Analytical study of the layered XY model with VCE method

Motivated by experiments on liquid-crystal films, we study the development of specific heat anomaly of finite layer system. With the VCE method, we in troduce the strong surface interaction into the layered XY model and get th e results of the forth-order analytical expansion. The results show that wh en the strong surface interaction becomes strong enough, the order trend de feats the quantum noise and the specific heat peak moves abnormally to the high temperature with the number of layers decreasing.