WEKO3
アイテム
Superconducting Phase in the BCS Model with Imaginary Magnetic Field. II. Multi-Scale Infrared Analysis
http://hdl.handle.net/2261/0002005795
http://hdl.handle.net/2261/000200579557b0a4f0-a311-4003-8294-f87cb96911b4
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms280201.pdf (1.2 MB)
|
|
| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||
|---|---|---|---|---|---|---|---|---|
| 公開日 | 2022-10-25 | |||||||
| タイトル | ||||||||
| タイトル | Superconducting Phase in the BCS Model with Imaginary Magnetic Field. II. Multi-Scale Infrared Analysis | |||||||
| 言語 | en | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| キーワード | ||||||||
| 言語 | en | |||||||
| 主題Scheme | Other | |||||||
| 主題 | The BCS model | |||||||
| キーワード | ||||||||
| 言語 | en | |||||||
| 主題Scheme | Other | |||||||
| 主題 | spontaneous symmetry breaking | |||||||
| キーワード | ||||||||
| 言語 | en | |||||||
| 主題Scheme | Other | |||||||
| 主題 | off-diagonal long range order | |||||||
| キーワード | ||||||||
| 言語 | en | |||||||
| 主題Scheme | Other | |||||||
| 主題 | Grassmann integral formulation | |||||||
| キーワード | ||||||||
| 言語 | en | |||||||
| 主題Scheme | Other | |||||||
| 主題 | multi-scale IR analysis | |||||||
| 資源タイプ | ||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||
| 資源タイプ | departmental bulletin paper | |||||||
| 著者 |
Kashima, Yohei
× Kashima, Yohei
|
|||||||
| 抄録 | ||||||||
| 内容記述タイプ | Abstract | |||||||
| 内容記述 | We analyze the reduced BCS model with an imaginary magnetic field in a large domain of the temperature and the imaginary magnetic field. The magnitude of the attractive reduced BCS interaction is fixed to be small but independent of the temperature and the imaginary magnetic field unless the temperature is high. We impose a series of conditions on the free dispersion relation. These conditions are typically satisfied by free electron models with degenerate Fermi surface. For example, our theory applies to the model with nearest-neighbor hopping on 3 or 4-dimensional (hyper-)cubic lattice having degenerate free Fermi surface or the model with nearest-neighbor hopping on the honeycomb lattice with zero chemical potential. We prove that a spontaneous $U(1)$-symmetry breaking (SSB) and an off-diagonal long range order (ODLRO) occur in many areas of the parameter space. The SSB and the ODLRO are proved to occur in low temperatures arbitrarily close to zero in particular. However, it turns out that the SSB and the ODLRO are not present in the zero-temperature limit. The proof is based on Grassmann Gaussian integral formulations and a multi-scale infrared analysis of the formulations. We keep using notations and lemmas of our previous work [Kashima, Y., J. Math. Sci. Univ. Tokyo 28 (2021), 1-179] implementing the double-scale integration scheme. So the multi-scale analysis this paper presents is a continuation of the previous work. | |||||||
| 言語 | en | |||||||
| 書誌情報 |
en : Journal of Mathematical Sciences The University of Tokyo 巻 28, 号 2, p. 181-398, 発行日 2021-07-27 |
|||||||
| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 13405705 | |||||||
| 書誌レコードID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA11021653 | |||||||
| Mathmatical Subject Classification | ||||||||
| 言語 | en | |||||||
| 値 | 82D55(MSC2010) | |||||||
| Mathmatical Subject Classification | ||||||||
| 言語 | en | |||||||
| 値 | 81T28(MSC2010) | |||||||
| 出版者 | ||||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||||
| 言語 | en | |||||||
| 原稿受領日 | ||||||||
| 値 | 2017-09-20 | |||||||
