Peierls instability of a one-dimensional quantum liquid

Eugene B. Kolomeisky, Joseph P. Straley

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 (g<1) the instability is enhanced and the leading dependence of the ground-state energy E on the lattice distortion δ is E∝-δ(Formula presented). For attractive interactions (g≳1) a continuous phase transition between a normal metal and a Peierls insulator takes place for sufficiently strong electron-ion interaction.

Original languageEnglish
Pages (from-to)12553-12555
Number of pages3
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number19
StatePublished - 1996

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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