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

Journal Article · Thu Dec 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.063626· OSTI ID:22095677

Valiente, Manuel; Zinner, Nikolaj T.; Moelmer, Klaus ^[1]

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1. Lundbeck Foundation Theoretical Center for Quantum System Research, Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C (Denmark)

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.

• OSTI ID: 22095677
• Journal Information: Physical Review. A, Vol. 84, Issue 6; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOUNDARY CONDITIONS
FERMI GAS
FERMIONS
PAIRING INTERACTIONS
SPIN
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS