Extracting the Single-Particle Gap in Carbon Nanotubes with Lattice Quantum Monte Carlo

Abstract

We show how lattice Quantum Monte Carlo simulations can be used to calculate electronic properties of carbon nanotubes in the presence of strong electron-electron correlations. We employ the path integral formalism and use methods developed within the lattice QCD community for our numerical work and compare our results to empirical data of the Anti-Ferromagnetic Mott Insulating gap in large diameter tubes.

8 pages, 5 figures, Lat2017 proceeding

References in corpus (3)

• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Monte-Carlo study of the electron transport properties of monolayer graphene within the tight-binding model
• Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions

Cited by in corpus (5)

• Hybrid-Monte-Carlo study of competing order in the extended fermionic Hubbard model on the hexagonal lattice
• Numerical evidence of conformal phase transition in graphene with long-range interactions
• The Antiferromagnetic Character of the Quantum Phase Transition in the Hubbard Model on the Honeycomb Lattice
• Avoiding Ergodicity Problems in Lattice Discretizations of the Hubbard Model
• The Hubbard Model on the Honeycomb Lattice with Hybrid Monte Carlo