# Generalized spin-density-wave state of the Hubbard model for C12 and C60 clusters.

@article{Bergomi1993GeneralizedSS, title={Generalized spin-density-wave state of the Hubbard model for C12 and C60 clusters.}, author={Bergomi and Blaizot and Jolicoeur and Dagotto}, journal={Physical review. B, Condensed matter}, year={1993}, volume={47 9}, pages={ 5539-5542 } }

The one-band Hubbard model at half filling on a truncated tetrahedron (C 12 ) and on the C 60 molecule is studied. Within the Hartree-Fock approximation, we find a magneticlike instability of the «Fermi sea» towards a spin-ordered phase for an intermediate value of the coupling (U/t) c ≃2.6. The ordered phase presents a spin arrangement similar to that of the classical Heisenberg model defined on the same clusters. We study the linear excitations around the Hartree-Fock ground states using the…

## Topics from this paper

## 12 Citations

MAGNETIC PROPERTIES OF HUBBARD CLUSTERS : NONCOLLINEAR SPINS IN N-ATOM CLUSTERS

- Physics
- 1997

The ground-state magnetic properties of clusters with N-atomic sites are studied by solving the single-band Hubbard Hamiltonian in the unrestricted Hartree–Fock approximation. Three-dimensional…

Electron correlations in a C20 fullerene cluster

- Physics
- 2006

Abstract.The ground-state properties of C20 fullerene clusters
are determined in the framework of the Hubbard model by using
lattice density-functional theory (LDFT) and
scaling approximations to…

An analysis of the magnetic ground state in molecules

- Physics
- 1998

We analyse the antiferromagnetic ground state of various fullerenes, namely cluster isomers, in the classical limit of the effective Heisenberg Hamiltonian. The valley structures of the frustrated…

Polyradical character and spin frustration in fullerene molecules: an ab initio non-collinear Hartree-Fock study.

- Chemistry, MedicineThe journal of physical chemistry. A
- 2014

This work considers ab initio non-collinear Hartree-Fock (HF) solutions for representative fullerene systems: the bowl, cage, ring, and pentagon isomers of C20, and the larger C30, C36, C60, C70, and C84 fullerenes.

Noncollinear Magnetic Structures in Small Compact Clusters

- Physics
- 1998

We investigate the properties of complex magnetic structures in small compact clusters including noncollinear arrangements of local magnetic moments, spin density waves and charge density waves. The…

The antiferromagnetic $S=1/2$ Heisenberg model on the C$_{60}$ fullerene geometry

- Physics
- 2020

We solve the quantum-mechanical antiferromagnetic Heisenberg model with spins positioned on vertices of the truncated icosahedron using the density-matrix renormalization group (DMRG). This describes…

Magnetic properties of individual carbon clusters, clusters inside fullerenes and graphitic nanoribbons

- Materials Science
- 2008

Electronic and magnetic properties of all sp2carbon species with N = 10–14 atoms (non-fullerenes clusters, rings, linear chains, zigzag and armchair ribbons) are investigated using many-body schemes.…

Magnetic properties of C60 polymers.

- Materials Science, MedicinePhysical review letters
- 2003

The results suggest a mechanism involving an interplay between structural defects and sp(3) hybridization to be responsible for the origin of this magnetism.