Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End

Autor: Ghali Filali, Nikolai Kitanine

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 012 (2011)

In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and computation of the partition function for the trigonometric solid-on-solid (SOS) model w

Externí odkaz: https://doaj.org/article/dfc83ef7e86344bbb26677a8fcdeae6a

The open XXZ spin chain in the SoV framework: scalar product of separate states

Autor: Nikolai Kitanine, Véronique Terras, J. M. Maillet, Giuliano Niccoli

Publikováno v: J.Phys.A
J.Phys.A, 2018, 51 (48), pp.485201. ⟨10.1088/1751-8121/aae76f⟩

In our previous paper [1] we have obtained, for the XXX spin-1/2 Heisenberg open chain, new determinant representations for the scalar products of separate states in the quantum separation of variables (SoV) framework. In this article we perform a si

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6264242ec988e6b2f9afccf5e33a57e8
https://doi.org/10.1088/1751-8121/aae76f

Dynamical correlation functions of the spin- chain

Autor: Nikolai Kitanine, J. M. Maillet, Véronique Terras, Nikita Andreevich Slavnov

Publikováno v: Nuclear Physics B. 729:558-580

We derive a master equation for the dynamical spin–spin correlation functions of the X X Z spin- 1 2 Heisenberg finite chain in an external magnetic field. In the thermodynamic limit, we obtain their multiple integral representation.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2a735fa829db612999fa33420875bb38
https://doi.org/10.1016/j.nuclphysb.2005.08.046

Master equation for spin–spin correlation functions of the chain

Autor: Nikolai Kitanine, Véronique Terras, J. M. Maillet, Nikita Andreevich Slavnov

Publikováno v: Nuclear Physics B
Nuclear Physics B, 2005, 712 (3), pp.600-622. ⟨10.1016/j.nuclphysb.2005.01.050⟩
Nuclear Physics B, Elsevier, 2005, 712 (3), pp.600-622. ⟨10.1016/j.nuclphysb.2005.01.050⟩

We derive a new representation for spin-spin correlation functions of the finite XXZ spin-1/2 Heisenberg chain in terms of a single multiple integral, that we call the master equation. Evaluation of this master equation gives rise on the one hand to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be4403a82129e003999fac8dfaaebb4c
https://doi.org/10.1016/j.nuclphysb.2005.01.050

Open spin chains with generic integrable boundaries: Baxter equation and Bethe ansatz completeness from separation of variables

Autor: J. M. Maillet, Nikolai Kitanine, Giuliano Niccoli

Publikováno v: Journal of Statistical Mechanics: Theory and Experiment
Journal of Statistical Mechanics: Theory and Experiment, 2014, 2014 (5), pp.P05015. ⟨10.1088/1742-5468/2014/05/P05015⟩
Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2014, 2014 (5), pp.P05015. ⟨10.1088/1742-5468/2014/05/P05015⟩

28 pages; International audience; We solve the longstanding problem to define a functional characterization of the spectrum of the transfer matrix associated to the most general spin-1/2 representations of the 6-vertex reflection algebra for general

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef346f51bb68f459eb6b33075af47afd
https://hal.science/hal-02324545