BF-theory in graphene: a route toward topological quantum computing?

Abstract

Besides the plenty of applications of graphene allotropes in condensed matter and nanotechnology, we argue that graphene sheets might be engineered to support room-temperature topological quantum processing of information. The argument is based on the possibility of modeling the monolayer graphene effective action by means of a 3d Topological Quantum Field Theory of BF-type able to sustain non-Abelian anyon dynamics. This feature is the basic requirement of recently proposed theoretical frameworks for fault-tolerant and decoherence protected quantum computation.

Slightly expanded version: added comments in introduction and concluding remarks; results unchanged. Europhysics Letters, in press 2012

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Cited by in corpus (12)

• Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approach
• Abelian Chern-Simons-Maxwell theory from a tight binding model of spinless fermions
• (3+1)-dimensional topological quantum field theory from a tight-binding model of interacting spinless fermions
• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• Topological Electromagnetic Effects and Higher Second Chern Numbers in Four-Dimensional Gapped Phases
• Topological effective field theories for Dirac fermions from index theorem
• Fermionic dualities with axial gauge fields
• Fractonic self-duality and covariant magnetic fractons
• Perturbative BF theory
• Topological Phases for Extended Objects: Semiclassical Phase-Space Approach with Tensorial Coordinates
• Effective Lagrangian for Non-Abelian Two-Dimensional Topological Field Theory
• Quantum geometric tensors from sub-bundle geometry