125 citations · 444 across the 26 of their papers we have counts for
5 papers · 1 filter
Exact ground states for a class of one-dimensional frustrated quantum spin models
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
We have found the exact ground state for two frustrated quantum spin-1/2 models on a linear chain. The first model describes ferromagnet- antiferromagnet transition point. The sing…
Two-dimensional frustrated Heisenberg model: Variational study
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
The stability of the ferromagnetic phase of the 2D quantum spin-1/2 model with nearest-neighbor ferro- and next-nearest neighbor antiferromagnetic interactions is studied. It turns…
Exact singlet bond ground states for electronic models
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
We have proposed several 1D and 2D electronic models with the exact ground state. The ground state wave function of these models is represented in terms of "singlet bond" functions…
Exactly solvable two-dimensional quantum spin models
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
A method is proposed for constructing an exact ground-state wave function of a two-dimensional model with spin 1/2. The basis of the method is to represent the wave function by a p…
Exact ground state for 1D electronic models
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
We have found the exact ground state for two electronic models on a linear chain. The first model describes half-filling electron system in the ferromagnet--antiferromagnet transit…