## Abstract

The one-dimensional quantum sine-Gordon Hamiltonian with a density rho _{s} of solitons is studied. rho _{s}( mu ) is the order parameter for the lock-in transition, which happens when the chemical potential mu equals the single soliton energy and temperature is T=0. The soliton density rho _{s}( mu ,T) and the critical behaviour at T=0 are studied in the classical limit (quantum coupling beta to 0) and in the quantum system with beta ^{2}=4 pi ; the critical exponent for rho _{s} is 0 and ^{1}/_{2} respectively. An important application of these results is the temperature dependence of an incommensurate charge transfer rho _{e} in one-dimensional conductors due to Umklapp scattering. rho _{e}(T) can be determined by the function rho _{s}( mu ,T).

Original language | English |
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Article number | 002 |

Pages (from-to) | 161-173 |

Number of pages | 13 |

Journal | Journal of Physics C: Solid State Physics |

Volume | 15 |

Issue number | 2 |

DOIs | |

State | Published - 1 Dec 1982 |

Externally published | Yes |

## ASJC Scopus subject areas

- Condensed Matter Physics
- General Engineering
- General Physics and Astronomy