%0 Journal Article %1 PhysRevB.107.045139 %A Grosvenor, Kevin T. %A Lier, Ruben %A Surówka, Piotr %D 2023 %I American Physical Society %J Phys. Rev. B %K a %N 4 %P 045139 %R 10.1103/PhysRevB.107.045139 %T Fractonic Berezinskii-Kosterlitz-Thouless transition from a renormalization group perspective %U https://link.aps.org/doi/10.1103/PhysRevB.107.045139 %V 107 %X Proliferation of defects is a mechanism that allows for topological phase transitions. Such a phase transition is found in two dimensions for the XY model, which lies in the Berezinskii-Kosterlitz-Thouless (BKT) universality class. The transition point can be found using renormalization group analysis. We apply renormalization group arguments to determine the nature of BKT transitions for the three-dimensional plaquette-dimer model, which is a model that exhibits fractonic mobility constraints. We show that an important part of this analysis demands a modified dimensional analysis that changes the interpretation of scaling dimensions upon coarse-graining. Using this modified dimensional analysis, we compute the beta functions of the model and predict a finite critical value above which the fractonic phase melts, proliferating dipoles. Importantly, the transition point is found through a renormalization group analysis that accounts for the phenomenon of UV/IR mixing, characteristic of fractonic models.

@article{PhysRevB.107.045139, abstract = {Proliferation of defects is a mechanism that allows for topological phase transitions. Such a phase transition is found in two dimensions for the XY model, which lies in the Berezinskii-Kosterlitz-Thouless (BKT) universality class. The transition point can be found using renormalization group analysis. We apply renormalization group arguments to determine the nature of BKT transitions for the three-dimensional plaquette-dimer model, which is a model that exhibits fractonic mobility constraints. We show that an important part of this analysis demands a modified dimensional analysis that changes the interpretation of scaling dimensions upon coarse-graining. Using this modified dimensional analysis, we compute the beta functions of the model and predict a finite critical value above which the fractonic phase melts, proliferating dipoles. Importantly, the transition point is found through a renormalization group analysis that accounts for the phenomenon of UV/IR mixing, characteristic of fractonic models.}, added-at = {2023-10-25T15:39:12.000+0200}, author = {Grosvenor, Kevin T. and Lier, Ruben and Surówka, Piotr}, biburl = {https://www.bibsonomy.org/bibtex/20df6f6105b7ab0ed7abe0360968648b6/ctqmat}, day = 27, description = {Phys. Rev. B 107, 045139 (2023) - Fractonic Berezinskii-Kosterlitz-Thouless transition from a renormalization group perspective}, doi = {10.1103/PhysRevB.107.045139}, interhash = {8abb3dbcf6db579295c94fe737d3ae64}, intrahash = {0df6f6105b7ab0ed7abe0360968648b6}, journal = {Phys. Rev. B}, keywords = {a}, month = {01}, number = 4, numpages = {13}, pages = 045139, publisher = {American Physical Society}, timestamp = {2024-02-23T11:14:40.000+0100}, title = {Fractonic Berezinskii-Kosterlitz-Thouless transition from a renormalization group perspective}, url = {https://link.aps.org/doi/10.1103/PhysRevB.107.045139}, volume = 107, year = 2023 }