Strain-induced time-reversal odd superconductivity in graphene
arXiv:1309.0507 · doi:10.1103/PhysRevB.90.041413
Abstract
Time-reversal symmetry breaking superconductors are exotic phases of matter with fascinating properties, which are, however, encountered rather sparsely. Here we identify the possibility of realizing such a superconducting ground state that exhibits an pairing symmetry in strained graphene. Although the underlying attractive interactions need to be sufficiently strong and comparable in pristine graphene to support such pairing state, we argue that strain can be conducive for its formation even for weak interactions. We show that quantum-critical behavior near the transition is controlled by a multicritical point, characterized by various critical exponents computed here in the framework of an -expansion near four spacetime dimensions. Furthermore, a vortex in this mixed superconducting state hosts a pair of Majorana fermions supporting a quartet of insulating and superconducting orders, among which topologically nontrivial quantum spin Hall insulator. These findings suggest that strained graphene could provide a platform for the realization of exotic superconducting states of Dirac fermions.
Published Version: 5 pages, 1 figure + Supplementary Materials (6 pages, 4 figures); New references, typos corrected
References in corpus (16)
- Theory of interacting electrons on the honeycomb lattice
- Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
- Density waves and Cooper pairing on the honeycomb lattice
- Gauge field induced by ripples in graphene
- Chiral Gauge Theory for Graphene
- BCS-BEC crossover on the two-dimensional honeycomb lattice
- Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
- Unusual nature of fully-gapped superconductivity in In-doped SnTe
- Induced Superconductivity in Graphene Grown on Rhenium
- Quantum superconducting criticality in graphene and topological insulators
- Multicritical behavior in models with two competing order parameters
- Fixed point stability and decay of correlations
- Axionic superconductivity in three dimensional doped narrow gap semiconductors
- Pseudo-magnetic catalysis of the time-reversal symmetry breaking in graphene
- Quantum critical scaling in magnetic field near the Dirac point in graphene
- Topological insulators in strained graphene at weak interaction
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