Abstract
Recently, it was argued that quantum phase transitions in frustrated two dimensional antiferromagnets can be radically different from their classical counterparts with as a highlight, the “deconfined critical points” exhibiting fractionalization of quantum numbers due to Berry phase effects. However, field theoretical descriptions rest on a naïve coarse graining of the microscopic lattice model assuming order parameter fluctuations on small scales to be smooth. We have developed a novel renormalization approach for such systems which incorporates fluctuations on small scales in a natural way, and is fully respecting the underlying lattice structure and the frustration mechanism. According to our findings, another profound phenomenon is around the corner: a fluctuation induced first order transition.
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This work was supported by Dutch Science Foundation NWO/FOM.
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Krüger, F. Is Deconfined Quantum Criticality in Frustrated Antiferromagnets Ruled Out by Generic Fluctuation Induced First Order Behavior?. J Supercond Nov Magn 20, 575–578 (2007). https://doi.org/10.1007/s10948-007-0263-2
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DOI: https://doi.org/10.1007/s10948-007-0263-2