Physics – Condensed Matter
Scientific paper
1995-12-09
J. Statistical Physics 84, 1133 (1996)
Physics
Condensed Matter
59 pages, REVTeX 3.0, Figures are available on request
Scientific paper
10.1007/BF02174131
We investigate the 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 non-interacting 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.
Hatsugai Yasuhiro
Honjo Shinsuke
Kohmoto Mahito
Yamanaka Masanori
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