Exact ground-state correlation functions of one-dimensional strongly correlated electron models with resonating-valence-bond ground state |
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Authors: | Masanori Yamanaka Shinsuke Honjo Yasuhiro Hatsugai Mahito Kohmoto |
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Institution: | (1) Institute for Solid State Physics, University of Tokyo, 7-22-1, Roppongi, Minato-ku, 106 Tokyo, Japan;(2) Department of Applied Physics, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, 113 Tokyo, Japan |
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Abstract: | We investigate one-dimensional strongly correlated electron models which have the resonating-valence-bond state as the exact ground state. The correlation functions are evaluated exactly using the transfer matrix method for the geometric representations of the valence-bond states. In this method, we only treat matrices with small dimensions. This enables us to give analytical results. It is shown that the correlation functions decay exponentially with distance. The result suggests that there is a finite excitation gap, and that the ground state is insulating. Since the corresponding noninteracting systems may be insulating or metallic, we can say that the gap originates from strong correlation. The persistent currents of the present models are also investigated and found to be exactly vanishing. |
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Keywords: | Strongly correlated electron systems solvable model correlation function Kondo insulator resonating-valence-bond state transfer matrix persistent current |
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