SU(8) model for the unification of superconductivity, charge, and spin density waves

Journal Article · Wed Jul 01 00:00:00 EDT 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527816· OSTI ID:6779839

Solomon, A I; Birman, J L

A model Hamiltonian for a many-electron system which unifies superconductivity, charge density waves, and spin density waves is analyzed. It is shown that the spectrum generating algebra for this system is su(8), and all 63 generators of this Lie algebra are identified. The seven symmetry operators that are broken in transition to the condensed state are identified, together with 56 order operators, whose expectations give the order parameters of the various phases present in the model. The discrete symmetry properties of these operators are tabulated. A chain of subalgebras of submodels with corresponding decoupled phases is constructed. Finally, how the finite temperature Green's functions may be obtained and used to solve the problem of self-consistency of the order parameters in the model is indicated.

• Research Organization: Institute for Scientific Interchange, 10133 Torino, Italy
• OSTI ID: 6779839
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 28:7
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
SUPERCONDUCTIVITY
MATHEMATICAL MODELS
ALGEBRA
CHARGE DENSITY
GREEN FUNCTION
GROUP THEORY
HAMILTONIANS
LIE GROUPS
MATHEMATICAL OPERATORS
QUANTUM MECHANICS
SU GROUPS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FUNCTIONS
MATHEMATICS
MECHANICS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
SYMMETRY GROUPS
656100* - Condensed Matter Physics- Superconductivity