Exact representation of the large-[ital U] Hubbard model and its application

Journal Article · Sun Jan 01 04:00:00 EST 1995 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.51.234· OSTI ID:6712639

Wang, Y R ^[1]

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1. Xerox Webster Research Center, 0114-41D, Webster, New York 14580 (United States)

An exact representation of the large-[ital U] Hubbard model is developed in terms of fermionic holon, fermionic doublon, and local spin operators which requires no constraint between the charge and spin operators. The Hamiltonian in the new representation explicitly expresses the Nagaoka theorem, and there is an exact one to one correspondence between the new representation and the large-[ital U] Lieb-Wu wave function for the case of one dimension. Using the new representation, we further show that the signature of spin-charge separation, in any dimension, is the characteristic wave vector 2[bold k][sub [ital F]][sup SF] in the static density-density correlation function ([bold k][sub [ital F]][sup SF] encloses a Fermi volume filled by 1[minus][ital x] spinless fermions per site, where [ital x] is the doping concentration). In addition, we derive the corresponding representation for the [ital t]-[ital J]-[ital J][prime] model, where the [ital J][prime] term describes the indirect hopping of the electrons, and the holon (doublon) propagator which explicitly shows the dependence of charge propagation on the spin state.

• OSTI ID: 6712639
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 51:1; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665400* -- Quantum Physics Aspects of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
CORRELATION FUNCTIONS
CRYSTAL MODELS
ELEMENTARY PARTICLES
ENERGY LEVELS
FERMI LEVEL
FERROMAGNETISM
FUNCTIONS
HAMILTONIANS
HOLES
HUBBARD MODEL
MAGNETISM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM OPERATORS
SPIN