Various condensed matter Hamiltonians in terms of U(2/2) operators and their symmetry structures
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-Tc superconducting Hamiltonian reduce to the same form H=-tΣ<jk>ΣacXacj Xcak (-1)F(c). This representation also gives us a systematic way of searching for the symmetries of the system.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.