Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 52, Issue 25, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/ab2064
Keywords
mixed order transition; fluctuation-dominated order; long-range interactions
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Funding
- Center for Scientific Excellence at the Weizmann Institute of Science
- Weston fellowship
- Science and Engineering Research Board (SERB, Government of India) under the VAJRA faculty scheme [VJR/2017/000110]
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Mixed order transitions are those which show a discontinuity of the order parameter as well as a divergent correlation length at the transition (critical) point. We show that the behavior of the order parameter correlation function along the transition line of mixed order transitions can change from normal critical behavior with power law decay, to fluctuation-dominated phase ordering as a parameter is varied. The defining features of fluctuation-dominated order are anomalous fluctuations which remain large in the thermodynamic limit, and correlation functions which approach a finite value through a cusp singularity as the separation scaled by the system size approaches zero. We demonstrate that fluctuation-dominated order sets in along a portion of the transition line of an Ising model with truncated long-range interactions which was earlier shown to exhibit mixed order transitions. We also argue that this connection may hold more generally.
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