• Submit to Symmetry Login Register
• MDPI
• Journals A-Z
• For Authors
• For Editors
• About
• Open Access Policy

• Abstract
• Full-Text PDF [582 KB]

• Article Statistics
• Google Scholar
• Order Reprints

• Cite this article
• Export to BibTeX
• Export to EndNote

• [+] on DOAJ
• Carmelo, J
• Sampaio, M
• [+] on Google Scholar
• Carmelo, J
• Sampaio, M
• [+] on PubMed
• Carmelo, J
• Sampaio, M

•  CiteULike
•  Facebook
•  Mendeley
•  Twitter

This article is

• freely available
• re-usable

Symmetry 2011, 3(4), 780-827; doi:10.3390/sym3040780

Article

An Application of the Extended Global SO(3) × SO(3) × U(1) Symmetry of the Hubbard Model on a Square Lattice: The Spinon, η-Spinon, and c Fermion Description

Jose M. P. Carmelo ^1,2,*  and Maria J. Sampaio ¹

¹ Center of Physics, University of Minho, Campus Gualtar, P-4710-057 Braga, Portugal ² Institut für Theoretische Physik III, Universität Stuttgart, D-70550 Stuttgart, Germany

* Author to whom correspondence should be addressed.

Received: 17 October 2011; in revised form: 24 November 2011 / Accepted: 30 November 2011 / Published: 12 December 2011

(This article belongs to the Special Issue Symmetries of Electronic Order)

Download PDF Full-Text [582 KB, Updated Version, uploaded 15 December 2011 08:35 CET]

The original version is still available [588 KB, uploaded 12 December 2011 09:04 CET]

Abstract: In this paper we review recent results on the preliminary applications of the new-found extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a bipartite lattice. Our results refer to the particular case of the bipartite square lattice. Specifically, we review a general description for such a model with nearest-neighbor transfer integral t and on-site repulsion U on a square lattice with N²_a 1 sites consistent with its extended global symmetry. It refers to three types of elementary objects whose occupancy configurations generate the state representations of the model extended global symmetry. Such objects emerge from a suitable electron-rotated-electron unitary transformation. An application to the spin spectrum of the parent compound La₂CuO₄ is shortly reviewed.

Keywords: correlated electronic systems; symmetry representations; neutron scattering

Article Statistics

Cite This Article