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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Generic reduction theory for Fermi sea topology in metallic systems
(Submitted on 28 Mar 2024 (v1), last revised 28 Apr 2024 (this version, v2))
Abstract: Fermi sea in a metal can host exotic quantum topology, which determines its conductance quantization and is characterized by Euler characteristic $\chi_F$. Unlike gapped band topology described by the global feature of wave function, this topology of gapless system is associated with the geometry of Fermi sea, and thus probing and identifying $\chi_F$ are inherently difficult in higher-dimensional systems. Here, we propose a dimensional reduction theory for Fermi sea topology in $d$-dimensional metallic systems, showing that $\chi_F$ can be determined by the feature of so-called reduced critical points on Fermi surfaces, with theoretical simplicity and observational intuitiveness. We also reveal a nontrivial correspondence between the Fermi sea topology and the gapped band topology by using an ingenious mapping, of which $\chi_F$ exactly equals to the topological invariant of gapped topological phases. This provides a potential way to capture $\chi_F$ through the topological superconductors. Our work opens an avenue to characterize and detect the Fermi sea topology using low-dimensional momentum information.
Submission history
From: Wei Jia [view email][v1] Thu, 28 Mar 2024 03:36:45 GMT (2668kb,D)
[v2] Sun, 28 Apr 2024 01:49:18 GMT (2668kb,D)
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