Exact ground state of a quantum mechanical antiferromagnet

Ian K. Affleck, Daniel P. Arovas, John Bradley Marston +1 more

W.J. Caspers

Nicholas D. Blakeley, Rick P. Millane

Wilfried Grieger

With the help of the Bethe ansatz the two-point correlation function of the ground state of the isotropic quantum-mechanical one-dimensional Heisenberg antiferromagnet with nearest-neighbor interactions is computed for the finite model up to 16 lattice points. The extrapolations of these values lead to the known exact results of the infinite model.

G. G. Cabrera

Pratyay Ghosh, Tobias Müller, Ronny Thomale

We present the exact dimer ground state of a quantum antiferromagnet on the maple-leaf lattice. A coupling anisotropy for one of the three inequivalent nearest-neighbor bonds is sufficient to stabilize the dimer state. Together with the Shastry-Sutherland Hamiltonian, we show that this is the only other model with an exact dimer ground state for all two-dimensional lattices with uniform tilings.