Exact solution for infinitely strongly interacting Fermi gases in tight waveguides

Details Exact solution for infinitely strongly interacting Fermi gases in tight waveguides Exact solution for infinitely strongly interacting Fermi gases in tight waveguides

2008-06-11

arxiv.org/abs/0806.1773v2

Phys. Rev. Lett. 102, 160402 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, version accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.102.160402

We present an exact analytical solution of the fundamental systems of quasi-one-dimensional spin-1/2 fermions with infinite repulsion for arbitrary confining potential. The eigenfunctions are constructed by the combination of Gireardeau's hard-core contacting boundary condition and group theoretical method which guarantees the obtained states to be simultaneously the eigenstates of $S$ and $S_z$ and fulfill the antisymmetry under odd permutation. We show that the total ground-state density profile behaves like the polarized noninteracting fermions, whereas the spin-dependent densities display different properties for different spin configurations. We also discuss the splitting of the ground states for large but finite repulsion.

Affiliated with

Also associated with

No associations

Rating

Exact solution for infinitely strongly interacting Fermi gases in tight waveguides does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact solution for infinitely strongly interacting Fermi gases in tight waveguides, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact solution for infinitely strongly interacting Fermi gases in tight waveguides will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-264479