Frustrated Heisenberg antiferromagnets: fluctuation induced first order vs deconfined quantum criticality

Abstract

Recently it was argued that quantum phase transitions can be radically different from classical phase transitions with as a highlight the 'deconfined critical points' exhibiting fractionalization of quantum numbers due to Berry phase effects. Such transitions are supposed to occur in frustrated ('$J_1$-$J_2$') quantum magnets. We have developed a novel renormalization approach for such systems which is fully respecting the underlying lattice structure. According to our findings, another profound phenomenon is around the corner: a fluctuation induced (order-out-of-disorder) first order transition. This has to occur for large spin and we conjecture that it is responsible for the weakly first order behavior recently observed in numerical simulations for frustrated $S=1/2$ systems.

arXiv comment7 pages, 3 Figures, submitted to EPL

References in corpus (6)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• New quantum phase transitions in the two-dimensional J1-J2 model
• Striped phase in a quantum XY-model with ring exchange
• Weak first-order superfluid--solid quantum phase transitions
• The correlation length of the Heisenberg antiferromagnet with arbitrary spin S

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• Deconfined criticality for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions