One dimensional quantum Ising model with nearest neighbor interaction in transverse magnetic field is one of the simplest spin models which undergo quantum phase transition. This model has been precisely solved using different methods. In this paper, we solve this model in uniform magnetic field -Jgσxn precisely using a new method called Continuous Unitary Transformations (CUT) or flow equation...

run-out-table (rot) is located between last finishing stand and down coiler in a hot strip mill. as the hot steel strip passes from rot, water jets impact on it from top and bottom and strip temperature decreases approximately from 800-950 °c to 500-750°c. the temperature history that strip experience while passing through rot affects significantly the metallurgical and mechanical properties, s...

 In this work we investigated the critical properties of the anti-ferromagnetic XY model on a two dimensional Kagome lattice under single-ion easy-axes anisotropy. Employing the mean field theory, we found that this model shows a second order phase transition from disordered to all-in all-out state for any value of anisotropy.

 In various statistical mechanical models, introduction of a metric into space of prameters gives a new perspective to the phase structure. In this paper, the scalar curvature R of this metric for a one dimensional four-state complex spin model is calculated. It is shown that this parameter has a similar behaviour to the Ising and Potts models.