Lattice model for the SU(N) néel to valence-bond solid quantum phase transition at large N

Ribhu K. Kaul, Anders W. Sandvik

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Abstract

We generalize the SU(N=2) S=1/2 square-lattice quantum magnet with nearest-neighbor antiferromagnetic coupling (J 1) and next-nearest-neighbor ferromagnetic coupling (J 2) to arbitrary N. For all N>4, the ground state has valence-bond-solid order for J 2=0 and Néel order for J 2/J 11, allowing us access to the transition between these types of states for large N. Using quantum MonteCarlo simulations, we show that both order parameters vanish at a single quantum-critical point, whose universal exponents for large enough N (here up to N=12) approach the values obtained in a 1/N expansion of the noncompact CPN -1 field theory. These results lend strong support to the deconfined quantum-criticality theory of the Néel-valence-bond-solid transition.

Original languageEnglish (US)
Article number137201
JournalPhysical review letters
Volume108
Issue number13
DOIs
StatePublished - Mar 28 2012

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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