 76 (19)
[2]   Critical flavor number in the three dimensional Thirring model [J].
Christofi, Stavros ;
Hands, Simon ;
Strouthos, Costas .
PHYSICAL REVIEW D, 2007, 75 (10)
[3]   The rise of graphene [J].
Geim, A. K. ;
Novoselov, K. S. .
NATURE MATERIALS, 2007, 6 (03) :183-191
[4]   NON-FERMI LIQUID BEHAVIOR OF ELECTRONS IN THE HALF-FILLED HONEYCOMB LATTICE - (A RENORMALIZATION-GROUP APPROACH) [J].
GONZALEZ, J ;
GUINEA, F ;
VOZMEDIANO, MAH .
NUCLEAR PHYSICS B, 1994, 424 (03) :595-618
[5]   Magnetic field driven metal-insulator phase transition in planar systems [J].
Gorbar, EV ;
Gusynin, VP ;
Miransky, VA ;
Shovkovy, IA .
PHYSICAL REVIEW B, 2002, 66 (04) :451081-4510822
[6]   DYNAMICAL SYMMETRY BREAKING IN ASYMPTOTICALLY FREE FIELD-THEORIES [J].
GROSS, DJ ;
NEVEU, A .
PHYSICAL REVIEW D, 1974, 10 (10) :3235-3253
[7]   Interactions and phase transitions on graphene's honeycomb lattice [J].
Herbut, Igor F. .
PHYSICAL REVIEW LETTERS, 2006, 97 (14)
[8]   Excitonic instability in layered degenerate semimetals [J].
Khveshchenko, DV ;
Leal, H .
NUCLEAR PHYSICS B, 2004, 687 (03) :323-331
[9]   Coulomb interactions and ferromagnetism in pure and doped graphene [J].
Peres, NMR ;
Guinea, F ;
Castro Neto, AH .
PHYSICAL REVIEW B, 2005, 72 (17)
[10]   CONDENSED-MATTER SIMULATION OF A 3-DIMENSIONAL ANOMALY [J].
SEMENOFF, GW .
PHYSICAL REVIEW LETTERS, 1984, 53 (26) :2449-2452