| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1818493 | Physica C: Superconductivity and its Applications | 2011 | 7 Pages |
We study electron pairing in a one-dimensional (1D) fermion gas at zero temperature under zero- and finite-range, attractive, two-body interactions. The binding energy of Cooper pairs (CPs) with zero total or center-of-mass momentum (CMM) increases with attraction strength and decreases with interaction range for fixed strength. The excitation energy of 1D CPs with nonzero CMM display novel, unique properties. It satisfies a dispersion relation with two branches: a phonon-like linear excitation for small CP CMM; this is followed by roton-like quadratic excitation minimum for CMM greater than twice the Fermi wavenumber, but only above a minimum threshold attraction strength. The expected quadratic-in-CMM dispersion in vacuo when the Fermi wavenumber is set to zero is recovered for any coupling. This paper completes a three-part exploration initiated in 2D and continued in 3D.
► Exact solutions for electron pairing in a 1D Fermi gas under different separable interactions. ► Energy dispersion relations for arbitrary values of center-of-mass momenta and interaction strengths. ► Results reveal linear and roton-like modes. ► Effects due to finite range parameters in the interaction.
