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Formalism of overlaps of valence bond states with any number of triplon

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Author(s): E Ghorbani | SA Jafari | F Shahbazi

Journal: Iranian Journal of Physics Research
ISSN 1682-6957

Volume: 11;
Issue: 3;
Start page: 329;
Date: 2011;
Original page

Keywords: Resonwting valence bound | two dimensional lattice | triplon

ABSTRACT
  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.
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Tango Jona
Tangokurs Rapperswil-Jona