Density Functional Theory for non-relativistic Fermions in the Unitarity Limit - Nuclear TheoryReportar como inadecuado




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Abstract: We derive an energy density functional for non-relativistic spin one-halffermions in the limit of a divergent two-body scattering length. Using anepsilon expansion around d=4-epsilon spatial dimensions we compute thecoefficient of the leading correction beyond the local density approximationLDA. In the case of N fermionic atoms trapped in a harmonic potential thiscorrection has the form E=E LDA1+c s 3N^-2-3, where E LDA is thetotal energy in LDA approximation. At next-to-leading order in the epsilonexpansion we find c s=1.68, which is significantly larger than the result fornon-interacting fermions, c s=0.5.



Autor: Gautam Rupak, Thomas Schaefer North Carolina State University

Fuente: https://arxiv.org/







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