Ray, Shouryya ORCID: 0000-0003-4754-0955, Ihrig, Bernhard, Kruti, Daniel ORCID: 0000-0002-2161-0874, Gracey, John A., Scherer, Michael M. and Janssen, Lukas ORCID: 0000-0003-4919-796X (2021). Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order. Phys. Rev. B, 103 (15). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969
Full text not available from this repository.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 nu, the order-parameter anomalous dimension eta(phi), and the fermion anomalous dimension eta(psi) using a three-loop epsilon 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/nu = 1.03(15), eta(phi) = 0.42(7), and eta(psi) = 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.
Item Type: | Journal Article | ||||||||||||||||||||||||||||
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URN: | urn:nbn:de:hbz:38-580203 | ||||||||||||||||||||||||||||
DOI: | 10.1103/PhysRevB.103.155160 | ||||||||||||||||||||||||||||
Journal or Publication Title: | Phys. Rev. B | ||||||||||||||||||||||||||||
Volume: | 103 | ||||||||||||||||||||||||||||
Number: | 15 | ||||||||||||||||||||||||||||
Date: | 2021 | ||||||||||||||||||||||||||||
Publisher: | AMER PHYSICAL SOC | ||||||||||||||||||||||||||||
Place of Publication: | COLLEGE PK | ||||||||||||||||||||||||||||
ISSN: | 2469-9969 | ||||||||||||||||||||||||||||
Language: | English | ||||||||||||||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||||||||||||||
Subjects: | no entry | ||||||||||||||||||||||||||||
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URI: | http://kups.ub.uni-koeln.de/id/eprint/58020 |
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