dc.identifier.uri |
http://dx.doi.org/10.15488/395 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/418 |
|
dc.contributor.author |
Grabinski, Andre M.
|
|
dc.contributor.author |
Frahm, Holger
|
|
dc.date.accessioned |
2016-08-12T08:30:53Z |
|
dc.date.available |
2016-08-12T08:30:53Z |
|
dc.date.issued |
2013-04-17 |
|
dc.identifier.citation |
Grabinski, Andre M.; Frahm, Holger: Truncation identities for the small polaron fusion hierarchy. In: New Journal of Physics 15 (2013), 43026. DOI: http://dx.doi.org/10.1088/1367-2630/15/4/043026 |
|
dc.description.abstract |
We study a one-dimensional lattice model of interacting spinless fermions. This model is integrable for both periodic and open boundary conditions; the latter case includes the presence of Grassmann valued non-diagonal boundary fields breaking the bulk U(1) symmetry of the model. Starting from the embedding of this model into a graded Yang-Baxter algebra, an infinite hierarchy of commuting transfer matrices is constructed by means of a fusion procedure. For certain values of the coupling constant related to anisotropies of the underlying vertex model taken at roots of unity, this hierarchy is shown to truncate giving a finite set of functional equations for the spectrum of the transfer matrices. For generic coupling constants, the spectral problem is formulated in terms of a functional (or TQ-)equation which can be solved by Bethe ansatz methods for periodic and diagonal open boundary conditions. Possible approaches for the solution of the model with generic non-diagonal boundary fields are discussed. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Bristol : IOP Publishing Ltd. |
|
dc.relation.ispartofseries |
New Journal of Physics 15 (2013) |
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dc.rights |
CC BY 3.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/3.0/de/ |
|
dc.subject |
open-boundary-conditions |
eng |
dc.subject |
algebraic bethe-ansatz |
eng |
dc.subject |
xxz spin chain |
eng |
dc.subject |
t-q relation |
eng |
dc.subject |
functional relations |
eng |
dc.subject |
lattice models |
eng |
dc.subject |
vertex models |
eng |
dc.subject |
terms |
eng |
dc.subject |
matrices |
eng |
dc.subject |
systems |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Truncation identities for the small polaron fusion hierarchy |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.essn |
1367-2630 |
|
dc.relation.doi |
http://dx.doi.org/10.1088/1367-2630/15/4/043026 |
|
dc.bibliographicCitation.volume |
15 |
|
dc.bibliographicCitation.firstPage |
43026 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|