Impossibility of Increasing N$\acute{\text{e}}$el Temperature in Zigzag Graphene Nanoribbon by Electric Field and Carrier Doping

Abstract

We investigated the dependence of N$\acute{\text{e}}$el temperature as a critical temperature on the electric field and hole-electron doping in the antiferromagnetically ordered zigzag graphene nanoribbon. The temperature was calculated by averaging the magnon energy in the Brillouin zone within the mean-field approximation. We employed the generalized Bloch theorem instead of the supercell approach to reduce the computational cost significantly to obtain the magnon spectrum. We showed that the N$\acute{\text{e}}$el temperature reduces when increasing both the electric field and the hole-electron doping, thus these treatments will never enhance the N$\acute{\text{e}}$el temperature.

References in corpus (11)

• Electric Field Effect in Atomically Thin Carbon Films
• Half-Metallic Graphene Nanoribbons
• Room temperature magnetic order on zigzag edges of narrow graphene nanoribbons
• Magnetic Correlations at Graphene Edges
• Will Zigzag Graphene Nanoribbon Turn to Half Metal under Electric Field?
• Electronic structure and magnetism of transition metal dihalides: bulk to monolayer
• Tuning the electronic structures of silicene and germanene by biaxial strain and electric field
• High-temperature ferromagnetism of $sp$ electrons in narrow impurity bands: Application to CaB${}_6$
• Applied electric field on zigzag graphene nanoribbons: reduction of spin stiffness and appearance of spiral spin density waves
• First-principles Study of Spin-wave Excitations of 3$d$ Transition Metals with Linear Combination of Pseudo-atomic Orbitals
• Electric-field-induced spin spiral state in bilayer zigzag graphene nanoribbons