Asymptotic Bethe-Ansatz results for a Hubbard chain with 1/sinh-hopping

Journal Article · Mon May 01 00:00:00 EDT 1995 · Journal of Low Temperature Physics

DOI:https://doi.org/10.1007/BF00752342· OSTI ID:107631

Bares, P A ^[1]; Gebhard, F ^[2]

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1. Institut Laue-Langevin, Grenoble (France)
2. Philipps Univ. Marburg (Germany)

We investigate spin-1/2 electrons with local Hubbard interactions and variable range hopping amplitudes which decay like sinh {kappa}/sinh({kappa}r). Using Sutherlands`s Asymptotic Bethe Ansatz we derive the generalized Lieb-Wu integral equations from the two-particle phase shift. For half-filling we obtain a closed expression for the ground state energy density. Due to the nesting property there is a metal-to-insulator transition at U{sub c}({kappa} > 0) = 0{sup +}. In the singular limit {kappa} = 0 the charge gap opens when the interaction strength equals the bandwidth, U{sub c} ({kappa} = 0) = W.

• Sponsoring Organization: USDOE
• OSTI ID: 107631
• Report Number(s): CONF-9409365-; ISSN 0022-2291; TRN: 95:021341
• Journal Information: Journal of Low Temperature Physics, Vol. 99, Issue 3-4; Conference: International Euroconference on magnetic correlations, metal-insulator-transitions, and superconductivity in novel materials, Wuerzburg (Germany), 26-30 Sep 1994; Other Information: PBD: May 1995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
HUBBARD MODEL
ELECTRON CORRELATION
SPIN
ASYMPTOTIC SOLUTIONS
GROUND STATES
PHASE TRANSFORMATIONS
DISPERSION RELATIONS
SUPERCONDUCTIVITY
ELECTRICAL INSULATORS