Quantum criticality in SU(3) and SU(4) anti-ferromagnets

Details Quantum criticality in SU(3) and SU(4) anti-ferromagnets Quantum criticality in SU(3) and SU(4) anti-ferromagnets

2010-10-10

arxiv.org/abs/1010.1937v1

Phys.Rev.B84:054407,2011

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.84.054407

We study the quantum phase transition out of the N\'eel state in SU(3) and SU(4) generalizations of the Heisenberg anti-ferromagnet with sign problem free four spin coupling (so-called JQ model), by extensive quantum Monte Carlo simulations. We present evidence that the SU(3) and SU(4) order parameters and the SU(3) and SU(4) stiffness' go to zero continuously without any evidence for a first order transition. However, we also find considerable deviations from simple scaling laws for the stiffness and discuss scenarios to explain the observed behavior.

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