16 papers
The dilute A model, the E mass spectrum and the tricritical Ising model
K. A. Seaton, M. T. Batchelor
The exact perturbation approach is used to derive the (seven) elementary correlation lengths and related mass gaps of the two-dimensional dilute A lattice model in regime 2- fr…
The quantum symmetric XXZ chain at Delta=-1/2, alternating sign matrices and plane partitions
M. T. Batchelor, J. de Gier, B. Nienhuis
We consider the groundstate wavefunction of the quantum symmetric antiferromagnetic XXZ chain with open and twisted boundary conditions at , along with the groundstate wa…
Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras
M. T. Batchelor, J. de Gier, J. Links +1
We extend the results of spin ladder models associated with the Lie algebras to the case of the orthogonal and symplectic algebras where n is the numbe…
Ground state energy and mass gap of a generalised quantum spin ladder
M. T. Batchelor, M. Maslen
We show that a 2-leg ladder hamiltonian introduced recently by Albeverio and Fei (cond-mat/9807341) can be made to satisfy the Hecke algebra. As a result we have found an equivalen…
Exactly solvable quantum spin tubes and ladders
M. T. Batchelor, M. Maslen
We find families of integrable n-leg spin-1/2 ladders and tubes with general isotropic exchange interactions between spins. These models are equivalent to su(N) spin chains with N=…
Correlation lengths and E_8 mass spectrum of the dilute A_3 lattice model
M. T. Batchelor, K. A. Seaton
The exact perturbation approach is used to derive the elementary correlation lengths and related mass gaps of the two-dimensional dilute A_L lattice model in regimes 1…