INTERNATIONAL JOURNAL OF MODERN PHYSICS B, vol.24, no.27, pp.5457-5468, 2010 (Journal Indexed in SCI)
Article / Article
Title of Journal :
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
In this work we present a semi-classical transfer matrix method to study one-dimensional modified quantum transverse-field Ising model. Both average magnetization per spin along the z-direction and along the x-direction are calculated in this picture. It is predicted that the t > 1 case is the corresponding effective ferromagnetic phase ( = 1) at sufficiently high H-z whereas t < 1 case is an effective paramagnetic phase ( = 0). Consequently, it is concluded that t = H-z/K = 1, here H-z is the transverse field along the z-axis and K is the coupling strength, which corresponds to quantum ferromagnetic-paramagnetic phase transition. In other words, the same result of the sophisticated quantum field theoretical calculation is predicted unexpectedly in the naive semiclassical picture.