Advances and Applications in Discrete Mathematics
Volume 1, Issue 1, Pages 35 - 40
(January 2008)
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REDUCTION OF THE TWO DIMENSIONAL TRIANGULAR LATTICE SYSTEMS USING SYMMETRY GROUP
Byungbae Kim (Korea)
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Abstract: We consider the honeycomb lattice which consists of doubly layered triangular lattices and find its symmetry group inherent in the lattice system. Using this symmetry group one can find the irreducible character of this group which will help us breaking up the Fock space into small pieces according to its multiplicities of the irreducible pieces to diagonalize any Hamiltonian which respects this symmetry in our lattice system. |
Keywords and phrases: triangular lattice, symmetry, group representations. |
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