Spin permutation technique in the theory of strongly correlated electron systems

Cheranovskii, V. O.

doi:10.1016/s1380-7323(02)80022-x

Cited by 4 publications

(2 citation statements)

References 38 publications

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“…Note also, besides the numerous successful applications in solid-state physics, Heisenberg spin Hamiltonian is also treated as the spin formalism of known valence bond methods of quantum chemistry [27][28][29]. Unfortunately, this approach is not programmed in the existing solid-state quantum chemistry packages.…”

Section: Introductionmentioning

confidence: 99%

Magnetic Properties of Quasi-One-Dimensional Crystals Formed by Graphene Nanoclusters and Embedded Atoms of the Transition Metals

et al. 2019

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Using the density-matrix renormalization group method and quantum Monte Carlo simulation, we studied numerically the energy spectrum and thermodynamics of the quantum Heisenberg spin model for narrow graphene nanoribbons and their derivatives with periodically embedded heteroatoms. For several nanoribbon structures we found macroscopic ground state spin, gapless lowest excitation spectra and intermediate magnetization plateaus at low temperatures. We also studied the lowest energy states of frustrated systems formed by triangular graphitic clusters connected by bridged ions of transition metals. On the base of many-body perturbation theory and the exact diagonalization method, we showed the possibility of spin switching for this model due to the change the corresponding coupling parameters.

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Section: Introductionmentioning

confidence: 99%

Magnetic Properties of Quasi-One-Dimensional Crystals Formed by Graphene Nanoclusters and Embedded Atoms of the Transition Metals

et al. 2019

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“…a is a spin-free Fermi operator which acts only on the coordinate part of model wave function that describes the distribution of N electrons over the 3L lattice sites; Q m,n is an operator of cyclic permutation of spin variables σ k (k = m, m + 1,..., n) of electrons, located on the lattice sites from the interval (i, j), where ith and jth sites are neighbors 13,14 ,…”

Section: Effective Hamiltoniansmentioning

confidence: 99%

U= ∞ Hubbard Model for 1D Frustrated Magnets

Cheranovskii¹,

Ezerskaya²

2013

Croat. Chem. Acta

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The energy spectrum of Hubbard model with infinite repulsion on two types of distorted necklace ladder with additional diagonal interactions is studied analytically and numerically. For the diamond type lattice we demonstrate the appearance of magnetic polarons at negative ratio of hopping parameters describing the interactions of neighbor unit cells. For second type of the lattice, despite of similar triangular topology, the corresponding polarons have nonmagnetic character.

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Weyl representation of the permutation operators and exchange interaction

Luzanov

Prezhdo

2003

Int J of Quantum Chemistry

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Weyl phase-space representation is derived for the cyclic permutation operators that naturally occur in the quantum theory of exchange interaction. The classical-like phase-space representation of exchange leads to a special type of coupling between the position and momentum variables. With Gaussian electronic structure basis sets in mind, it is shown that the position-momentum coupling seen in the Weyl representation of the exchange interaction is best described by diffuse Gaussians. A classical phase-space analog of exchange is derived for the Heisenberg-Dirac spinHamiltonian. Novel one-electron Wigner functions are introduced for description of the two-electron spin correlations.

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Spin permutation technique in the theory of strongly correlated electron systems

Cited by 4 publications

References 38 publications

Magnetic Properties of Quasi-One-Dimensional Crystals Formed by Graphene Nanoclusters and Embedded Atoms of the Transition Metals

Magnetic Properties of Quasi-One-Dimensional Crystals Formed by Graphene Nanoclusters and Embedded Atoms of the Transition Metals

U= ∞ Hubbard Model for 1D Frustrated Magnets

Weyl representation of the permutation operators and exchange interaction

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