Electronic properties of a nanotorus

Abstract

In this paper we study the properties of an electron trapped on a torus surface. We consider the influence of surface curvature on the spectrum and the behaviour of the wave function. In addition, the effects of external electric and magnetic fields were explored. Two toroid configurations were considered, namely, a torus-like configuration and a ring-like configuration both in agreement with experimental data. We also obtain the bound states and discuss the role of geometry on the Landau levels.

12 pages, 12 figures

References in corpus (7)

• The electronic properties of graphene
• Making Sense of Non-Hermitian Hamiltonians
• Charge inhomogeneities due to smooth ripples in graphene sheets
• Quantum mechanics on curved 2D systems with electric and magnetic fields
• Graphene wormholes: A condensed matter illustration of Dirac fermions in curved space
• Helicoidal Graphene Nanoribbons: Chiraltronics
• Electronic properties of bilayer graphene catenoid bridge

Cited by in corpus (8)

• Generalized Ellis-Bronnikov graphene wormhole
• Electronic states in a quantum Beltrami surface
• Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields
• Encoding quantum bits in bound electronic states of a graphene nanotorus
• Geometrodynamics of a 2D Curved Surface due to a Constrained Quantum Particle via its Gravitational Dual: ${\mathcal{S}}^2$ Analytical Model Calculations
• Electronic states in quantum wires on a Möbius strip
• Electronic states in a bilayer graphene quantum ripple
• Quantum particle on a surface: Catenary surface and Paraboloid of revolution