54 citations · 54 across the 2 of their papers we have counts for
5 papers
Exact results for the 1D interacting mixed Bose-Fermi gas
M. T. Batchelor, M. Bortz, X. W. Guan +1
The exact solution of the 1D interacting mixed Bose-Fermi gas is used to calculate ground-state properties both for finite systems and in the thermodynamic limit. The quasimomentum…
The 1D Bose Gas with Weakly Repulsive Delta Interaction
M T Batchelor, X-W Guan, C Dunning +1
We consider the asymptotic solutions to the Bethe ansatz equations of the integrable model of interacting bosons in the weakly interacting limit. In this limit we establish that th…
The integrable open XXZ chain with broken Z_2 symmetry
M. T. Batchelor
The hamiltonian of an asymmetric diffusion process with injection and ejection of particles at the ends of a chain of finite length is known to be relevant to that of the spin-1/2…
Exactly solved lattice models: from polymer networks to an Ising model in a magnetic field
M. T. Batchelor
Some recent developments in the study of exactly solved lattice models in statistical mechanics are briefly reviewed. These include work with Debbie Bennett-Wood and Aleks Owczarek…
Integrable su(2)-invariant spin chains and the Haldane conjecture
M. T. Batchelor, C. M. Yung
We perform a systematic exact algebraic search for integrable spin-S chains which are isotropic in spin space, i.e. are su(2)-invariant. The families of spin chains found for S < 1…