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- W2074038238 abstract "Using an efficient numerical scheme that exploits spatial symmetries and spin parity, we have obtained the exact low-lying eigenstates of exchange Hamiltonians for the high-nuclearity spin clusters, ${mathrm{Mn}}_{12},$ ${mathrm{Fe}}_{8},$ and ${mathrm{V}}_{15}.$ The largest calculation involves the ${mathrm{Mn}}_{12}$ cluster that spans a Fock space of a hundred million. Our results show that the earlier estimates of the exchange constants need to be revised for the ${mathrm{Mn}}_{12}$ cluster to explain the level ordering of low-lying eigenstates. In the case of the ${mathrm{Fe}}_{8}$ cluster, correct level ordering can be obtained, which is consistent with the exchange constants for the already known clusters with butterfly structure. In the ${mathrm{V}}_{15}$ cluster, we obtain an effective Hamiltonian that reproduces exactly, the eight low-lying eigenvalues of the full Hamiltonian." @default.
- W2074038238 created "2016-06-24" @default.
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- W2074038238 date "2001-07-24" @default.
- W2074038238 modified "2023-10-09" @default.
- W2074038238 title "Properties of low-lying states in some high-nuclearity Mn, Fe, and V clusters: Exact studies of Heisenberg models" @default.
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- W2074038238 doi "https://doi.org/10.1103/physrevb.64.064419" @default.
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