Complex Landau levels and related transport properties in the strained zigzag graphene nanoribbons

Abstract

The real magnetic fields (MFs) acting on the graphene can induce flat real Landau levels (LLs). As an analogy, strains in graphene can produce significant pseudo MFs, triggering the appearance of dispersive pseudo LLs. By analyzing the low-energy effective Hamiltonian, we introduce the concept of the effective orbital MFs to integrate the real MFs and pseudo MFs. Accordingly, we obtain the complex LLs which incorporate the real LLs and pseudo LLs, and calculate the related transport properties. These concepts enable us to uncover the mechanisms driving the fragility of pseudo LLs against disorders and dephasing, proving that tuning the real MFs and Fermi energy can effectively improve the robust performances. Furthermore, the tunability of the valley-polarized currents is also studied, opening up new possibilities for the design of valleytronics devices.

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References in corpus (9)

• The electronic properties of graphene
• Valley filter and valley valve in graphene
• A tight-binding approach to uniaxial strain in graphene
• Nonlinear elasticity of monolayer graphene
• Strain controlled valley filtering in multi-terminal graphene structures
• Influence of dephasing process on the quantum Hall effect and the spin Hall effect
• Valley Seebeck effect in gate tunable zigzag graphene nanoribbons
• Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice
• Helical superconducting edge modes from pseudo-Landau levels in graphene

Cited by in corpus (3)

• Zigzag edge ferromagnetism of triangular-graphene-quantum-dot-like system
• Pseudo-magnetic fields in square lattices
• Non-Hermitian reshaping of high-order Landau modes