Generalised t-V model in one dimension

Marcin Szyniszewski; Evgeni Burovski

Generalised t-V model in one dimension

Marcin Szyniszewski, Evgeni Burovski

The University of Manchester

Research output: Contribution to conference › Poster

33 Downloads (Pure)

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, 82, 75-78 (1979).[2] G. Gómez-Santos, Phys. Rev. Lett., 70, 3780 (1993).[3] R.G. Dias, Phys. Rev. B, 62, 7791 (2000).

Original language	English
Publication status	Published - 2014
Event	Strongly Correlated Electron Systems 2014 - Campus Saint Martin d'Hères, Grenoble, France Duration: 7 Jul 2014 → 11 Jul 2014

Conference

Conference	Strongly Correlated Electron Systems 2014
City	Campus Saint Martin d'Hères, Grenoble, France
Period	7/07/14 → 11/07/14

Access to Document

FULL-TEXT

Cite this

@conference{f45e05b78b9a43c290cf63f06c5c1779,

title = "Generalised t-V model in one dimension",

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, 82, 75-78 (1979).[2] G. G{\'o}mez-Santos, Phys. Rev. Lett., 70, 3780 (1993).[3] R.G. Dias, Phys. Rev. B, 62, 7791 (2000).",

author = "Marcin Szyniszewski and Evgeni Burovski",

year = "2014",

language = "English",

note = "Strongly Correlated Electron Systems 2014 ; Conference date: 07-07-2014 Through 11-07-2014",

}

TY - CONF

T1 - Generalised t-V model in one dimension

AU - Szyniszewski, Marcin

AU - Burovski, Evgeni

PY - 2014

Y1 - 2014

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, 82, 75-78 (1979).[2] G. Gómez-Santos, Phys. Rev. Lett., 70, 3780 (1993).[3] R.G. Dias, Phys. Rev. B, 62, 7791 (2000).

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, 82, 75-78 (1979).[2] G. Gómez-Santos, Phys. Rev. Lett., 70, 3780 (1993).[3] R.G. Dias, Phys. Rev. B, 62, 7791 (2000).

M3 - Poster

T2 - Strongly Correlated Electron Systems 2014

Y2 - 7 July 2014 through 11 July 2014

ER -

Generalised t-V model in one dimension

Abstract

Conference

Access to Document

Fingerprint

Cite this