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Document Type: Artigo
Title: Correlated electron systems on the Apollonian network
Authors: Souza, André Maurício Conceição de
Herrmann, Hans Jürgen
Issue Date: Feb-2007
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 techniques. 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. The results support an antiferromagnetic order with a metal-insulator transition for U∕t=11.1 at temperature T=0 and a tendency toward a nonordered phase in the half-filled Hubbard model for any U∕t. We also indicate that the spectral dimension must control the magnetic behavior on the Apollonian network.
Keywords: Apollonian network
Sistemas de elétrons fortemente correlacionados
ISSN: 1550-235X
Publisher / Institution : American Physical Society
Citation: SOUZA, A. M. C.; HERRMANN, Hans. Correlated electron systems on the Apollonian network. Physical Review B, New York, v. 75, n. 5, fev. 2007. Disponível em: <>. Acesso em: 18 abr. 2013.
License: © 2007 The American Physical Society
Appears in Collections:DFI - Artigos de periódicos

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