Graphene with time-dependent spin-orbit coupling: Truncated Magnus expansion approach

Abstract

We analyze the role of ac-driven Rashba spin-orbit coupling in monolayer graphene including a spin-dependent mass term. Using the Magnus expansion as a semi-analytical approximation scheme a full account of the quasienergie spectrum of spin states is given. We discuss the subtleties arising in correctly applying the Magnus expansion technique in order to determine the quasienergy spectrum. Comparison to the exact numerical solution gives appropriate boundaries to the validity of the Magnus expansion solution.

8 pages, 4 figures

References in corpus (8)

• Photovoltaic Hall effect in graphene
• The Magnus expansion and some of its applications
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit gap of graphene: First-principles calculations
• Tuning laser-induced bandgaps in graphene
• Optical response of graphene under intense terahertz fields
• Sufficient conditions for the convergence of the Magnus expansion
• Floquet spin states in graphene under ac driven spin-orbit interaction

Cited by in corpus (5)

• Floquet engineering of long-range p-wave superconductivity
• Photoinduced pseudospin effects in silicene beyond the off resonant condition
• Driven Hofstadter Butterflies and Related Topological Invariants
• Controlling spin without magnetic fields -- the Bloch-Rashba rotator
• Higher order Magnus expansions for driven two-level quantum dynamics