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

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

1993-02-17

arxiv.org/abs/cond-mat/9302022v1

Mod.Phys.Lett. B7 (1993) 251-258

Physics

Condensed Matter

13 pages, LatTeX, CCNY-HEP-92/7

Scientific paper

10.1142/S0217984993000266

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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