%0 Journal Article %1 PhysRevB.103.155160 %A Ray, Shouryya %A Ihrig, Bernhard %A Kruti, Daniel %A Gracey, John A. %A Scherer, Michael M. %A Janssen, Lukas %D 2021 %I American Physical Society %J Phys. Rev. B %K a %N 15 %P 155160 %R 10.1103/PhysRevB.103.155160 %T Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order %U https://link.aps.org/doi/10.1103/PhysRevB.103.155160 %V 103 %X Two-dimensional spin-orbital magnets with strong exchange frustration have recently been predicted to facilitate the realization of a quantum critical point in the Gross-Neveu-SO(3) universality class. In contrast to previously known Gross-Neveu-type universality classes, this quantum critical point separates a Dirac semimetal and a long-range-ordered phase, in which the fermion spectrum is only partially gapped out. Here, we characterize the quantum critical behavior of the Gross-Neveu-SO(3) universality class by employing three complementary field-theoretical techniques beyond their leading orders. We compute the correlation-length exponent ν, the order-parameter anomalous dimension ηϕ, and the fermion anomalous dimension ηψ using a three-loop ε expansion around the upper critical space-time dimension of four, a second-order large-N expansion (with the fermion anomalous dimension obtained even at the third order), as well as a functional renormalization group approach in the improved local potential approximation. For the physically relevant case of N=3 flavors of two-component Dirac fermions in 2+1 space-time dimensions, we obtain the estimates 1/ν=1.03(15), ηϕ=0.42(7), and ηψ=0.180(10) from averaging over the results of the different techniques, with the displayed uncertainty representing the degree of consistency among the three methods.

@article{PhysRevB.103.155160, abstract = {Two-dimensional spin-orbital magnets with strong exchange frustration have recently been predicted to facilitate the realization of a quantum critical point in the Gross-Neveu-SO(3) universality class. In contrast to previously known Gross-Neveu-type universality classes, this quantum critical point separates a Dirac semimetal and a long-range-ordered phase, in which the fermion spectrum is only partially gapped out. Here, we characterize the quantum critical behavior of the Gross-Neveu-SO(3) universality class by employing three complementary field-theoretical techniques beyond their leading orders. We compute the correlation-length exponent ν, the order-parameter anomalous dimension ηϕ, and the fermion anomalous dimension ηψ using a three-loop ε expansion around the upper critical space-time dimension of four, a second-order large-N expansion (with the fermion anomalous dimension obtained even at the third order), as well as a functional renormalization group approach in the improved local potential approximation. For the physically relevant case of N=3 flavors of two-component Dirac fermions in 2+1 space-time dimensions, we obtain the estimates 1/ν=1.03(15), ηϕ=0.42(7), and ηψ=0.180(10) from averaging over the results of the different techniques, with the displayed uncertainty representing the degree of consistency among the three methods.}, added-at = {2021-05-12T12:53:45.000+0200}, author = {Ray, Shouryya and Ihrig, Bernhard and Kruti, Daniel and Gracey, John A. and Scherer, Michael M. and Janssen, Lukas}, biburl = {https://www.bibsonomy.org/bibtex/2b15fd4b76dd57f385a6751ddb7083b29/ctqmat}, description = {Phys. Rev. B 103, 155160 (2021) - Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order}, doi = {10.1103/PhysRevB.103.155160}, interhash = {ed7dbfda4f5343a0c933db1791a77d71}, intrahash = {b15fd4b76dd57f385a6751ddb7083b29}, journal = {Phys. Rev. B}, keywords = {a}, month = apr, number = 15, numpages = {18}, pages = 155160, publisher = {American Physical Society}, timestamp = {2023-01-16T14:49:29.000+0100}, title = {Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order}, url = {https://link.aps.org/doi/10.1103/PhysRevB.103.155160}, volume = 103, year = 2021 }