Quantum phonons and the peierls transition temperature

H. Zheng; S. Y. Zhu; Wei-Yeu Chen

doi:10.1103/PhysRevB.65.014304

Quantum phonons and the peierls transition temperature

H. Zheng
, S. Y. Zhu
, Wei-Yeu Chen

Department of Physics

Research output: Contribution to journal › 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
Volume	65
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevB.65.014304
Publication status	Published - 1 Jan 2002

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10.1103/PhysRevB.65.014304

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title = "Quantum phonons and the peierls transition temperature",

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.",

author = "H. Zheng and Zhu, \{S. Y.\} and Wei-Yeu Chen",

note = "This work was supported by the FRG of Hong Kong Baptist University and the NSFC of China (Grant No. 10074044). ",

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T1 - Quantum phonons and the peierls transition temperature

AU - Zheng, H.

AU - Zhu, S. Y.

AU - Chen, Wei-Yeu

N1 - This work was supported by the FRG of Hong Kong Baptist University and the NSFC of China (Grant No. 10074044).

PY - 2002/1/1

Y1 - 2002/1/1

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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DO - 10.1103/PhysRevB.65.014304

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SN - 2469-9950

VL - 65

SP - 143041

EP - 143048

JO - Physical Review B

JF - Physical Review B

IS - 1

M1 - 014304

ER -

Quantum phonons and the peierls transition temperature

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