Landau-Gutzwiller quasi-particles

We define Landau quasiparticles within the Gutzwiller variational theory and derive their dispersion relation for general multiband Hubbard models in the limit of large spatial dimensions D. Thereby we reproduce our previous calculations which were based on a phenomenological effective single-particl...

Full description

Bibliographic Details
Main Authors: Bünemann, Jörg, Gebhard, Florian, Thul, Ruediger
Format: Article
Published: American Physical Society 2003
Online Access:https://eprints.nottingham.ac.uk/999/
_version_ 1848790523592048640
author Bünemann, Jörg
Gebhard, Florian
Thul, Ruediger
author_facet Bünemann, Jörg
Gebhard, Florian
Thul, Ruediger
author_sort Bünemann, Jörg
building Nottingham Research Data Repository
collection Online Access
description We define Landau quasiparticles within the Gutzwiller variational theory and derive their dispersion relation for general multiband Hubbard models in the limit of large spatial dimensions D. Thereby we reproduce our previous calculations which were based on a phenomenological effective single-particle Hamiltonian. For the one-band Hubbard model we calculate the frst-order corrections in 1/D and find that the corrections to the quasiparticle dispersions are small in three dimensions. They may be largely absorbed in a rescaling of the total bandwidth, unless the system is close to half band filling. Therefore, the Gutzwiller theory in the limit of large dimensions provides quasiparticle bands which are suitable for a comparison with real, three-dimensional Fermi liquids.
first_indexed 2025-11-14T18:13:58Z
format Article
id nottingham-999
institution University of Nottingham Malaysia Campus
institution_category Local University
last_indexed 2025-11-14T18:13:58Z
publishDate 2003
publisher American Physical Society
recordtype eprints
repository_type Digital Repository
spelling nottingham-9992020-05-04T16:25:44Z https://eprints.nottingham.ac.uk/999/ Landau-Gutzwiller quasi-particles Bünemann, Jörg Gebhard, Florian Thul, Ruediger We define Landau quasiparticles within the Gutzwiller variational theory and derive their dispersion relation for general multiband Hubbard models in the limit of large spatial dimensions D. Thereby we reproduce our previous calculations which were based on a phenomenological effective single-particle Hamiltonian. For the one-band Hubbard model we calculate the frst-order corrections in 1/D and find that the corrections to the quasiparticle dispersions are small in three dimensions. They may be largely absorbed in a rescaling of the total bandwidth, unless the system is close to half band filling. Therefore, the Gutzwiller theory in the limit of large dimensions provides quasiparticle bands which are suitable for a comparison with real, three-dimensional Fermi liquids. American Physical Society 2003-02-10 Article PeerReviewed Bünemann, Jörg, Gebhard, Florian and Thul, Ruediger (2003) Landau-Gutzwiller quasi-particles. Physical Review B, 67 . 075103/1-0751103/11. ISSN 1098-0121 http://journals.aps.org/prb/abstract/10.1103/PhysRevB.67.075103 doi:10.1103/PhysRevB.67.075103 doi:10.1103/PhysRevB.67.075103
spellingShingle Bünemann, Jörg
Gebhard, Florian
Thul, Ruediger
Landau-Gutzwiller quasi-particles
title Landau-Gutzwiller quasi-particles
title_full Landau-Gutzwiller quasi-particles
title_fullStr Landau-Gutzwiller quasi-particles
title_full_unstemmed Landau-Gutzwiller quasi-particles
title_short Landau-Gutzwiller quasi-particles
title_sort landau-gutzwiller quasi-particles
url https://eprints.nottingham.ac.uk/999/
https://eprints.nottingham.ac.uk/999/
https://eprints.nottingham.ac.uk/999/