activity
20092013
most citedHeisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz

100 citations · 278 across the 9 of their papers we have counts for

collaborators

9 papers

math-ph2013★ 100 cited

Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz

Samuel Belliard, Nicolas Crampé

We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Beth…

math-ph2013★ 9 cited

Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency

Vincent Caudrelier, Nicolas Crampé, Qi Cheng Zhang

We propose the notion of integrable boundary in the context of discrete integrable systems on quad-graphs. The equation characterizing the boundary must satisfy a compatibility equ…

cond-mat.stat-mech2011★ 56 cited

Matrix Coordinate Bethe Ansatz: Applications to XXZ and ASEP models

N. Crampe, E. Ragoucy, D. Simon

We present the construction of the full set of eigenvectors of the open ASEP and XXZ models with special constraints on the boundaries. The method combines both recent construction…

hep-th2011★ 35 cited

Generalized coordinate Bethe ansatz for non diagonal boundaries

N. Crampe, E. Ragoucy

We compute the spectrum and the eigenstates of the open XXX model with non-diagonal (triangular) boundary matrices. Since the boundary matrices are not diagonal, the usual coordina…

cond-mat.stat-mech2010★ 63 cited

Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions

Nicolas Crampé, Eric Ragoucy, Damien Simon

We present a generalization of the coordinate Bethe ansatz that allows us to solve integrable open XXZ and ASEP models with non-diagonal boundary matrices, provided their parameter…

math-ph2010★ 10 cited

Coordinate Bethe Ansatz for Spin s XXX Model

Nicolas Crampé, Eric Ragoucy, Ludovic Alonzi

We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the…

cond-mat.str-el2010★ 1 cited

Universal Low Temperature Asymptotics of the Correlation Functions of the Heisenberg Chain

Nicolas Crampé, Frank Göhmann, Andreas Klümper

We calculate the low temperature asymptotics of a function that generates the temperature dependence of all static correlation functions of the isotropic Heisenberg chain.

cond-mat.stat-mech2009★ 2 cited

The thermal conductivity of alternating spin chains

G. A. P. Ribeiro, N. Crampe, A. Klümper

We study a class of integrable alternating (S1,S2) quantum spin chains with critical ground state properties. Our main result is the description of the thermal Drude weight of the…

math-ph2009★ 2 cited

Scattering matrix for a general gl(2) spin chain

S. Belliard, N. Crampe, E. Ragoucy

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 s…