Symmetries of an extended Hubbard Model

Bianca Cerchiai; Peter Schupp

Banach Center Publications (1997)

  • Volume: 40, Issue: 1, page 361-368
  • ISSN: 0137-6934

Abstract

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The Hamiltonian for an extended Hubbard model with phonons as introduced by A. Montorsi and M. Rasetti is considered on a D-dimensional lattice. The symmetries of the model are studied in various cases. It is shown that for a certain choice of the parameters a superconducting S U q ( 2 ) holds as a true quantum symmetry, but only for D=1.

How to cite

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Cerchiai, Bianca, and Schupp, Peter. "Symmetries of an extended Hubbard Model." Banach Center Publications 40.1 (1997): 361-368. <http://eudml.org/doc/252184>.

@article{Cerchiai1997,
abstract = {The Hamiltonian for an extended Hubbard model with phonons as introduced by A. Montorsi and M. Rasetti is considered on a D-dimensional lattice. The symmetries of the model are studied in various cases. It is shown that for a certain choice of the parameters a superconducting $SU_q(2)$ holds as a true quantum symmetry, but only for D=1.},
author = {Cerchiai, Bianca, Schupp, Peter},
journal = {Banach Center Publications},
keywords = {quantum group symmetry; extended Hubbard model; superconducting ; quantum symmetry},
language = {eng},
number = {1},
pages = {361-368},
title = {Symmetries of an extended Hubbard Model},
url = {http://eudml.org/doc/252184},
volume = {40},
year = {1997},
}

TY - JOUR
AU - Cerchiai, Bianca
AU - Schupp, Peter
TI - Symmetries of an extended Hubbard Model
JO - Banach Center Publications
PY - 1997
VL - 40
IS - 1
SP - 361
EP - 368
AB - The Hamiltonian for an extended Hubbard model with phonons as introduced by A. Montorsi and M. Rasetti is considered on a D-dimensional lattice. The symmetries of the model are studied in various cases. It is shown that for a certain choice of the parameters a superconducting $SU_q(2)$ holds as a true quantum symmetry, but only for D=1.
LA - eng
KW - quantum group symmetry; extended Hubbard model; superconducting ; quantum symmetry
UR - http://eudml.org/doc/252184
ER -

References

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  1. [1] J. Hubbard, Proc. R. Soc. London A 276 (1963) 238. 
  2. [2] C. N. Yang, S. C. Zhang, Mod. Phys. Lett. B 4 (1990) 759. 
  3. [3] C. N. Yang, Phys. Rev. Lett. 63 (1989) 2144. 
  4. [4] A. Montorsi, M. Rasetti, Phys. Rev. Lett. 72 (1994) 1730. 
  5. [5] B. L. Cerchiai, P. Schupp, On Quantum Groups in the Hubbard Model with Phonons, J. Phys. A, in press. Zbl0916.17030
  6. [6] T. Holstein, Ann. Phys. 8 (1959) 325. 
  7. [7] A. L. Fetter, J. D. Walecka, Quantum Theory of Many Particle Systems, (McGraw Hill, New York, 1971) p. 396. 
  8. [8] S. Robaszkiewicz, R. Micnas, J. Ranninger, Phys. Rev. B36 (1987) 180. 
  9. [9] I. G. Lang, Y. A. Firsov, Sov. Phys. JETP 16 (1963) 1301. 
  10. [10] S. Barišić, J. Labbé, J. Friedel, Phys. Rev. Lett. 25 (1970) 919. 
  11. [11] M. Jimbo, Lett. Math. Phys. 11 (1986) 247. 

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