Symmetry-Enforced Fermi Surfaces
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917453299187712 |
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| author | Kim, Minho Luke Pace, Salvatore D. Shao, Shu-Heng |
| author_facet | Kim, Minho Luke Pace, Salvatore D. Shao, Shu-Heng |
| contents | We identify a symmetry that enforces every symmetric model to have a Fermi surface. These symmetry-enforced Fermi surfaces are realizations of a powerful form of symmetry-enforced gaplessness. The symmetry we construct exists in quantum lattice fermion models on a $d$-dimensional Bravais lattice, and is generated by the on-site U(1) fermion number symmetry and non-on-site Majorana translation symmetry. The resulting symmetry group is a noncompact Lie group closely related to the Onsager algebra. For a symmetry-enforced Fermi surface $\cal{F}$, we show that this UV symmetry group always includes the subgroup of the ersatz Fermi liquid L$_{\cal{F}}$U(1) symmetry group formed by even functions ${f(\mathbf{k})\in\mathrm{U}(1)}$ with ${\mathbf{k}\in \cal{F}}$. Furthermore, we comment on the topology of these symmetry-enforced Fermi surfaces, proving they generically exhibit at least two noncontractible components (i.e., open orbits). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04150 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetry-Enforced Fermi Surfaces Kim, Minho Luke Pace, Salvatore D. Shao, Shu-Heng Strongly Correlated Electrons Mesoscale and Nanoscale Physics High Energy Physics - Lattice High Energy Physics - Theory We identify a symmetry that enforces every symmetric model to have a Fermi surface. These symmetry-enforced Fermi surfaces are realizations of a powerful form of symmetry-enforced gaplessness. The symmetry we construct exists in quantum lattice fermion models on a $d$-dimensional Bravais lattice, and is generated by the on-site U(1) fermion number symmetry and non-on-site Majorana translation symmetry. The resulting symmetry group is a noncompact Lie group closely related to the Onsager algebra. For a symmetry-enforced Fermi surface $\cal{F}$, we show that this UV symmetry group always includes the subgroup of the ersatz Fermi liquid L$_{\cal{F}}$U(1) symmetry group formed by even functions ${f(\mathbf{k})\in\mathrm{U}(1)}$ with ${\mathbf{k}\in \cal{F}}$. Furthermore, we comment on the topology of these symmetry-enforced Fermi surfaces, proving they generically exhibit at least two noncontractible components (i.e., open orbits). |
| title | Symmetry-Enforced Fermi Surfaces |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.04150 |