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(38) Production(s) de CRAMPÉ N.
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Universal low temperature asymptotics of the correlation functions of the Heisenberg chain 
Auteur(s): Crampé N., Göhmann Frank, Klümper Andreas
(Article) Publié:
Symmetry, Integrability And Geometry: Methods And Applications, vol. 6 p.082 (2010)
Texte intégral en Openaccess : 
Ref HAL: hal-00510824_v1
Ref Arxiv: 1008.2939
DOI: 10.3842/SIGMA.2010.082
WoS: 000282827600005
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
1 Citation
Résumé: We calculate the low temperature asymptotics of a function $\gamma$ that generates the temperature dependence of all static correlation functions of the isotropic Heisenberg chain.
Commentaires: 5 pages. Contribution to the Proceedings of the International Workshop “Recent Advances in Quantum Integrable Systems”
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The thermal conductivity of alternating spin chains
Auteur(s): Ribeiro G. A. P., Crampé N., Klümper A.
(Article) Publié:
Journal Of Statistical Mechanics: Theory And Experiment, vol. 2010 p.P01019 (2010)
Texte intégral en Openaccess :
Ref HAL: hal-00421174_v1
Ref Arxiv: 0909.5634
DOI: 10.1088/1742-5468/2010/01/P01019
WoS: 000274266600005
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
3 Citations
Résumé: We study a class of integrable alternating (S_1,S_2) quantum spin chains with critical ground state properties. Our main results are the derivation of a finite set of non-linear integral equations for the thermodynamical properties of the systems and the identification of the thermal currents as conserved currents. These results lead to explicit expressions of the thermal conductivities of the alternating spin chains. Numerical solutions to the integral equations are presented for specific cases of the spins S_1 and S_2.In the low-temperature limit a universal picture evolves where the thermal Drude weight is proportional to temperature T and central charge c.
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Scattering matrix for a general gl(2) spin chain
Auteur(s): Belliard S., Crampé N., Ragoucy E.
(Article) Publié:
Journal Of Statistical Mechanics: Theory And Experiment, vol. p.to appear (2009)
Texte intégral en Openaccess :
Ref HAL: hal-00414493_v1
Ref Arxiv: 0909.1520
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
Résumé: We study the general L_0-regular gl(2) spin chain, i.e. a chain where the sites {i,i+L_0,i+2L_0,...} carry the same arbitrary representation (spin) of gl(2). The basic example of such chain is obtained for L_0=2, where we recover the alternating spin chain. Firstly, we review different known results about their integrability and their spectrum. Secondly, we give an interpretation in terms of particles and conjecture the scattering matrix between them.
Commentaires: 30 pages
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