Solitons in the Peierls condensate: Phase solitons

B. Horovitz, J. A. Krumhansl

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


The electron-phonon system in one dimension is studied within the adiabatic (Hartree) and Hartree-Fock approximations. The equations of motion for the Pierls order parameter at zero temperature are derived from a microscopic Hamiltonian and an effective Lagrangian is constructed. Charged phase solitons describe systems whose electron density is at or near M-fold commensurability with M3. For M=2, the order parameter is real in the adiabatic approximation, but becomes complex when both acoustic and optical phonons are coupled, or for a nonadiabatic theory. The latter is studied with a Coulomb exchange force and phase solitons are derived. The soliton charge is 2M for all M2. When M=4, the pinning potential can be anomalously low, in agreement with data on TaS3 and similar compounds.

Original languageEnglish
Pages (from-to)2109-2124
Number of pages16
JournalPhysical Review B
Issue number4
StatePublished - 1 Jan 1984
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics


Dive into the research topics of 'Solitons in the Peierls condensate: Phase solitons'. Together they form a unique fingerprint.

Cite this