Effect of lattice fluctuations on the quantum phase transition in a one-dimensional commensurate system
學年 90
學期 2
出版（發表）日期 2002-02-01
作品名稱 Effect of lattice fluctuations on the quantum phase transition in a one-dimensional commensurate system
作品名稱（其他語言）
著者 Zheng, H.; Zhu, S. Y.; 陳惟堯; Chen, Wei-yeu
單位 淡江大學物理學系
出版者 Springer
著錄名稱、卷期、頁數 European physical journal B 25(3), pp.299-306
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.
關鍵字
語言 en
ISSN 1434-6028
期刊性質 國外
收錄於
產學合作
通訊作者
審稿制度 否
國別 DEU
公開徵稿
出版型式 ,紙本
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