4.6 Article

Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order

Journal

PHYSICAL REVIEW B
Volume 103, Issue 15, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.155160

Keywords

-

Funding

  1. Deutsche Forschungsgemeinschaft (DFG) [SFB 1143, 247310070, SFB 1238, 277146847]
  2. Emmy Noether program [JA2306/4-1, 411750675]
  3. DFG through a Mercator Fellowship
  4. Wurzburg-Dresden Cluster of Excellence ct.qmat [EXC 2147, 390858490]

Ask authors/readers for more resources

This study characterizes the quantum critical behavior of the Gross-Neveu-SO(3) universality class using three complementary field-theoretical techniques, and obtains estimates for the correlation-length exponent, order-parameter anomalous dimension, and fermion anomalous dimension. The results are obtained by averaging over different techniques and the uncertainty displayed represents the degree of consistency among the methods.
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.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available