Full spin and spatial symmetry adapted technique for correlated electronic hamiltonians: Application to an icosahedral cluster

Sahoo, Shaon and Ramasesha, S (2012) Full spin and spatial symmetry adapted technique for correlated electronic hamiltonians: Application to an icosahedral cluster. In: International Journal of Quantum Chemistry, 112 (4). pp. 1041-1054.

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Abstract

One of the long standing problems in quantum chemistry had been the inability to exploit full spatial and spin symmetry of an electronic Hamiltonian belonging to a non-Abelian point group. Here, we present a general technique which can utilize all the symmetries of an electronic (magnetic) Hamiltonian to obtain its full eigenvalue spectrum. This is a hybrid method based on Valence Bond basis and the basis of constant z-component of the total spin. This technique is applicable to systems with any point group symmetry and is easy to implement on a computer. We illustrate the power of the method by applying it to a model icosahedral half-filled electronic system. This model spans a huge Hilbert space (dimension 1,778,966) and in the largest non-Abelian point group. The C60 molecule has this symmetry and hence our calculation throw light on the higher energy excited states of the bucky ball. This method can also be utilized to study finite temperature properties of strongly correlated systems within an exact diagonalization approach. (C) 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012

Item Type:	Journal Article
Publication:	International Journal of Quantum Chemistry
Publisher:	John Wiley and Sons
Additional Information:	Copyright of this article belongs to John Wiley and Sons.
Keywords:	symmetry adaptation;correlated system;icosahedral symmetry
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	27 Feb 2012 10:57
Last Modified:	27 Feb 2012 10:57
URI:	http://eprints.iisc.ac.in/id/eprint/43668

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