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arXiv · cond-mat/9302022

Various condensed matter Hamiltonians in terms of U(2/2) operators and their symmetry structures

Ko Okumura
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Abstract

We rewrite various lattice Hamiltonian in condensed matter physics in terms of U(2/2) operators that we introduce. In this representation the symmetry structure of the models becomes clear. Especially, the Heisenberg, the supersymmetric t-J and a newly proposed high-$T_c$ superconducting Hamiltonian reduce to the same form $H=$$-t\sum_{ }\sum_{ac}X^{ac}_j X^{ca}_k (-1)^{F(c)}$. This representation also gives us a systematic way of searching for the symmetries of the system.

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Ko Okumura. 1993-02-17. Various condensed matter Hamiltonians in terms of U(2/2) operators and their symmetry structures. https://doi.org/10.1142/s0217984993000266

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