Exact results of a dimerized S=1 Ising chain with single-ion anisotropy |
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Authors: | Haina Wu Yu Han Guangyu Yi |
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Affiliation: | a College of Sciences, Northeastern University, Shenyang 110006, China b International Center for Material Physics, Academia Sinica, Shenyang 110015, China c Department of Physics, Liaoning University, Shenyang 110036, China |
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Abstract: | The dimerized spin-1 Ising chain with both longitude and transverse single-ion anisotropies Dz and Dx is solved exactly by means of a mapping to the spin- Ising chain with the alternating transverse fields and the Jordan-Wigner transformation. The analytical expressions of the quasi-particles’ spectra Λk, the minimal energy gap Δ0 for exciting a fermion quasi-particle, the minimal energy gap Δh for exciting a hole, and the ground-state energy Eg are obtained. The phase diagram of the ground state is also given. The results show that the system exhibits a series of quantum phase transitions depending on the dimerization strength of the crystal fields, while the quantum critical points are determined exactly. |
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Keywords: | 05.50.+q 64.60.Cn 73.43.Nq |
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