Violation of Luttinger's Theorem in the Two-Dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">t</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">J</mml:mi></mml:math>Model

Abstract

We have calculated the high temperature series for the momentum distribution function ${n}_{\mathbf{k}}$ of the 2D $t\ensuremath{-}J$ model to twelfth order in inverse temperature. By extrapolating the series to $T\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0.2J$ we searched for a Fermi surface of the 2D $t\ensuremath{-}J$ model. We find that three criteria used for estimating the location of a Fermi surface violate Luttinger's theorem, implying that the $t\ensuremath{-}J$ model does not have an adiabatic connection to a noninteracting model.