SpinWave Spectrum of the Antiferromagnetic Linear Chain
Abstract
The methods of Bethe and Hulthén are used to build spinwave states for the antiferromagnetic linear chain. These states, of spin 1 and translational quantum number k, are eigenstates of the Hamiltonian H=jS_{j}.S_{j+1} with periodic boundary conditions. For an infinite chain, their spectrum is ɛ_{k}=(π2)k, whereas Anderson's spinwave theory gives ɛ_{k}=k. For finite chains it has been verified by numerical computation that these states are the lowest states of given k, but no rigorous proof has been given for an infinite chain.
 Publication:

Physical Review
 Pub Date:
 December 1962
 DOI:
 10.1103/PhysRev.128.2131
 Bibcode:
 1962PhRv..128.2131D