doi:10.1080/14786435.2011.614644">
 

Title

The ground state of XY chains with nearest and next-nearest neighbour interactions

Document Type

Article

Publication Date

2012

Department/School

Physics and Astronomy

Abstract

The ground state of chains with antiferromagnetic XY interactions is examined by direct diagonalisation of the Hamiltonian. Attention is focussed on chains with nearest and next-nearest neighbour interactions. It is found that results for finite chains can be readily extrapolated to infinite chains. The dimerised ground state corresponds to a maximum in the energy per spin with respect to the next-nearest neighbour interaction parameter. An alternate normalisation scheme provides additional insight into how the ground state energy depends on the interaction parameters.

Link to Published Version

doi:10.1080/14786435.2011.614644