Competing many-body instabilities and unconventional superconductivity in graphene

作者: Maximilian L. Kiesel , Christian Platt , Werner Hanke , Dmitry A. Abanin , Ronny Thomale

DOI: 10.1103/PHYSREVB.86.020507

关键词:

摘要: The band structure of graphene exhibits van Hove singularities (VHSs) at dopings $x=\ifmmode\pm\else\textpm\fi{}1/8$ away from the Dirac point. Near VHS, interactions effects, enhanced due to large density states, can give rise various many-body phases. We study competition between instabilities in using functional renormalization group. predict a rich phase diagram, which, depending on as well range and scale Coulomb interactions, contains $d+id$-wave superconducting (SC) phase, or spin-density-wave VHS. $d+id$ state is expected exhibit quantized charge spin Hall response, Majorana modes bound vortices. Nearby we find singlet triplet $f$-wave SC

参考文章(31)
A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, A. K. Geim, The electronic properties of graphene Reviews of Modern Physics. ,vol. 81, pp. 109- 162 ,(2009) , 10.1103/REVMODPHYS.81.109
Valeri N. Kotov, Bruno Uchoa, Vitor M. Pereira, F. Guinea, A. H. Castro Neto, Electron-Electron Interactions in Graphene: Current Status and Perspectives Reviews of Modern Physics. ,vol. 84, pp. 1067- 1125 ,(2012) , 10.1103/REVMODPHYS.84.1067
J. González, F. Guinea, M. A. H. Vozmediano, Marginal-Fermi-liquid behavior from two-dimensional Coulomb interaction Physical Review B. ,vol. 59, pp. R2474- R2477 ,(1998) , 10.1103/PHYSREVB.59.R2474
J. L. McChesney, Aaron Bostwick, Taisuke Ohta, Thomas Seyller, Karsten Horn, J. González, Eli Rotenberg, Extended van Hove Singularity and Superconducting Instability in Doped Graphene Physical Review Letters. ,vol. 104, pp. 136803- ,(2010) , 10.1103/PHYSREVLETT.104.136803
Dmitri K. Efetov, Philip Kim, Controlling electron-phonon interactions in graphene at ultrahigh carrier densities Physical Review Letters. ,vol. 105, pp. 256805- ,(2010) , 10.1103/PHYSREVLETT.105.256805
Bruno Uchoa, A. H. Castro Neto, Superconducting states of pure and doped graphene. Physical Review Letters. ,vol. 98, pp. 146801- ,(2007) , 10.1103/PHYSREVLETT.98.146801
Bitan Roy, Igor F. Herbut, Unconventional superconductivity on honeycomb lattice: Theory of Kekule order parameter Physical Review B. ,vol. 82, pp. 035429- ,(2010) , 10.1103/PHYSREVB.82.035429
Carsten Honerkamp, Density waves and cooper pairing on the honeycomb lattice. Physical Review Letters. ,vol. 100, pp. 146404- ,(2008) , 10.1103/PHYSREVLETT.100.146404
G. Baskaran, Resonating-valence-bond contribution to superconductivity in MgB 2 Physical Review B. ,vol. 65, pp. 212505- ,(2002) , 10.1103/PHYSREVB.65.212505