Effects of a uniform magnetic field on twisted graphene nanoribbons

Abstract

In the present work, the relativistic quantum motion of massless fermions in a helicoidal graphene nanoribbon under the influence of a uniform magnetic field is investigated. Considering a uniform magnetic field ($B$) aligned along the axis of helicoid, this problem is explored in the context of Dirac equation in a curved space-time. As this system does not support exact solutions due to considered background, the bound-state solutions and local density of state (LDOS) are obtained numerically by means of the Numerov method. The combined effects of width of the nanoribbon ($D$), length of ribbon ($L$), twist parameter ($\omega$) and $B$ on the equations of motion and local density of states (LDOS) are analyzed and discussed. It is verified that the presence of $B$ produces a constant minimum value of local density of state on the axis of helicoid, which is possible only for values large enough of $\omega$, in contrast to the case for $B=0$ already studied in the literature.

arXiv comment10 pages, 7 figures

References in corpus (16)

• Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
• Hawking Radiation from an Acoustic Black Hole on an Ion Ring
• Helicoidal model for DNA opening
• Electronic properties of curved graphene sheets
• Order and Frustration in Chiral Liquid Crystals
• Constraining the angular momentum of the Sun with planetary orbital motions and general relativity
• Minimal Surfaces, Screw Dislocations and Twist Grain Boundaries
• Geometrical and topological aspects of graphene and related materials
• Geometry induced charge separation on a helicoidal ribbon
• Emergent Horava gravity in graphene
• Helicoidal Graphene Nanoribbons: Chiraltronics
• A cosmological model for corrugated graphene sheets
• Emergent geometry experienced by fermions in graphene in the presence of dislocations
• Electronic structure of helicoidal graphene: massless Dirac particles on a curved surface with a screw symmetry

Cited by in corpus (3)

• Charged scalar bosons in a Bonnor-Melvin-$\Lambda$ universe at conical approximation
• Photonic Modes in Twisted Graphene Nanoribbons
• Twist-Induced Effects on Weyl Pairs in Magnetized Graphene Nanoribbons