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- W3099681411 abstract "We study $N$ noninteracting fermions in a domain bounded by a hard wall potential in $d geq 1$ dimensions. We show that for large $N$, the correlations at the edge of the Fermi gas (near the wall) at zero temperature are described by a universal kernel, different from the universal edge kernel valid for smooth potentials. We compute this $d$ dimensional hard edge kernel exactly for a spherical domain and argue, using a generalized method of images, that it holds close to any sufficiently smooth boundary. As an application we compute the quantum statistics of the position of the fermion closest to the wall. Our results are then extended in several directions, including non-smooth boundaries such as a wedge, and also to finite temperature." @default.
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- W3099681411 date "2017-10-01" @default.
- W3099681411 modified "2023-10-17" @default.
- W3099681411 title "Statistics of fermions in a d-dimensional box near a hard wall" @default.
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- W3099681411 doi "https://doi.org/10.1209/0295-5075/120/10006" @default.
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