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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.01725 |
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| _version_ | 1866909884580102144 |
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| author | Hu, Zhengfei Padayasi, Jaychandran Türker, Oğuz Yang, Kun |
| author_facet | Hu, Zhengfei Padayasi, Jaychandran Türker, Oğuz Yang, Kun |
| contents | We use high-dimensional bosonization to derive an effective field theory that describes the Pomeranchuck transition in isotropic two-dimensional Fermi liquids. We find that the transition is triggered by the softening of an eigenmode that leads to spontaneous Fermi surface distortion. The resultant theory in terms of this critical mode has dynamical critical exponent $z = 2$ and the upper critical dimension is $d_c = 4-z= 2$. As a result the system is at the upper critical dimension in 2D, resulting in a Gaussian fixed point with a marginally irrelevant quartic perturbation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01725 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Critical theory of Pomeranchuk transitions via high-dimensional bosonization Hu, Zhengfei Padayasi, Jaychandran Türker, Oğuz Yang, Kun Strongly Correlated Electrons High Energy Physics - Theory We use high-dimensional bosonization to derive an effective field theory that describes the Pomeranchuck transition in isotropic two-dimensional Fermi liquids. We find that the transition is triggered by the softening of an eigenmode that leads to spontaneous Fermi surface distortion. The resultant theory in terms of this critical mode has dynamical critical exponent $z = 2$ and the upper critical dimension is $d_c = 4-z= 2$. As a result the system is at the upper critical dimension in 2D, resulting in a Gaussian fixed point with a marginally irrelevant quartic perturbation. |
| title | Critical theory of Pomeranchuk transitions via high-dimensional bosonization |
| topic | Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.01725 |