TY - JOUR
T1 - Competing many-body instabilities and unconventional superconductivity in graphene
AU - Kiesel, Maximilian L.
AU - Platt, Christian
AU - Hanke, Werner
AU - Abanin, Dmitry A.
AU - Thomale, Ronny
PY - 2012/7/30
Y1 - 2012/7/30
N2 - The band structure of graphene exhibits van Hove singularities (VHSs) at dopings x=±1/8 away from the Dirac point. Near the VHS, interactions effects, enhanced due to the large density of states, can give rise to various many-body phases. We study the competition between many-body instabilities in graphene using the functional renormalization group. We predict a rich phase diagram, which, depending on band structure as well as the range and scale of Coulomb interactions, contains a d+id-wave superconducting (SC) phase, or a spin-density-wave phase at the VHS. The d+id state is expected to exhibit quantized charge and spin Hall response, as well as Majorana modes bound to vortices. Nearby the VHS, we find singlet d+id-wave and triplet f-wave SC phases.
AB - The band structure of graphene exhibits van Hove singularities (VHSs) at dopings x=±1/8 away from the Dirac point. Near the VHS, interactions effects, enhanced due to the large density of states, can give rise to various many-body phases. We study the competition between many-body instabilities in graphene using the functional renormalization group. We predict a rich phase diagram, which, depending on band structure as well as the range and scale of Coulomb interactions, contains a d+id-wave superconducting (SC) phase, or a spin-density-wave phase at the VHS. The d+id state is expected to exhibit quantized charge and spin Hall response, as well as Majorana modes bound to vortices. Nearby the VHS, we find singlet d+id-wave and triplet f-wave SC phases.
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U2 - 10.1103/PhysRevB.86.020507
DO - 10.1103/PhysRevB.86.020507
M3 - Article
AN - SCOPUS:84864443155
SN - 1098-0121
VL - 86
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 2
M1 - 020507
ER -