Isfahan University of Technology,
The Physics Society of IranIranian Journal of Physics Research1682-695711320191126Formalism of overlaps of valence bond states with any number of triplonFormalism of overlaps of valence bond states with any number of triplon329333939FAE GhorbaniSA JafariF ShahbaziJournal Article20191126 Resonating valence bond (RVB) states are suitable candidates for ground state of the Heisenberg model on various two dimensional lattices. When a singlet valence bond is broken to produce a triplet state, the resulting excitation is called a triplon. In this paper, we obtain formulas for the overlap and also matrix elements of si.sj operator between states with arbitrary number of triplons . Our results are valid for any 2D lattice. Resonating valence bond (RVB) states are suitable candidates for ground state of the Heisenberg model on various two dimensional lattices. When a singlet valence bond is broken to produce a triplet state, the resulting excitation is called a triplon. In this paper, we obtain formulas for the overlap and also matrix elements of si.sj operator between states with arbitrary number of triplons . Our results are valid for any 2D lattice.https://ijpr.iut.ac.ir/article_939_0d75656261f63487ed9fac5eba84bf96.pdf