Quantum phonons and the peierls transition temperature

H. Zheng; H. Zheng; Shi Yao ZHU; S. Y. Zhu; Wei Yeu Chen

doi:10.1103/PhysRevB.65.014304

Quantum phonons and the peierls transition temperature

H. Zheng, H. Zheng, Shi Yao ZHU, S. Y. Zhu, Wei Yeu Chen

Department of Physics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The effect of quantum phonons on the Peierls transition temperature in a one-dimensional commensurate system is studied. The nonadiabatic effect due to finite phonon frequency ω_p>0 are treated through an energy-dependent electron-phonon scattering function δ(k′, k). By using the Green's-function perturbation theory we have shown that our theory gives a good description of the effect of quantum phonons: (i) There exists a critical electron-phonon coupling g_c². The Peierls transition temperature T_p=0 when the coupling g²<g_c² and T_p increases with increasing g²>g_c². (ii) The ratio 2Δ/T_p could be much larger than the BCS value 3.527.

Original language	English
Article number	014304
Pages (from-to)	143041-143048
Number of pages	8
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	65
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevB.65.014304
Publication status	Published - 1 Jan 2002

Scopus Subject Areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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abstract = "The effect of quantum phonons on the Peierls transition temperature in a one-dimensional commensurate system is studied. The nonadiabatic effect due to finite phonon frequency ωp>0 are treated through an energy-dependent electron-phonon scattering function δ(k′, k). By using the Green's-function perturbation theory we have shown that our theory gives a good description of the effect of quantum phonons: (i) There exists a critical electron-phonon coupling gc2. The Peierls transition temperature Tp=0 when the coupling g2c2 and Tp increases with increasing g2>gc2. (ii) The ratio 2Δ/Tp could be much larger than the BCS value 3.527.",

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AU - ZHU, Shi Yao

AU - Zhu, S. Y.

AU - Chen, Wei Yeu

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N2 - The effect of quantum phonons on the Peierls transition temperature in a one-dimensional commensurate system is studied. The nonadiabatic effect due to finite phonon frequency ωp>0 are treated through an energy-dependent electron-phonon scattering function δ(k′, k). By using the Green's-function perturbation theory we have shown that our theory gives a good description of the effect of quantum phonons: (i) There exists a critical electron-phonon coupling gc2. The Peierls transition temperature Tp=0 when the coupling g2c2 and Tp increases with increasing g2>gc2. (ii) The ratio 2Δ/Tp could be much larger than the BCS value 3.527.

AB - The effect of quantum phonons on the Peierls transition temperature in a one-dimensional commensurate system is studied. The nonadiabatic effect due to finite phonon frequency ωp>0 are treated through an energy-dependent electron-phonon scattering function δ(k′, k). By using the Green's-function perturbation theory we have shown that our theory gives a good description of the effect of quantum phonons: (i) There exists a critical electron-phonon coupling gc2. The Peierls transition temperature Tp=0 when the coupling g2c2 and Tp increases with increasing g2>gc2. (ii) The ratio 2Δ/Tp could be much larger than the BCS value 3.527.

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Quantum phonons and the peierls transition temperature

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