Commensurate-Incommensurate Cross-Over in the One-Dimensional Quantum Sine-Gordon System (g^2=4π). II : Dynamical Properties : Condensed Matter and Statistical Physics

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概要

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• The dynamical behavior of the one-dimensional quantum sine-Gordon system with a misfit parameter is investigated at a particular value of the quantum parameter g^2 = 4π. For this purpose the dynamical correlation functions are calculated by using the Fermi-Bose relation. From the behavior of the displacement correlation function we find that the thermal velocity is given by 〜√<T/m_0> in the commensurate state (m_0-|μ^^~|≫T) or in the cross-over region (m_0 <sime>|μ^^~|≫T) and approaches value 1 as T or |μ^^~| is increased. Here m_0 and μ^^~, respectively, are the gap and the chemical potential in the corresponding fermion system. For the case of density-density correlation function, we give in the commensurate state expressions which are similar to those derived on the basis of the soliton phenomenology in the classical system. A particular case of the density-density correlation function is discussed in detail by following another route.

• 理論物理学刊行会の論文
• 1984-09-25

著者

• Yamamoto Hikaru

  Guelph-waterloo Program For Graduate Work In Physics Department Of Physics University Of Waterloo

• YAMAMOTO Hisashi

  Research Institute for Theoretical Physics Hiroshima University

• Yamamoto H

  Department Of Management Engineering Faculty Of Science And Technology Teikyo University Of Science

• Nagi A.d.s.

  Guelph-waterloo Program For Graduate Work In Physics Department Of Physics University Of Waterloo

• YAMAMOTO Hiroaki

  Department of Physics, University of Tokyo

• YAMAMOTO Hikaru

  Depart of Physics, Kyoto University

• NAGI A.D.S.

  Guelph-Waterloo Program for Graduate Work in Physics Department of Physics, University of Waterloo

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