The quantum valley Hall effect in proximity-induced superconducting graphene: an experimental window for deconfined quantum criticality

Abstract

We argue that by inducing superconductivity in graphene via the proximity effect, it is possible to observes the "quantum valley Hall effect". In the presence of magnetic field, supercurrent causes "valley pseudospin" to accumulate at the edges of the superconducting strip. This, and the structure of the superconducting vortex core, provide possibilities to experimentally observe aspects of the "deconfined quantum criticality".

4 pages, 4 figures

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• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
• Fermion-induced quantum critical points
• Quantum phase transitions beyond Landau-Ginzburg theory in one-dimensional space revisited
• Edge states and enhanced spin-orbit interaction at graphene/graphane interfaces
• Isospin of topological defects in Dirac systems
• Fermion-induced quantum critical points in two-dimensional Dirac semimetals
• The role of geometry and topological defects in the 1D zero-line modes of graphene
• Non-Abelian SU(2) gauge fields through density-wave order and strain in graphene
• Symmetry-protected entangling boundary zero modes in crystalline topological insulators
• Unbalanced edge modes and topological phase transition in gated trilayer graphene
• Spectrum of the Dirac Hamiltonian with the mass-hedgehog in arbitrary dimension
• Magnetic field induced inequivalent vortex zero modes in strained graphene
• Antilinear spectral symmetry and the vortex zero-modes in topological insulators and graphene
• Pairing symmetry and vortex zero-mode for superconducting Dirac fermions
• Fermion-induced quantum critical point in Dirac semimetals: a sign-problem-free quantum Monte Carlo study
• $Z_2$ index for gapless fermionic modes in the vortex core of three dimensional paired Dirac fermions
• Supersymmetric Runge-Lenz-Pauli vector for Dirac vortex in topological insulators and graphene
• Competing orders in the Dirac-like electronic structure and the non-linear sigma model with the topological terms
• Berry curvature mediated valley Hall and charge Hall effects in graphene via strain engineering
• Chiral d-wave superconducting state in the core of a doubly quantized s-wave vortex in graphene
• Two-dimensional anisotropic Dirac materials PtN4C2 and Pt2N8C6 with quantum spin and valley Hall effects
• SO(4) multicriticality of two-dimensional Dirac fermions
• Color degeneracy of competing orders near topological defects cores in planar quadratic band touching systems
• Topological Vortices in Chiral Gauge Theory of Graphene
• Zero modes and index theorems for non-Hermitian Dirac fermions