Analysis of the N=4 Hubbard ring using a counting operator

Details Analysis of the N=4 Hubbard ring using a counting operator Analysis of the N=4 Hubbard ring using a counting operator

2008-11-19

arxiv.org/abs/0811.3077v2

Physics

Condensed Matter

Strongly Correlated Electrons

reference added tot the work of Schumann, small corrections made

Scientific paper

We prove three theorems about the use of a counting operator to study the
spectrum of model Hamiltonians. We analytically calculate the eigenvalues of
the Hubbard ring with four lattice positions and apply our theorems to describe
the observed level crossings.

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