Szyniszewski, Marcin (2014) Generalised t-V model in one dimension. In: Strongly Correlated Electron Systems 2014, 2014-07-07 - 2014-07-11, Campus Saint Martin d'Hères. (Unpublished)
Marcin_Szyniszewski_SCES2014_Poster.pdf - Accepted Version
Download (2MB)
Abstract
We use a strong coupling expansion [1] to solve the one-dimensional extended t V model of fermions [2,3]. The model is solved for a range of densities, including both commensurate – where a charge density wave is present – and incommensurate densities. The first set consists not only of a trivial case of half filling. The method allows us to trace the transition from a Luttinger liquid phase to a Mott insulating phase. This simple yet powerful method is not based on Bethe ansatz and it works for both integrable and non-integrable systems. References [1] C.J. Hamer, Phys. Lett. B, 1979, 82, 75-78. [2] G. Gómez-Santos, Phys. Rev. Lett., 1993, 70, 3780. [3] R.G. Dias, Phys. Rev. B, 2000, 62, 7791.