ダウンロード数: 68
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
PhysRevResearch.5.013112.pdf | 2.13 MB | Adobe PDF | 見る/開く |
タイトル: | Relationship between two-particle topology and fractional Chern insulator |
著者: | Okuma, Nobuyuki Mizoguchi, Tomonari |
著者名の別形: | 大熊, 信之 |
キーワード: | Chern insulators Fractional quantum Hall effect Topological order Exact diagonalization Condensed Matter, Materials & Applied Physics |
発行日: | Feb-2023 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review Research |
巻: | 5 |
号: | 1 |
論文番号: | 013112 |
抄録: | Lattice generalizations of fractional quantum Hall (FQH) systems, called fractional Chern insulators (FCIs), have been extensively investigated in strongly correlated systems. Despite many efforts, previous studies have not revealed all of the guiding principles for the FCI search. In this paper, we investigate a relationship between the topological band structure in the two-particle problem and the FCI ground states in the many-body problem. We first formulate the two-particle problem of a bosonic on-site interaction projected onto the lowest band of a given tight-binding Hamiltonian. We introduce a reduced Hamiltonian whose eigenvalues correspond to the two-particle bound-state energies. By using the reduced Hamiltonian, we define the two-particle Chern number and numerically check the bulk-boundary correspondence that is predicted by the two-particle Chern number. We then propose that a nontrivial two-particle Chern number of dominant bands roughly indicates the presence of bosonic FCI ground states at filling factor ν=1/2. We numerically investigate this relationship in several tight-binding models with Chern bands and find that it holds well in most of the cases, albeit two-band models being exceptions. Although the two-particle topology is neither a necessary nor a sufficient condition for the FCI state as other indicators in previous studies, our numerical results indicate that the two-particle topology characterizes the degree of similarity to the FQH systems. |
著作権等: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. |
URI: | http://hdl.handle.net/2433/281685 |
DOI(出版社版): | 10.1103/physrevresearch.5.013112 |
出現コレクション: | 学術雑誌掲載論文等 |
![](/dspace/image/articlelinker.gif)
このアイテムは次のライセンスが設定されています: クリエイティブ・コモンズ・ライセンス