Research paperTheoreticalStrain effects on the electronic properties of a graphene wormholeJ. E. G. Silva, Ö. Ye¸silta¸s, J. Furtado, A. A. Araújo FilhoarXiv preprint·2024·10.1140/epjp/s13360-024-05564-7·arXiv:2405.09407AbstractWe explore strain and curvature effects on the electronic properties of a curved graphene structure, called the graphene wormhole. The electron dynamics is described by a massless Dirac fermion containing position-dependent Fermi velocity. The strain produces a pseudo-magnetic vector potential, and for isotropic strain the decoupled spinor components exhibit a supersymmetric potential. In the absence of an external magnetic field, strain yields an exponentially damped amplitude while curvature leads to a power-law damping of the wave function. Spin-curvature coupling breaks chiral symmetry between spinor components. With a uniform magnetic field, the effective potential shows an asymptotic quadratic profile and a spin-curvature barrier near the throat, confining Landau levels around the wormhole throat with asymmetric, spin-dependent profiles.Read more
Analytical model of a catenoid-shaped graphene wormhole connecting two asymptotically flat graphene layers.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalStrain effects on the electronic properties of a graphene wormholeJ. E. G. Silva, Ö. Ye¸silta¸s, J. Furtado, A. A. Araújo FilhoarXiv preprint·2024·10.1140/epjp/s13360-024-05564-7·arXiv:2405.09407AbstractWe explore strain and curvature effects on the electronic properties of a curved graphene structure, called the graphene wormhole. The electron dynamics is described by a massless Dirac fermion containing position-dependent Fermi velocity. The strain produces a pseudo-magnetic vector potential, and for isotropic strain the decoupled spinor components exhibit a supersymmetric potential. In the absence of an external magnetic field, strain yields an exponentially damped amplitude while curvature leads to a power-law damping of the wave function. Spin-curvature coupling breaks chiral symmetry between spinor components. With a uniform magnetic field, the effective potential shows an asymptotic quadratic profile and a spin-curvature barrier near the throat, confining Landau levels around the wormhole throat with asymmetric, spin-dependent profiles.Read more
Analytical model of a catenoid-shaped graphene wormhole connecting two asymptotically flat graphene layers.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalStrain effects on the electronic properties of a graphene wormholeJ. E. G. Silva, Ö. Ye¸silta¸s, J. Furtado, A. A. Araújo FilhoarXiv preprint·2024·10.1140/epjp/s13360-024-05564-7·arXiv:2405.09407AbstractWe explore strain and curvature effects on the electronic properties of a curved graphene structure, called the graphene wormhole. The electron dynamics is described by a massless Dirac fermion containing position-dependent Fermi velocity. The strain produces a pseudo-magnetic vector potential, and for isotropic strain the decoupled spinor components exhibit a supersymmetric potential. In the absence of an external magnetic field, strain yields an exponentially damped amplitude while curvature leads to a power-law damping of the wave function. Spin-curvature coupling breaks chiral symmetry between spinor components. With a uniform magnetic field, the effective potential shows an asymptotic quadratic profile and a spin-curvature barrier near the throat, confining Landau levels around the wormhole throat with asymmetric, spin-dependent profiles.Read more
Analytical model of a catenoid-shaped graphene wormhole connecting two asymptotically flat graphene layers.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalStrain effects on the electronic properties of a graphene wormholeJ. E. G. Silva, Ö. Ye¸silta¸s, J. Furtado, A. A. Araújo FilhoarXiv preprint·2024·10.1140/epjp/s13360-024-05564-7·arXiv:2405.09407AbstractWe explore strain and curvature effects on the electronic properties of a curved graphene structure, called the graphene wormhole. The electron dynamics is described by a massless Dirac fermion containing position-dependent Fermi velocity. The strain produces a pseudo-magnetic vector potential, and for isotropic strain the decoupled spinor components exhibit a supersymmetric potential. In the absence of an external magnetic field, strain yields an exponentially damped amplitude while curvature leads to a power-law damping of the wave function. Spin-curvature coupling breaks chiral symmetry between spinor components. With a uniform magnetic field, the effective potential shows an asymptotic quadratic profile and a spin-curvature barrier near the throat, confining Landau levels around the wormhole throat with asymmetric, spin-dependent profiles.Read more
Analytical model of a catenoid-shaped graphene wormhole connecting two asymptotically flat graphene layers.No measurements recordedSimulatedCStudied MaterialExpand
