One-dimensional transverse-field Ising model in a complex longitudinal field from a real-space renormalization-group method at T=0
Katarina Uzelac, Rémi Jullien, Pierre M. Pfeuty
The ground state of the quantum one-dimensional transverse-field Ising model in a longitudinal field is studied using a real-space renormalization-group method. The longitudinal magnetization in the ground state is calculated. Considering a real longitudinal field, this study provides an indirect investigation of the equation of state of the equivalent classical two-dimensional Ising model. Considering then the case of a purely imaginary longitudinal field, a new critical behavior is found which corresponds to the Yang-Lee edge singularity of the classical equivalent. In this last case the details of calculations and results are given, published earlier in a letter form.
Physical review. B, Condensed matter•Jul 1, 1980•15 citations