Impact of a Lifshitz Transition on the onset of spontaneous coherence
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916081786945536 |
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| author | Eaton, Adam Mukherjee, Dibya Fertig, Herbert |
| author_facet | Eaton, Adam Mukherjee, Dibya Fertig, Herbert |
| contents | Lifshitz transitions are topological transitions of a Fermi surface, whose signatures typically appear in the conduction properties of a host metal. Here, we demonstrate, using an extended Falicov- Kimball model of a two-flavor fermion system, that a Lifshitz transition which occurs in the noninteracting limit impacts interaction-induced insulating phases, even though they do not host Fermi surfaces. For strong interactions we find a first order transition between states of different polarization This transition line ends in a very unusual quantum critical endpoint, whose presence is stabilized by the onset of inter-flavor coherence. We demonstrate that the surfaces of maximum coherence in these states reflect the distinct Fermi surface topologies of the states separated by the non-interacting Lifshitz transition. The phenomenon is shown to be independent of the band topologies involved. Experimental realizations of our results are discussed for both electronic and optical lattice systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03013 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Impact of a Lifshitz Transition on the onset of spontaneous coherence Eaton, Adam Mukherjee, Dibya Fertig, Herbert Strongly Correlated Electrons Lifshitz transitions are topological transitions of a Fermi surface, whose signatures typically appear in the conduction properties of a host metal. Here, we demonstrate, using an extended Falicov- Kimball model of a two-flavor fermion system, that a Lifshitz transition which occurs in the noninteracting limit impacts interaction-induced insulating phases, even though they do not host Fermi surfaces. For strong interactions we find a first order transition between states of different polarization This transition line ends in a very unusual quantum critical endpoint, whose presence is stabilized by the onset of inter-flavor coherence. We demonstrate that the surfaces of maximum coherence in these states reflect the distinct Fermi surface topologies of the states separated by the non-interacting Lifshitz transition. The phenomenon is shown to be independent of the band topologies involved. Experimental realizations of our results are discussed for both electronic and optical lattice systems. |
| title | Impact of a Lifshitz Transition on the onset of spontaneous coherence |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2401.03013 |