An extension of the coupled-cluster method: A variational formalism

Details An extension of the coupled-cluster method: A variational formalism An extension of the coupled-cluster method: A variational formalism

2002-07-04

arxiv.org/abs/cond-mat/0207125v1

Phys. Rev. B 66, 184427 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages. Submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.66.184427

A general quantum many-body theory in configuration space is developed by extending the traditional coupled cluter method (CCM) to a variational formalism. Two independent sets of distribution functions are introduced to evaluate the Hamiltonian expectation. An algebraic technique for calculating these distribution functions via two self-consistent sets of equations is given. By comparing with the traditional CCM and with Arponen's extension, it is shown that the former is equivalent to a linear approximation to one set of distribution functions and the later is equivalent to a random-phase approximation to it. In additional to these two approximations, other higher-order approximation schemes within the new formalism are also discussed. As a demonstration, we apply this technique to a quantum antiferromagnetic spin model.

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