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Generalised t-V model in one dimension

Research output: Contribution to conference - Without ISBN/ISSN Poster

Unpublished
Publication date9/06/2014
Original languageEnglish
EventStrongly Correlated Electron Systems 2014 - Campus Saint Martin d'Hères, Grenoble, France
Duration: 7/07/201411/07/2014

Conference

ConferenceStrongly Correlated Electron Systems 2014
CountryFrance
CityGrenoble
Period7/07/1411/07/14

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.