%0 Journal Article %1 PhysRevB.101.235118 %A Janssen, Lukas %A Wang, Wei %A Scherer, Michael M. %A Meng, Zi Yang %A Xu, Xiao Yan %D 2020 %I American Physical Society %J Phys. Rev. B %K a b %N 23 %P 235118 %R 10.1103/PhysRevB.101.235118 %T Confinement transition in the QED$_3$-Gross-Neveu-XY universality class %U https://link.aps.org/doi/10.1103/PhysRevB.101.235118 %V 101 %X The coupling between fermionic matter and gauge fields plays a fundamental role in our understanding of nature, while at the same time posing a challenging problem for theoretical modeling. In this situation, controlled information can be gained by combining different complementary approaches. Here, we study a confinement transition in a system of Nf flavors of interacting Dirac fermions charged under a U(1) gauge field in 2+1 dimensions. Using quantum Monte Carlo simulations, we investigate a lattice model that exhibits a continuous transition at zero temperature between a gapless deconfined phase, described by three-dimensional quantum electrodynamics, and a gapped confined phase, in which the system develops valence-bond-solid order. We argue that the quantum critical point is in the universality class of the QED3-Gross-Neveu-XY model. We study this field theory within a 1/Nf expansion in fixed dimension as well as a renormalization group analysis in 4−ε space-time dimensions. The consistency between numerical and analytical results is revealed from large to intermediate flavor number.

@article{PhysRevB.101.235118, abstract = {The coupling between fermionic matter and gauge fields plays a fundamental role in our understanding of nature, while at the same time posing a challenging problem for theoretical modeling. In this situation, controlled information can be gained by combining different complementary approaches. Here, we study a confinement transition in a system of Nf flavors of interacting Dirac fermions charged under a U(1) gauge field in 2+1 dimensions. Using quantum Monte Carlo simulations, we investigate a lattice model that exhibits a continuous transition at zero temperature between a gapless deconfined phase, described by three-dimensional quantum electrodynamics, and a gapped confined phase, in which the system develops valence-bond-solid order. We argue that the quantum critical point is in the universality class of the QED3-Gross-Neveu-XY model. We study this field theory within a 1/Nf expansion in fixed dimension as well as a renormalization group analysis in 4−ε space-time dimensions. The consistency between numerical and analytical results is revealed from large to intermediate flavor number.}, added-at = {2020-06-17T09:06:24.000+0200}, author = {Janssen, Lukas and Wang, Wei and Scherer, Michael M. and Meng, Zi Yang and Xu, Xiao Yan}, biburl = {https://www.bibsonomy.org/bibtex/24ae360f58e056e7dc68ae4421c723de7/ctqmat}, day = 04, description = {Phys. Rev. B 101, 235118 (2020) - Confinement transition in the ${\mathrm{QED}}_{3}$-Gross-Neveu-XY universality class}, doi = {10.1103/PhysRevB.101.235118}, interhash = {a63ef958d9beeab20c41a18ea98aee4f}, intrahash = {4ae360f58e056e7dc68ae4421c723de7}, journal = {Phys. Rev. B}, keywords = {a b}, month = {06}, number = 23, numpages = {10}, pages = 235118, publisher = {American Physical Society}, timestamp = {2023-10-31T15:38:27.000+0100}, title = {Confinement transition in the QED$_{\mathbf{3}}$-Gross-Neveu-XY universality class}, url = {https://link.aps.org/doi/10.1103/PhysRevB.101.235118}, volume = 101, year = 2020 }