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arXiv · 1102.2522

Supergroup approach to the Hubbard model

V. Zharkov·V. Kirchanov
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Abstract

Based on the revealed hidden supergroup structure, we develop a new approach to the Hubbard model. We reveal a relation of even Hubbard operators to the spinor representation of the generators of the rotation group of four-dimensional spaces. We propose a procedure for constructing a matrix representation of translation generators, yielding a curved space on which dynamic superfields are defined. We construct a new deformed nonlinear superalgebra for the regime of spinless Hubbard model fermions in the case of large on-site repulsion and evaluate the effective functional for spinless fermions.

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V. Zharkov, V. Kirchanov. 2011-02-12. Supergroup approach to the Hubbard model. https://doi.org/10.1007/s11232-011-0015-0

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