Correlated electrons systems on the Apollonian network
Strongly Correlated Electrons
2015-06-25 v1
Abstract
Strongly correlated electrons on an Apollonian network are studied using the Hubbard model. Ground-state and thermodynamic properties, including specific heat, magnetic susceptibility, spin-spin correlation function, double occupancy and one-electron transfer, are evaluated applying direct diagonalization and quantum Monte Carlo. The results support several types of magnetic behavior. In the strong-coupling limit, the quantum anisotropic spin 1/2 Heisenberg model is used and the phase diagram is discussed using the renormalization group method. For ferromagnetic coupling, we always observe the existence of long-range order. For antiferromagnetic coupling, we find a paramagnetic phase for all finite temperatures.
Cite
@article{arxiv.cond-mat/0610111,
title = {Correlated electrons systems on the Apollonian network},
author = {Andre M. C. Souza and Hans Herrmann},
journal= {arXiv preprint arXiv:cond-mat/0610111},
year = {2015}
}
Comments
7 pages, 8 figures