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Rigorous Results Concerning the Holstein-Hubbard Model
| Title: | Rigorous Results Concerning the Holstein-Hubbard Model |
| Authors: | Miyao, Tadahiro Browse this author |
| Issue Date: | Jan-2017 |
| Publisher: | Springer |
| Journal Title: | Annales Henri Poincaré |
| Volume: | 18 |
| Issue: | 1 |
| Start Page: | 193 |
| End Page: | 232 |
| Publisher DOI: | 10.1007/s00023-016-0506-5 |
| Abstract: | The Holstein model has widely been accepted as a model comprising electrons interacting with phonons; analysis of this model's ground states was accomplished two decades ago. However, the results were obtained without completely taking repulsive Coulomb interactions into account. Recent progress has made it possible to treat such interactions rigorously; in this paper, we study the Holstein-Hubbard model with repulsive Coulomb interactions. The ground-state properties of the model are investigated; in particular, the ground state of the Hamiltonian is proven to be unique for an even number of electrons on a bipartite connected lattice. In addition, we provide a rigorous upper bound on charge susceptibility. |
| Rights: | The final publication is available at link.springer.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/68040 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 宮尾 忠宏
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