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    题名: Effect of lattice fluctuations on the quantum phase transition in a one-dimensional commensurate system
    作者: Zheng, H.;Zhu, S. Y.;陳惟堯;Chen, Wei-yeu
    贡献者: 淡江大學物理學系
    日期: 2002-02
    上传时间: 2009-12-31 10:11:34 (UTC+8)
    出版者: Springer
    摘要: The effect of quantum lattice fluctuations on the properties of quantum phase transition in a one-dimensional commensurate system near and at criticality is studied. The nonadiabatic effect due to finite phonon frequency > 0 are treated through an energy-dependent electron-phonon scattering function introduced in a unitary transformation. By using the Green's function perturbation theory we have shown that our theory gives a good description of the effect of quantum lattice fluctuations: (1) At the criticality, when the coupling constant g2 decreases or the phonon frequency increases the lattice distortion and the gap in the fermionic spectrum decreases gradually; at some critical value gc2 or ( )c, the system becomes gapless and the lattice distortion disappears. (2) The calculated density of states do not have the inverse-square-root singularity but have a peak with a significant tail below the peak. (3) At the criticality our approach successfully describes the classical-quantum crossover. In the classical region the adiabatic mean-field parameters may strongly be renormalized by nonadiabatic corrections, and in the quantum region the phase transition is of the signature of a Kosterlitz-Thouless transition. (4) Away from the criticality the critical exponents for the energy gap and the ordering parameter have been calculated.
    關聯: European physical journal B 25(3), pp.299-306
    DOI: 10.1140/epjb/e20020034
    显示于类别:[物理學系暨研究所] 期刊論文


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