Eur. Phys. J. B 60, 67-73 (2007)
https://doi.org/10.1140/epjb/e2007-00328-7

Decomposition of the Fock space in two-dimensional triangle and honeycomb lattice systems

Department of Physics, Hong-Ik University, Chochiwon, Choongnam, 339-701, Korea

Corresponding author: ^a mhchung@hongik.ac.kr

Received: 30 July 2007
Revised: 13 October 2007
Published online: 29 November 2007

Abstract

We consider the symmetry group inherent in two-dimensional triangle and honeycomb lattice systems. We find analytically and numerically the character of the reducible representation for the corresponding Fock space. Using the irreducible characters and the reducible character of the representation, we decompose the Fock space explicitly. For example, we calculate the multiplicity of each irreducible representation contained in the Fock space.