Electron-electron and spin-orbit interactions in armchair graphene ribbons

Abstract

The effects of intrinsic spin-orbit and Coulomb interactions on low-energy properties of finite width graphene armchair ribbons are studied by means of a Dirac Hamiltonian. It is shown that metallic states subsist in the presence of intrinsic spin-orbit interactions as spin-filtered edge states, in contrast with the insulating behavior predicted for graphene planes. A charge-gap opens due to Coulomb interactions in neutral ribbons, that vanishes as $\Delta \sim 1/W$, with a gapless spin sector. Weak intrinsic spin-orbit interactions do not change the insulating behavior. Explicit expressions for the width-dependent gap and various correlation functions are presented.

Will appear in PRL

References in corpus (10)

• Energy Band Gap Engineering of Graphene Nanoribbons
• Energy Gaps in Graphene Nanoribbons
• Electronic States of Graphene Nanoribbons
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit gap of graphene: First-principles calculations
• Quantum-limited shot noise in graphene
• The Nature of Quantum Hall States near the Charge Neutral Dirac Point in Graphene
• Coulomb blockade in graphene nanoribbons
• Dissipative Quantum Hall Effect in Graphene near the Dirac Point
• Spin-Hall effect in triplet chiral superconductors and graphene

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• Band topology and quantum spin Hall effect in bilayer graphene
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• Edge states in graphene-like systems
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• Quantum Spin Hall Effect in Graphene Nanoribbons: Effect of Edge Geometry
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• Optimizing Topological Switching in Confined 2D-Xene Nanoribbons via Finite-Size Effects
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