Abstract
Recently it was argued that quantum phase transitions can beradically different from classical phase transitions with, as ahighlight, the “deconfined critical points” exhibitingfractionalization of quantum numbers due to Berry phase effects.Such transitions are supposed to occur in frustrated(“J1-J2”) quantum magnets. We have developed a novelrenormalization approach for such systems which is fully respectingthe underlying lattice structure. According to our findings, anotherprofound phenomenon is around the corner: a fluctuation-induced(order-out-of-disorder) first-order transition. This has to occurfor large spin and we conjecture that it is responsible for theweakly first-order behavior recently observed in numericalsimulations for frustrated S = 1/2 systems.
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