FLOW EQUATIONS APPROACH TO ONE DIMENSIONAL QUANTUM ISING MODEL

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KIANI A.; SHAHBAZI F.; JAFARI S.A.

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Journal: Iranian Journal of Physics Research Year:2011 | Volume:10 | Issue:4 Page(s): 317-327

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Information Journal Paper

Title

FLOW EQUATIONS APPROACH TO ONE DIMENSIONAL QUANTUM ISING MODEL

Author(s)

KIANI A. | SHAHBAZI F. | JAFARI S.A. | Issue Writer Certificate

Keywords

CONTINUOUS UNITARY TRANSFORMATIONS (CUT) METHODQ3

FLOW EQUATIONS METHODQ3

ONE DIMENSIONAL QUANTUM ISING MODELQ3

QUANTUM PHASE TRANSITION (QPT)Q2

Abstract

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 -Jg sxn precisely using a new method called Continuous Unitary Transformations (CUT) or flow equations, and derive its expectation values <sxn>, <szn> and <sxnsxn+j>. Then, we apply this method on ONE DIMENSIONAL QUANTUM ISING MODEL in staggered magnetic field (-1)nJgsxn. 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.

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APA: Copy

KIANI, A., SHAHBAZI, F., & JAFARI, S.A.. (2011). FLOW EQUATIONS APPROACH TO ONE DIMENSIONAL QUANTUM ISING MODEL. IRANIAN JOURNAL OF PHYSICS RESEARCH, 10(4), 317-327. SID. https://sid.ir/paper/1359/en

Vancouver: Copy

KIANI A., SHAHBAZI F., JAFARI S.A.. FLOW EQUATIONS APPROACH TO ONE DIMENSIONAL QUANTUM ISING MODEL. IRANIAN JOURNAL OF PHYSICS RESEARCH[Internet]. 2011;10(4):317-327. Available from: https://sid.ir/paper/1359/en

IEEE: Copy

A. KIANI, F. SHAHBAZI, and S.A. JAFARI, “FLOW EQUATIONS APPROACH TO ONE DIMENSIONAL QUANTUM ISING MODEL,” IRANIAN JOURNAL OF PHYSICS RESEARCH, vol. 10, no. 4, pp. 317–327, 2011, [Online]. Available: https://sid.ir/paper/1359/en

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