Ground state of one-dimensional fermion-phonon systems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866929497237880832 |
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| author | Miyao, Tadahiro Okida, Seigo Tominaga, Hayato |
| author_facet | Miyao, Tadahiro Okida, Seigo Tominaga, Hayato |
| contents | A new framework for the reflection positivity, based on order-preserving operator inequalities, is proposed. This framework is utilized to investigate one-dimensional fermion-phonon systems, with a particular focus on the detailed examination of ground state properties. Our analysis reveals that the reflection positivity provides a consistent description of the charge-density-wave (CDW) order in such systems. Additionally, we establish the existence of CDW long-range order in the ground state when the Coulomb interaction is long range. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_03530 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Ground state of one-dimensional fermion-phonon systems Miyao, Tadahiro Okida, Seigo Tominaga, Hayato Mathematical Physics A new framework for the reflection positivity, based on order-preserving operator inequalities, is proposed. This framework is utilized to investigate one-dimensional fermion-phonon systems, with a particular focus on the detailed examination of ground state properties. Our analysis reveals that the reflection positivity provides a consistent description of the charge-density-wave (CDW) order in such systems. Additionally, we establish the existence of CDW long-range order in the ground state when the Coulomb interaction is long range. |
| title | Ground state of one-dimensional fermion-phonon systems |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2104.03530 |