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• W4385544103 abstract "The Fermi sea topology is characterized by the Euler characteristic ${ensuremath{chi}}_{F}$. In this paper, we examine how ${ensuremath{chi}}_{F}$ of the metallic state is inherited by the topological invariant of the superconducting state. We establish a correspondence between the Euler characteristic and the Chern number $C$ of $p$-wave topological superconductors without time-reversal symmetry in two dimensions. By rewriting the pairing potential ${mathrm{ensuremath{Delta}}}_{mathbf{k}}={mathrm{ensuremath{Delta}}}_{1}ensuremath{-}i{mathrm{ensuremath{Delta}}}_{2}$ as a vector field $mathbf{u}=({mathrm{ensuremath{Delta}}}_{1},{mathrm{ensuremath{Delta}}}_{2})$, we found that ${ensuremath{chi}}_{F}=C$ when $mathbf{u}$ and fermion velocity $mathbf{v}$ can be smoothly deformed to be parallel or antiparallel on each Fermi surface. We also discuss a similar correspondence between the Euler characteristic and three-dimensional winding number of time-reversal-invariant $p$-wave topological superconductors in three dimensions." @default.
• W4385544103 created "2023-08-04" @default.
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• W4385544103 date "2023-08-03" @default.
• W4385544103 modified "2023-09-25" @default.
• W4385544103 title "Euler-Chern correspondence via topological superconductivity" @default.
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• W4385544103 doi "https://doi.org/10.1103/physrevresearch.5.033073" @default.
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