SUZUKI-TROTTER DECOMPOSITION AND RENORMALIZATION OF A TRANSVERSE-FIELD ISING-MODEL IN 2 DIMENSIONS

The combined Suzuki-Trotter decomposition and Niemeijer-van Leuween re al-space renormalization-group techniques are used to study the critic al properties of a two-dimensional Ising system with a transverse fiel d. The inverse critical temperature as a function of the external fiel d and the temperature dependence of the transverse component of the ma gnetization are found. It is also shown that any real-space renormaliz ation-group procedure based on the simple generalization of the Niemei jer-van Leeuwen majority rule for one of the components of the total-c ell spin does not preserve the symmetry of the quantum spin space.