Extraordinarylog Universality of Critical Phenomena in Plane Defects
Abstract
There is growing evidence that extraordinarylog critical behavior emerges on the open surfaces of critical systems in a semiinfinite geometry. Here, using extensive Monte Carlo simulations, we observe extraordinarylog critical behavior on the plane defects of O(2) critical systems in an infinite geometry. In this extraordinarylog critical phase, the largedistance twopoint correlation $G$ obeys the logarithmic finitesize scaling $G \sim ({\rm ln}L)^{\hat{q}}$ with the linear size $L$, having the critical exponent $\hat{q}=0.29(2)$. Meanwhile, the helicity modulus $\Upsilon$ follows the scaling form $\Upsilon \sim \alpha({\rm ln}L)/L$ with the universal parameter $\alpha=0.56(3)$. The values of $\hat{q}$ and $\alpha$ do not fall into any known universality class of critical phenomena, yet they conform to the scaling relation of extraordinarylog universality. We also discuss the extension of current results to a quantum system that is experimentally accessible. These findings reshape our understanding of extraordinarylog critical phenomena.
 Publication:

arXiv eprints
 Pub Date:
 January 2023
 DOI:
 10.48550/arXiv.2301.11720
 arXiv:
 arXiv:2301.11720
 Bibcode:
 2023arXiv230111720S
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Strongly Correlated Electrons;
 High Energy Physics  Lattice
 EPrint:
 15 pages, 7 figures