Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices

Philippe Corboz, K. Penc, Frédéric Mila, Andreas M. Läuchli

Research output: Contribution to journalArticle

26 Citations (Scopus)

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.

Original languageEnglish
Article number041106
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume86
Issue number4
DOIs
Publication statusPublished - Jul 23 2012

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Ground state
solid state
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valence
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ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices. / Corboz, Philippe; Penc, K.; Mila, Frédéric; Läuchli, Andreas M.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 86, No. 4, 041106, 23.07.2012.

Research output: Contribution to journalArticle

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