Unconventional discontinuous transitions in isospin systems
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arXiv
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| Format: | Preprint |
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2024
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| author | Raines, Zachary M. Glazman, Leonid I. Chubukov, Andrey V. |
| author_facet | Raines, Zachary M. Glazman, Leonid I. Chubukov, Andrey V. |
| contents | We show that two-dimensional fermions with dispersion $k^2$ or $k^4$ undergo a first-order Stoner transition to a fully spin-polarized state despite that the spin susceptibility diverges at the critical point. We extend our analysis to systems with dispersion $k^{2α}$ and spin and valley isospin and show that there is a cascade of instabilities into fractional-metal states with some electron bands fully depleted; narrow intermediate ranges of partially-depleted bands exist for $α<1$ or $α> 2$. The susceptibility becomes large near each transition. We discuss applications to biased bilayer and tri-layer graphene and moiré systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04415 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unconventional discontinuous transitions in isospin systems Raines, Zachary M. Glazman, Leonid I. Chubukov, Andrey V. Strongly Correlated Electrons We show that two-dimensional fermions with dispersion $k^2$ or $k^4$ undergo a first-order Stoner transition to a fully spin-polarized state despite that the spin susceptibility diverges at the critical point. We extend our analysis to systems with dispersion $k^{2α}$ and spin and valley isospin and show that there is a cascade of instabilities into fractional-metal states with some electron bands fully depleted; narrow intermediate ranges of partially-depleted bands exist for $α<1$ or $α> 2$. The susceptibility becomes large near each transition. We discuss applications to biased bilayer and tri-layer graphene and moiré systems. |
| title | Unconventional discontinuous transitions in isospin systems |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.04415 |