An analysis of the zero energy states in graphene

Abstract

Using the concept of complex non PT symmetric potential we study creation of zero energy states in graphene by a scalar potential. The admissible range of the potential parameter values for which such states exist has been examined. The situation with respect to the holes has also been investigated.

References in corpus (18)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Complex Extension of Quantum Mechanics
• Electronic States of Graphene Nanoribbons
• Magnetic confinement of massless Dirac fermions in graphene
• The zero-energy state in graphene in a high magnetic field
• Schrödinger operators with complex potential but real spectrum
• Emerging Zero Modes for Graphene in a Periodic Potential
• Multiple magnetic barriers in graphene
• Smooth electron waveguides in graphene
• Supersymmetry-generated complex optical potentials with real spectra
• Zero-energy states in triangular and trapezoidal graphene structures
• Zero-energy states in graphene quantum dots and rings
• Quasi-exact solution to the Dirac equation for the hyperbolic secant potential
• Spontaneous breakdown of PT symmetry in the solvable square-well model
• Searching for confined modes in graphene channels: the variable phase method
• Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice
• Bound States in Graphene
• On zero energy states in graphene

Cited by in corpus (15)

• Super-Klein tunneling of Dirac fermions through electrostatic gratings in graphene
• Construction of zero energy states in graphene through the supersymmetry formalism
• Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential
• Conditional electron confinement in graphene via smooth magnetic fields
• Zero-energy vortices in Dirac materials
• New solutions for graphene with scalar potentials by means of generalized intertwining
• Generalized harmonic confinement of massless Dirac fermions in (2+ 1) dimensions
• Zero Energy States for a Class of Two-Dimensional Potentials in Graphene
• Klein Bound States in Single-Layer Graphene
• A New Class of Solvable Two-dimensional Scalar Potentials for Graphene
• Lorentzian quantum wells in graphene: the role of shape invariance in zero-energy states trapping
• Solvable Two-dimensional Dirac Equation with Matrix Potential: Graphene in External Electromagnetic Field
• Confinement in bilayer graphene via intra- and inter-layer interactions
• Zero energy states of Dirac equation in $(2+1)$-dimensional curved spacetime
• The massless Dirac-Weyl equation with deformed extended complex potentials