Exact Analysis of a One-Dimensional Attractive δ-Function Fermi Gas with Arbitrary Spin Polarization
Abstract
We study a one-dimensional integrable system of N spin-1/2 fermions with attractive δ-function interaction at zero temperature. The Gaudin integral equation describing the ground state with arbitrary spin polarization is solved in the form of power series. We also study the ground state energy as a function of the coupling constant and the polarization.
- Publication:
-
Journal of Low Temperature Physics
- Pub Date:
- August 2007
- DOI:
- 10.1007/s10909-007-9409-7
- Bibcode:
- 2007JLTP..148..417I
- Keywords:
-
- 02.10.Ik;
- 04.20.Jb;
- 05.30.-d