TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.6.210
TI  - Boundary operator expansion and extraordinary phase transition in the tricritical O(N) model
PY  - 2025/06/27
UR  - https://scipost.org/SciPostPhys.18.6.210
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 6
SP  - 210
A1  - Sun, Xinyu
AU  - Jian, Shao-Kai
AB  - We study the boundary extraordinary transition of a three-dimensional (3D) tricritical $O(N)$ model. We first compute the mean-field Green's function with a general coupling of $|\vec \phi|^{2n}$ (with $n=3$ corresponding to the tricritical model) at the extraordinary phase transition. Then, using layer susceptibility, we obtain the boundary operator expansion for the transverse and longitudinal modes within the $\epsilon=3 - d$ expansion. Based on these results, we demonstrate that the tricritical point exhibits an extraordinary transition characterized by an ordered boundary for any $N$. This provides the first nontrivial example of continuous symmetry breaking in 2D in the context of boundary criticality.
ER  -

@Article{10.21468/SciPostPhys.18.6.210,
	title={{Boundary operator expansion and extraordinary phase transition in the tricritical O(N) model}},
	author={Xinyu Sun and Shao-Kai Jian},
	journal={SciPost Phys.},
	volume={18},
	pages={210},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.6.210},
	url={https://scipost.org/10.21468/SciPostPhys.18.6.210},
}