The Importance of Being Odd

  title={The Importance of Being Odd},
  author={Yu Stroganov},
  • Yu Stroganov
  • Published 2001
In this letter I mainly consider a finite XXZ spin chain with periodic boundary conditions and an odd number of sites. This system is described by Hamiltonian H xxz = − N j=1 {σ x j σ x j+1 + σ y j σ y j+1 + ∆ σ z j σ z j+1 }. As it turns out, the ground state energy is proportional to the number of sites E = −3N/2 for a special value of the asymmetry parameter ∆ = −1/2. The trigonometric polynomial q(u), the zeroes of which are parameters of the ground state Bethe eigenvector, is explicitly… CONTINUE READING
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