Correlated electrons systems on the Apollonian network

Details Correlated electrons systems on the Apollonian network Correlated electrons systems on the Apollonian network

2006-10-04

arxiv.org/abs/cond-mat/0610111v1

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 8 figures

Scientific paper

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.

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