84 citations · 196 across the 9 of their papers we have counts for
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Quasi-one-dimensional anisotropic Heisenberg model in a transverse magnetic field
D. V. Dmitriev, V. Ya. Krivnov
The phase diagram of weakly coupled chains in a transverse magnetic field is studied using the mean-field approximation for the interchain coupling and known exact results fo…
The anisotropic Heisenberg model in a transverse magnetic field
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov +1
One dimensional spin-1/2 model in a transverse magnetic field is studied. It is shown that the field induces the gap in the spectrum of the model with easy-plain anisotropy.…
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…
Exactly solvable spin ladder model with degenerate ferromagnetic and singlet states
D. V. Dmitriev, V. Ya. Krivnov, A. A. Ovchinnikov
We study the spin ladder model with interactions between spins on neighboring rungs. The model Hamiltonian with the exact singlet ground state degenerated with ferromagnetic state…