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• W2036780928 abstract "We present a numerical study of the SU($N$) Heisenberg model with the fundamental representation at each site for the kagome lattice (for $N=3$) and the checkerboard lattice (for $N=4$), which are the line graphs of the honeycomb and square lattices and thus belong to the class of bisimplex lattices. Using infinite projected entangled-pair states and exact diagonalizations, we show that in both cases the ground state is a simplex solid state with a twofold degeneracy, in which the $N$ spins belonging to a simplex (i.e., a complete graph) form a singlet. Theses states can be seen as generalizations of valence bond solid states known to be stabilized in certain SU(2) spin models." @default.
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• W2036780928 date "2012-07-23" @default.
• W2036780928 modified "2023-10-03" @default.
• W2036780928 title "Simplex solids in SU(<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>N</mml:mi></mml:math>) Heisenberg models on the kagome and checkerboard lattices" @default.
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• W2036780928 doi "https://doi.org/10.1103/physrevb.86.041106" @default.
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