Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2001-01-18
Phys. Rev. B 64 (2001) 064419
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Revtex, 12 pages, 16 eps figures; this is the final published version
Scientific paper
10.1103/PhysRevB.64.064419
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, Mn_{12}, Fe_8 and V_{15}. The largest calculation involves the Mn_{12} cluster which 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 Mn_{12} cluster to explain the level ordering of low-lying eigenstates. In the case of the 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 V_{15} cluster, we obtain an effective Hamiltonian that reproduces exactly, the eight low-lying eigenvalues of the full Hamiltonian.
Raghu C.
Ramasesha S.
Rudra Indranil
Sen Diptiman
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