Applied electric field on zigzag graphene nanoribbons: reduction of spin stiffness and appearance of spiral spin density waves

Abstract

We investigated the reduction of the spin stiffness and the appearance of the spiral spin density waves when the electric field is applied on the zigzag graphene nanoribbons for the ferromagnetic and antiferromagnetic edge states. For that purpose, we exploited the generalized Bloch theorem combined with a constraint method to keep the direction of the magnetic moment of the carbon atom at the edges. We found that the ground state of ferromagnetic configuration is unstable and leads to the spiral ground state while the ground state of the antiferromagnetic configuration is robust. We also showed that the spin stiffness in the ferromagnetic and antiferromagnetic configurations reduces as the electric field increases. Thus, we justified that not only the spin stiffness but also the ground state of the zigzag graphene nanoribbons can be controlled by the electric field.

arXiv comment10 pages, 5 figures

References in corpus (22)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Graphene Photonics and Optoelectronics
• Emergence of magnetism in graphene materials and nanostructures
• Magnetic Correlations at Graphene Edges
• Ab-initio calculations of exchange interactions, spin-wave stiffness constants, and Curie temperatures of Fe, Co, and Ni
• The 2014 Magnetism Roadmap
• Will Zigzag Graphene Nanoribbon Turn to Half Metal under Electric Field?
• High-temperature ferromagnetism of $sp$ electrons in narrow impurity bands: Application to CaB${}_6$
• Magnons in real materials from density-functional theory
• Exchange interactions and local moment fluctuation corrections in ferromagnets at finite temperatures based on non-collinear density-functional calculations
• Magnetic groundstate and Fermi surface of bcc Eu
• Ferroelectricity of Neel-type magnetic domain walls
• Spin waves in zigzag graphene nanoribbons and the stability of edge ferromagnetism
• Magnetic ordering and multiferroicity in MnI${}_2$
• Domain Wall Magnetoresistance of Co Nanowires
• First-principles Study of Spiral Spin Density Waves in Monolayer MnCl${}_2$ Using Generalized Bloch Theorem
• Implementation of Generalized Bloch Theorem Using Linear Combination of Pseudo-Atomic Orbitals
• Transversal electric field effect in multilayer graphene nanoribbon
• Spin rectification for collinear and non-collinear magnetization and external magnetic field configurations
• Carrier-induced Antisymmetric-symmetric Tendencies of Spin Stiffness in Zigzag Graphene Nanoribbons
• First-principles Study of Spin-wave Excitations of 3$d$ Transition Metals with Linear Combination of Pseudo-atomic Orbitals

Cited by in corpus (4)

• Carrier-induced Phase Transition in Metal Dichlorides XCl${}_2$ (X: Fe, Co, and Ni)
• Impossibility of Increasing N$\acute{\text{e}}$el Temperature in Zigzag Graphene Nanoribbon by Electric Field and Carrier Doping
• Controlling phase transition in monolayer metal diiodides XI${}_2$ (X: Fe, Co, and Ni) by carrier doping
• Electric-field-induced spin spiral state in bilayer zigzag graphene nanoribbons