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 equations, and derive its expectation values , and . Then, we apply this method on one dimensional quantum Ising model in staggered magnetic field (-1)nJgσxn. Results show that both models have the same critical properties as expected, and it was also found that spontaneous symmetry breaking cannot be derived from CUT.
Kiani,A. , Shahbazi,F. and Jafari,S. (2019). Flow equations approach to one dimensional quantum Ising model. Iranian Journal of Physics Research, 10(4), 317-327.
MLA
Kiani,A. , , Shahbazi,F. , and Jafari,S. . "Flow equations approach to one dimensional quantum Ising model", Iranian Journal of Physics Research, 10, 4, 2019, 317-327.
HARVARD
Kiani A., Shahbazi F., Jafari S. (2019). 'Flow equations approach to one dimensional quantum Ising model', Iranian Journal of Physics Research, 10(4), pp. 317-327.
CHICAGO
A. Kiani, F. Shahbazi and S. Jafari, "Flow equations approach to one dimensional quantum Ising model," Iranian Journal of Physics Research, 10 4 (2019): 317-327,
VANCOUVER
Kiani A., Shahbazi F., Jafari S. Flow equations approach to one dimensional quantum Ising model. Dear user; Recently we have changed our software to Sinaweb. If you had already registered with the old site, you may use the same USERNAME but you need to change your password. To do so at the first use, please choose, 2019; 10(4): 317-327.
