Asymptotic anatomy of the Berry phase for scalar waves in two-dimensional periodic continua
文献类型：期刊论文
| 作者 | Guzina, Bojan B.1; Oudghiri-Idrissi, Othman1; Meng, Shixu2
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| 刊名 | PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
 |
| 出版日期 | 2022-06-29 |
| 卷号 | 478期号:2262页码:28 |
| 关键词 | Berry phase asymptotic model scalar wave equation Berry phase computation |
| ISSN号 | 1364-5021 |
| DOI | 10.1098/rspa.2022.0110 |
| 英文摘要 | We deploy an asymptotic model for the interaction between nearby dispersion surfaces and respective eigenstates towards explicit evaluation of the Berry phase governed by the scalar wave equation in two-dimensional periodic media. The model, featuring a pair of coupled Dirac equations, entails a four-dimensional parametric space and endows the interacting Bloch eigenstates with an explicit gauge that caters for analytical integration in the wavenumber domain. Among the featured parameters, the one (s & ISIN;[0,12]) that synthesizes the phase information on the coupling term is shown to decide whether the Berry connection round the loop is singular (s=0) or analytic (s > 0). The analysis demonstrates that the Berry phase for two-dimensional lattices is pi-quantal and topological when s=0, equalling pi when the contour encloses a Dirac point and zero in all other situations (avoided crossings or line crossings). The analogous result is obtained, up to an O(s) residual, when s is an element of 0 and similarly for s is an element of 1/2. In the interior of the s-domain, we find that the Berry phase either approximately equals pi or is not quantal. Beyond shedding light on the anatomy of the Berry phase in periodic continua, the analysis carries a practical benefit as it permits a single-wavenumber evaluation of this geometrical phase quantity. The asymptotic estimates of the Berry phase are found to be in agreement with their numerical counterparts. For generality, we also include an application to a Dirac-like, three-energy-level system. |
| 资助项目 | endowed Shimizu Professorship |
| WOS研究方向 | Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000814685100002 |
| 出版者 | ROYAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61241]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Guzina, Bojan B. |
| 作者单位 | 1.Univ Minnesota, Dept Civil Environm & Geoengn, Minneapolis, MN 55405 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guzina, Bojan B.,Oudghiri-Idrissi, Othman,Meng, Shixu. Asymptotic anatomy of the Berry phase for scalar waves in two-dimensional periodic continua[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2022,478(2262):28. |
| APA | Guzina, Bojan B.,Oudghiri-Idrissi, Othman,&Meng, Shixu.(2022).Asymptotic anatomy of the Berry phase for scalar waves in two-dimensional periodic continua.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,478(2262),28. |
| MLA | Guzina, Bojan B.,et al."Asymptotic anatomy of the Berry phase for scalar waves in two-dimensional periodic continua".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 478.2262(2022):28. |
入库方式： OAI收割
来源：数学与系统科学研究院
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