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

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

2011-09-30

arxiv.org/abs/1109.6792v3

Phys. Rev. A 84, 063626 (2011)

Physics

Condensed Matter

Quantum Gases

4 pages. Version accepted in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.84.063626

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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