Accepted author manuscript, 2.26 MB, PDF document
Research output: Contribution to conference - Without ISBN/ISSN › Poster
Research output: Contribution to conference - Without ISBN/ISSN › Poster
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TY - CONF
T1 - Generalised t-V model in one dimension
AU - Szyniszewski, Marcin
PY - 2014/6/9
Y1 - 2014/6/9
N2 - 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.
AB - 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.
KW - fermions
KW - strongly correlated electrons
KW - strong coupling expansion
KW - Mott insulator
KW - Luttinger liquid
M3 - Poster
T2 - Strongly Correlated Electron Systems 2014
Y2 - 7 July 2014 through 11 July 2014
ER -