42 citations · 415 across the 41 of their papers we have counts for
4 papers · 1 filter
On Generalized -systems
Zoltán Bajnok, Etienne Granet, Jesper Lykke Jacobsen +1
We formulate -systems for the closed XXZ, open XXX and open quantum-group-invariant XXZ quantum spin chains. Polynomial solutions of these -systems can be found efficiently,…
On zero-remainder conditions in the Bethe ansatz
Etienne Granet, Jesper Lykke Jacobsen
We prove that physical solutions to the Heisenberg spin chain Bethe ansatz equations are exactly obtained by imposing two zero-remainder conditions. This bridges the gap between di…
Concavity analysis of the tangent method
Bryan Debin, Etienne Granet, Philippe Ruelle
The tangent method has recently been devised by Colomo and Sportiello (arXiv:1605.01388 [math-ph]) as an efficient way to determine the shape of arctic curves. Largely conjectural,…
Analytical results on the Heisenberg spin chain in a magnetic field
Etienne Granet, Jesper Lykke Jacobsen, Hubert Saleur
We obtain the ground state magnetization of the Heisenberg and XXZ spin chains in a magnetic field as a series in , where is the smallest field for which th…