A TRANSVERSE XY MODEL WITH NEXT NEAREST NEIGHBOUR INTERACTIONS
- 1 January 1989
- journal article
- Published by Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences in Acta Physica Sinica
- Vol. 38 (4) , 645-647
- https://doi.org/10.7498/aps.38.645
Abstract
We generalize the transverse XY model to the case with NNN interactions. The Hamiltonian is H=g∑nσn2-∑n ((1+γ)/2σnxσn+1x+(1-γ)/2σnyσn+1y)-λ∑n ((1+β)/2σnxσn+2x+(1-β)/2σnyσn+2y). It is shown that the model with β=0 and γ≠0 isequivalent to the free fermion field in the vicinity of critical point, so that it belongs to the Ising universality class.Keywords
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