Possibility of High Tc Superconductivity in doped Graphene

Abstract

Graphene is at the forefront of condensed matter sciences, because of a variety of interesting phenomena it supports. If graphene could support high Tc superconductivity, after doping for example, it will make it even more valuable. Some authors have suggested possibility of superconductivity in graphite like systems. However, an early suggestion of one of us (Baskaran) was unique in the sense it combined Pauling's classic idea of resonating valence bond physics with band theory to obtain some exciting results for superconductivity. Black-Schaffer and Doniach took this approach further and found an unconventional d + id order parameter. To sharpen our theory and get more convincing and reliable results for superconductivity, we introduce a correlated variational BCS ground state wavefunction and perform extensive Monte Carlo study of the repulsive Hubbard model on the honeycomb lattice. We find that undoped graphene is not a superconductor, consistent with experiments and also mean field results. Interestingly, an appreciable superconducting order is obtained around an optimal doping. This result and a supportive slave particle analysis together suggest the possibility of high temperature superconductivity in doped graphene.

6 Pages, 3 Figures

References in corpus (8)

• The electronic properties of graphene
• Superconducting states of pure and doped graphene
• Density waves and Cooper pairing on the honeycomb lattice
• Resonating valence bonds and mean-field d-wave superconductivity in graphite
• Self-consistent slave rotor mean field theory for strongly correlated systems
• d+id'-wave Superconducting States in Graphene
• Ferromagnetism and Superconductivity in Carbon-Based Systems
• Search for the Reasons of Josephson Like Behavior of Thin Granular Carbon Films

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• Colloquium: Topological Band Theory
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• Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene
• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• Chiral d-wave superconductivity in doped graphene
• d+id' Chiral Superconductivity in Bilayer Silicene
• Pairing symmetry of interacting fermions on twisted bilayer graphene superlattice
• High-temperature topological superconductivity in twisted double layer copper oxides
• Antiferromagnetically ordered Mott insulator and $d+id$ superconductivity in twisted bilayer graphene: A quantum Monte carlo study
• Phase dynamics in graphene-based Josephson junctions in the presence of thermal and correlated fluctuations
• Edge properties of the chiral d-wave superconducting state in doped graphene
• Pairing in graphene: A quantum Monte Carlo study
• Time-reversal symmetry breaking superconducting ground state in the doped Mott insulator on the honeycomb lattice
• Charge Order in the Holstein Model on a Honeycomb Lattice
• Wannier Pairs in the Superconducting Twisted Bilayer Graphene and Related Systems
• Possible Triplet $p+ip$ Superconductivity in Graphene at Low Filling
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
• Chiral triplet superconductivity on the graphene lattice
• Tight-binding description of intrinsic superconducting correlations in multilayer graphene
• Electronic correlations stabilizing time-reversal broken chiral superconductivity in single-trilayer TiSe${}_2$
• Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
• Gauge fields emerging from time reversal symmetry breaking for spin-5/2 fermions in a honeycomb lattice
• Magnetization Measurement of a Possible High-Temperature Superconducting State in Amorphous Carbon Doped with Sulfur
• Prediction of Anisotropic Single-Dirac-Cones in Bi${}_{1-x}$Sb${}_x$ Thin Films
• The fate of the resonating valence bond in graphene
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• i-Josephson Junction as Topological Superconductor
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• Transition-Metal Oxide (111) bilayers
• Possible singlet and triplet superconductivity on honeycomb lattice
• d-wave superconductivity on the honeycomb bilayer
• Defects in the (d+id)-wave superconducting state in heavily doped graphene
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• Sensory organ like response determines the magnetism of zigzag-edged honeycomb nanoribbons
• High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems
• Spontaneous breaking of time reversal symmetry in strongly interacting two dimensional electron layers in silicon and germanium
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• Stripe order in the doped Hubbard model on the honeycomb lattice
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• t-J model on the effective brick-wall lattice for the recently discovered high-temperature superconductor Ba${}_2$CuO${}_{3+\delta }$
• Superconductivity in twisted multilayer graphene: a smoking gun in recent condensed matter physics
• Coexistence of antiferromagnetism and superconductivity of t-t${}^{\prime }$-J model on honeycomb lattice
• Inhomogeneous superconductivity in the presence of time-reversal symmetry
• Electronic Structure and Kohn-Luttinger Superconductivity of Heavily-Doped Single-Layer Graphene
• Fermionic Superfluid from a Bilayer Band Insulator in an Optical Lattice
• Kekulé superconductivity and antiferromagnetism on the graphene lattice
• Stripe versus superconductivity in the doped Hubbard model on the honeycomb lattice
• Superfluidity of Dirac Fermions in a Tunable Honeycomb Lattice: Cooper Pairing, Collective Modes, and Critical Currents
• Chiral p-wave superconductivity in Sb(111) thin films close to Van Hove singularities
• Spin excitations in the heavily overdoped monolayer graphene superconductor: an analog to the cuprates
• Making Chiral Topological Superconductivities from Non-topological Superconductivities Through the Twist
• Coexistence of antiferromagnetism and topological superconductivity on the honeycomb lattice Hubbard model
• Disorder-dependent superconducting pairing symmetry in doped graphene
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• Accessing topological superconductivity via a combined STM and renormalization group analysis
• Impurity induced current in a Chern insulator
• From chiral d-wave to nodal line superconductivity in the harmonic honeycomb lattices
• Superconductivity in graphene stacks: from the bilayer to graphite
• Triplet $p$-wave pairing correlation in low doped zigzag graphene nanoribbons
• Superconductivity of strongly correlated electrons on the honeycomb lattice
• Symmetry Aspects of Chiral Superconductors
• Possible superconductivity in multi-layer-graphene by application of a gate voltage
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• A constrained theory of non-BCS type superconductivity in gapped Graphene
• Can doping graphite trigger room temperature superconductivity? Evidence for granular high-temperature superconductivity in water-treated graphite powder
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• A Theoretical Analysis of Superconducting Pairing in Correlated Metallic Systems