Vanishing spectral weight in a one-hole-doped antiferromagnet: A rigorous result
Abstract
By explicitly tracking the Marshall sign, a phase string induced by hopping is revealed in the one-hole-doped t-J model. It is rigorously shown that such a phase string cannot be eliminated through low-lying spin excitations, and it either causes the spectral weight Z=0, or leads to the localization of the doped hole. Implications for finite doping are also discussed.
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