SO(4) symmetry of the Hubbard model and its experimental consequences
Journal Article
·
· International Journal of Modern Physics B; (United States)
- IBM Research Div., San Jose, CA (United States)
This paper reports on the one band Hubbard model on a bi-partite lattice possess a global SO(4) symmetry group which is a direct product of the spin SU(2) and the pseudospin SU(2) symmetry group. Recently, the group theoretical consequence of this symmetry property has been investigated systematically. It is shown that this symmetry property can be used to reduce the complexity of diagonalizing the Hubbard Hamiltonian, and classify all the eigenstates according to the representation of the SO(4) group. It also leads to an exact one-to-one correspondence of the eigenstates at half-filling to that away from half-filling. Most importantly however, it is shown that this symmetry property leads to a direct experimental prediction for the high Tc superconductivity. If the high Tc superconductivity is correctly described by the Hubbard model, then the SO(4) symmetry dictates the existence of a collective mode that only appears below the superconducting transition temperature.
- OSTI ID:
- 6153165
- Journal Information:
- International Journal of Modern Physics B; (United States), Journal Name: International Journal of Modern Physics B; (United States) Vol. 5:1-2; ISSN 0217-9792; ISSN IJPBE
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
661100 -- Classical & Quantum Mechanics-- (1992-)
665411* -- Basic Superconductivity Studies-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CLASSIFICATION
COLLECTIVE EXCITATIONS
EIGENSTATES
ENERGY-LEVEL TRANSITIONS
EXCITATION
HAMILTONIANS
HIGH-TC SUPERCONDUCTORS
LIE GROUPS
MATHEMATICAL OPERATORS
ORDER PARAMETERS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
SO GROUPS
SO-4 GROUPS
SU GROUPS
SU-2 GROUPS
SUPERCONDUCTORS
SYMMETRY GROUPS
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
665411* -- Basic Superconductivity Studies-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CLASSIFICATION
COLLECTIVE EXCITATIONS
EIGENSTATES
ENERGY-LEVEL TRANSITIONS
EXCITATION
HAMILTONIANS
HIGH-TC SUPERCONDUCTORS
LIE GROUPS
MATHEMATICAL OPERATORS
ORDER PARAMETERS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
SO GROUPS
SO-4 GROUPS
SU GROUPS
SU-2 GROUPS
SUPERCONDUCTORS
SYMMETRY GROUPS
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE