On the spectrum of S=1/2 XXX Heisenberg chain with elliptic exchange

Abstract

It is found that the Hamiltonian of S=1/2 isotropic Heisenberg chain with $N$ sites and elliptic non-nearest-neighbor exchange is diagonalized in each sector of the Hilbert space with magnetization $N/2-M$, $1<M\le [N/2]$, by means of double quasiperiodic meromorphic solutions to the $M$-particle quantum Calogero-Moser problem on a line. The spectrum and highest-weight states are determined by the solutions of the systems of transcendental equations of the Bethe-ansatz type which arise as restrictions to particle pseudomomenta.

9 pages, Latex

References in corpus (2)

• Yang-Baxter equation in spin chains with long range interactions
• Critical Properties of Quantum Many-Body Systems with 1/r^2 Interaction

Cited by in corpus (4)

• Wrapping corrections for long range spin chains
• How coordinate Bethe ansatz works for Inozemtsev model
• The deformed Inozemtsev spin chain
• Thermodynamics of Inozemtsev's Elliptic Spin Chain