Effects of a Uniform Magnetic Field on Twisted Graphene Nanoribbons

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