Phys. Rev. 128, 2131–2135 (1962)Spin-Wave Spectrum of the Antiferromagnetic Linear ChainReceived 30 July 1962; published in the issue dated December 1962 The methods of Bethe and Hulthén are used to build spin-wave states for the antiferromagnetic linear chain. These states, of spin 1 and translational quantum number k, are eigenstates of the Hamiltonian H=ΣjSj·Sj+1 with periodic boundary conditions. For an infinite chain, their spectrum is εk=(π/2)|sink|, whereas Anderson's spin-wave theory gives εk=|sink|. 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. © 1962 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRev.128.2131
DOI:
10.1103/PhysRev.128.2131
PACS:
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.