PHASON ELASTICITY OF A 3-DIMENSIONAL QUASI-CRYSTAL - A TRANSFER-MATRIX METHOD

被引:23
作者
NEWMAN, MEJ
HENLEY, CL
机构
[1] Laboratory of Atomic and Solid-State Physics, Cornell University, Ithaca
来源
PHYSICAL REVIEW B | 1995年 / 52卷 / 09期
关键词
D O I
10.1103/PhysRevB.52.6386
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We introduce a transfer-matrix method for calculating the thermodynamic properties of randomtiling models of quasicrystals in any number of dimensions, and describe how it may be used to calculate the phason elastic properties of these models, which are related to experimental measurables such as phason Debye-Waller factors, and diffuse scattering wings near Bragg peaks. We apply our method to the canonical-cell model of the icosahedral phase, making use of results from a previously presented calculation in which the possible structures for this model under specific periodic boundary conditions were cataloged using a computational technique. We give results for the configurational entropy density and the two fundamental elastic constants for a range of system sizes. The method is general enough to allow a similar calculation to be performed for any other random-tiling model.
引用
收藏
页码:6386 / 6399
页数:14
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