Approximations of the Green's Function in Multiple Scattering Theory for Crystalline Systems
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910743615504384 |
|---|---|
| author | Li, Xiaoxu Chen, Huajie |
| author_facet | Li, Xiaoxu Chen, Huajie |
| contents | The multiple scattering theory (MST) is a Green's function method that has been widely used in electronic structure calculations for crystalline disordered systems. The key property of the MST method is the scattering path matrix (SPM) that characterizes the Green's function within a local solution representation. This paper studies various approximations of the SPM, under the condition that an appropriate reference is used for perturbation. In particular, we justify the convergence of the SPM approximations with respect to the size of scattering region and the length of scattering path, which are the central numerical parameters to achieve a linear-scaling MST method. We present numerical experiments on several typical systems to support the theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_05713 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Approximations of the Green's Function in Multiple Scattering Theory for Crystalline Systems Li, Xiaoxu Chen, Huajie Computational Physics Numerical Analysis The multiple scattering theory (MST) is a Green's function method that has been widely used in electronic structure calculations for crystalline disordered systems. The key property of the MST method is the scattering path matrix (SPM) that characterizes the Green's function within a local solution representation. This paper studies various approximations of the SPM, under the condition that an appropriate reference is used for perturbation. In particular, we justify the convergence of the SPM approximations with respect to the size of scattering region and the length of scattering path, which are the central numerical parameters to achieve a linear-scaling MST method. We present numerical experiments on several typical systems to support the theory. |
| title | Approximations of the Green's Function in Multiple Scattering Theory for Crystalline Systems |
| topic | Computational Physics Numerical Analysis |
| url | https://arxiv.org/abs/2310.05713 |