Singular behavior of the Debye-Waller factor of graphene

被引：71

作者：

Tewary, V. K. ^{[1
]}

Yang, B. ^{[2
]}

机构：

[1] Natl Inst Stand & Technol, Div Mat Reliabil, Boulder, CO 80305 USA

[2] Florida Inst Technol, Dept Mech & Aerosp Engn, Melbourne, FL 32901 USA

来源：

PHYSICAL REVIEW B | 2009年 / 79卷 / 12期

关键词：

Debye temperature; Debye-Waller factors; graphene; mean square error methods; phonons; GRAPHITE INTERCALATION COMPOUNDS;

D O I：

10.1103/PhysRevB.79.125416

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

It is shown that the mean-square displacement or the exponent of the Debye-Waller factor of graphene has a singularity except at zero temperature. The zero-temperature values of the mean-square displacement are calculated separately for planar and out-of-plane phonon modes for graphene. These values give the Debye-Waller factor that can be used to model various scattering processes at temperatures much lower than the Debye temperature of graphene. Since the Debye temperature of graphene is about 2300 K for planar modes, the calculated values should provide a useful estimate of the Debye-Waller factor at temperatures of practical interest. Finally, it is shown qualitatively that the singularity can be removed by accounting for the finite size of real graphene crystals.

引用

页数：5

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