Symmetry and causality constraints on Fermi liquids
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912627844710400 |
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| author | Delacrétaz, Luca V. Chowdhury, Subham Dutta Mehta, Umang |
| author_facet | Delacrétaz, Luca V. Chowdhury, Subham Dutta Mehta, Umang |
| contents | We investigate symmetry and causality constraints on interacting Fermi liquids. Whereas Galilean or Lorentz boost symmetry leads to a well-known constraint on the first Landau parameter $F_1$, we show that scale invariance similarly constrains $F_0$. In the case of conformal Fermi liquids, we show that causality constraints on the particle-hole continuum and on zero sound strongly restrict the available parameter space for interacting Fermi liquids. We also consider nonlinear response, which we show is sensitive to additional ``generalized Landau parameters'' even at lowest orders in the long wavelength limit. We impose Galilean, Lorentz and scale symmetry on these generalized Landau parameters, obtaining further nonlinear constraints. We test our constraints in several microscopic models that enter a Fermi liquid phase. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_02073 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetry and causality constraints on Fermi liquids Delacrétaz, Luca V. Chowdhury, Subham Dutta Mehta, Umang High Energy Physics - Theory Strongly Correlated Electrons Nuclear Theory We investigate symmetry and causality constraints on interacting Fermi liquids. Whereas Galilean or Lorentz boost symmetry leads to a well-known constraint on the first Landau parameter $F_1$, we show that scale invariance similarly constrains $F_0$. In the case of conformal Fermi liquids, we show that causality constraints on the particle-hole continuum and on zero sound strongly restrict the available parameter space for interacting Fermi liquids. We also consider nonlinear response, which we show is sensitive to additional ``generalized Landau parameters'' even at lowest orders in the long wavelength limit. We impose Galilean, Lorentz and scale symmetry on these generalized Landau parameters, obtaining further nonlinear constraints. We test our constraints in several microscopic models that enter a Fermi liquid phase. |
| title | Symmetry and causality constraints on Fermi liquids |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Nuclear Theory |
| url | https://arxiv.org/abs/2501.02073 |