Vanishing spectral weight in a one-hole-doped antiferromagnet: A rigorous result

Physics – Condensed Matter

Scientific paper

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11 pages, Revtex, no figures; submitted to PRL

Scientific paper

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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