Q527586
type: Item
instance of: scholarly article
title: An application of the extended global \(\mathrm{SO}(3)\times\mathrm{SO}(3)\times\mathrm U(1)\) symmetry of the Hubbard model on a square lattice: the spinon, \(\eta\)-spinon, and \(c\) fermion description
zbMATH Open document ID: 1360.82011
author: Maria J. Sampaio
author: J. M. P. Carmelo
published in: Symmetry
publication date: 2017-05-12T00:00:00Z
review text: Summary: In this paper we review recent results on the preliminary applications of the new-found extended global \(\mathrm{SO}(3)\times\mathrm{SO}(3)\times\mathrm U(1)\) 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 \(N^2_a\gg 1\) 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 \(\mathrm{La}_2\mathrm{CuO}_4\) is shortly reviewed.
Mathematics Subject Classification ID: 82B10
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 81V70
Mathematics Subject Classification ID: 81P40
zbMATH DE Number: 6714468
zbMATH Keywords: correlated electronic systems
zbMATH Keywords: symmetry representations
zbMATH Keywords: neutron scattering
MaRDI profile type: Publication
Wikidata QID: Q59898571
full work available at URL: sym3040780
OpenAlex ID: W2106919890
DOI: 10.3390/SYM3040780
label: An application of the extended global \(\mathrm{SO}(3)\times\mathrm{SO}(3)\times\mathrm U(1)\) symmetry of the Hubbard model on a square lattice: the spinon, \(\eta\)-spinon, and \(c\) fermion description
description: scientific article; zbMATH DE number 6714468