Abstract
Whether Peierls distortion occurs for a system of one-dimensional spinless fermions is determined by the exponent g that characterizes the decay of correlations among the electrons in the undistorted state. Noninteracting electrons (g=1) is the marginal case, for which the Peierls effect just barely occurs. For repulsive interactions between the electrons (g1) the instability is enhanced and the leading dependence of the ground-state energy E on the lattice distortion \ensuremath{\delta} is E\ensuremath{\propto}-\ensuremath{\delta}${\mathrm{}}^{2/(2\mathrm{\ensuremath{-}}\mathit{g})}$. For attractive interactions (g\ensuremath{\gtrsim}1) a continuous phase transition between a normal metal and a Peierls insulator takes place for sufficiently strong electron-ion interaction. \textcopyright{} 1996 The American Physical Society.
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