Strong Correlation Effects in the Fullerene C20

Abstract

The smallest fullerene, dodecahedral C20, is studied using a one band Hubbard model parameterized by U/t. Results are obtained using exact diagonalization of matrices with linear dimensions as large as 5.7 x 10^9, supplemented by quantum Monte Carlo. We report the magnetic and spectral properties of C20 as a function of U/t and investigate electronic pair binding. Solid forms of C20 are studied using cluster perturbation theory and evidence is found for a metal-insulator transition at U ~ 4t. We also investigate the relevance of strong correlations to the Jahn-Teller effect in C20.

5 pages, 5 figures, RevTeX

References in corpus (9)

• Cluster Perturbation Theory for Hubbard models
• The Antiferromagnetic Heisenberg Model on Clusters with Icosahedral Symmetry
• Electronic Transport in Fullerene C20 Bridge Assisted by Molecular Vibrations
• Electron-phonon interaction in the solid form of the smallest fullerene C${}_{20}$
• Electronic Mechanism of Superconductivity in the Cuprates, C${}_{60}$, and Polyacenes
• Single-particle Excitation Spectra of C${}_{60}$ Molecules and Monolayers
• Superconductivity in hole-doped C60 from electronic correlations
• QMC Calculation of the Electronic Binding Energy in a C60 Molecule
• Electron correlations in a C${}_{20}$ fullerene cluster: A lattice density-functional study of the Hubbard model

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• Polyradical character and spin frustration in fullerene molecules: An ab initio non-collinear Hartree--Fock study
• The $s=1/2$ Antiferromagnetic Heisenberg Model on Fullerene-Type Symmetry Clusters
• The antiferromagnetic $S=1/2$ Heisenberg model on the ${\text{C}}_{60}$ fullerene geometry
• Electronic Pair-Binding and Hund's Rule Violations in Doped $C_{60}$
• Estimates of Effective Hubbard Model Parameters for C20 isomers
• Competition between structural distortion and magnetic moment formation in fullerene C${}_{20}$
• Extended Hubbard model on a C${}_{20}$ molecule
• Magnetic properties of alternating Hubbard ladders
• Noncoplanar and chiral spin states on the way towards Néel ordering in fullerene Heisenberg models
• Quantum dimer model on fullerenes: resonance, scarring and confinement
• On the forbidden graphene's ZO (out-of-plane optic) phononic band-analog vibrational modes in fullerenes