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2012 | 10 | 4 | 906-912
Article title

On the SU(2)×SU(2) symmetry in the Hubbard model

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Abstracts
EN
We discuss the one-dimensional Hubbard model, on finite sites spin chain, in context of the action of the direct product of two unitary groups SU(2)×SU(2). The symmetry revealed by this group is applicable in the procedure of exact diagonalization of the Hubbard Hamiltonian. This result combined with the translational symmetry, given as the basis of wavelets of the appropriate Fourier transforms, provides, besides the energy, additional conserved quantities, which are presented in the case of a half-filled, four sites spin chain. Since we are dealing with four elementary excitations, two quasiparticles called “spinons”, which carry spin, and two other called “holon” and “antyholon”, which carry charge, the usual spin-SU(2) algebra for spinons and the so called pseudospin-SU(2) algebra for holons and antiholons, provide four additional quantum numbers.
Publisher

Journal
Year
Volume
10
Issue
4
Pages
906-912
Physical description
Dates
published
1 - 8 - 2012
online
17 - 7 - 2012
Contributors
  • Department of Physics, Rzeszów University of Technology, al. Powstańców Warszawy 12, 35-959, Rzeszów, Poland, djak@prz.edu.pl
  • Institute of Physics, University of Rzeszów, ul. Rejtana 16C, 35-910, Rzeszów, Poland, pjakub@univ.rzeszow.pl
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-012-0055-6
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