Fate of CPN-1 fixed points with q monopoles

Matthew S. Block, Roger G. Melko, Ribhu K. Kaul

Research output: Contribution to journalArticlepeer-review

85 Scopus citations


We present an extensive quantum Monte Carlo study of the Néel to valence-bond solid (VBS) phase transition on rectangular- and honeycomb-lattice SU(N) antiferromagnets in sign-problem-free models. We find that in contrast to the honeycomb lattice and previously studied square-lattice systems, on the rectangular lattice for small N, a first-order Néel-VBS transition is realized. On increasing N≥4, we observe that the transition becomes continuous and with the same universal exponents as found on the honeycomb and square lattices (studied here for N=5, 7, 10), providing strong support for a deconfined quantum critical point. Combining our new results with previous numerical and analytical studies, we present a general phase diagram of the stability of CPN-1 fixed points with q monopoles.

Original languageEnglish
Article number137202
JournalPhysical Review Letters
Issue number13
StatePublished - Sep 26 2013

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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