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arXiv · 1109.6792

Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions

Manuel Valiente·Nikolaj Zinner·Klaus Molmer
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Abstract

We present universal relations for a two-dimensional Fermi gas with pairwise contact interactions. The derivation of these relations is made possible by obtaining the explicit form of a generalized function -- selector -- in the momentum representation. The selector implements the short-distance boundary condition between two fermions in a straightforward manner, and leads to simple derivations of the universal relations, in the spirit of Tan's original method for the three-dimensional gas.

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Manuel Valiente, Nikolaj Zinner, Klaus Molmer. 2011-12-01. Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions. https://doi.org/10.1103/physreva.84.063626

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