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



Ray, Shouryya, Ihrig, Bernhard, Kruti, Daniel, Gracey, John A, Scherer, Michael M and Janssen, Lukas
(2021) Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order. PHYSICAL REVIEW B, 103 (15). 155160-.

This is the latest version of this item.

[img] Text
2101.10335.pdf - Author Accepted Manuscript

Download (1MB) | Preview

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: Article
Additional Information: 18 pages, 7 figures, 3 tables, 1 ancillary file "GNSO3-exponents.m". v2: additional explanations, minor corrections
Uncontrolled Keywords: cond-mat.str-el, cond-mat.str-el, hep-th
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 16 Apr 2021 07:20
Last Modified: 18 Jan 2023 22:53
DOI: 10.1103/PhysRevB.103.155160
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3119362

Available Versions of this Item