Exact Solution of a One-Dimensional Multicomponent Lattice Gas with Hyperbolic Interaction

Abstract

We present the exact solution to a one-dimensional multicomponent quantum lattice model interacting by an exchange operator which falls off as the inverse-sinh-square of the distance. This interaction contains a variable range as a parameter, and can thus interpolate between the known solutions for the nearest-neighbor chain, and the inverse-square chain. The energy, susceptibility, charge stiffness and the dispersion relations for low-lying excitations are explicitly calculated for the absolute ground state, as a function of both the range of the interaction and the number of species of fermions.

13 REVTeX pages + 5 uuencoded figures, UoU-0030594

References in corpus (4)

• Lattice Integrable Systems of Haldane-Shastry Type
• Solution of Some Integrable One-Dimensional Quantum Systems
• Invariants of the Haldane-Shastry $SU(N)$ Chain
• Exiton, Spinon and Spin Wave Modes in an Exactly Soluble One-Dimensional Quantum Many-Body System

Cited by in corpus (7)

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• The asymptotic Bethe ansatz solution for one-dimensional SU(2) spinor bosons with finite range Gaussian interactions
• Quantum duality and Bethe-ansatz for the Hofstadter problem on hexagonal lattice
• Conservation laws in the continuum $1/r^2$ systems
• Exact Solution of Heisenberg-liquid models with long-range coupling