Universität zu Köln

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

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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
Creators:	Creators Email ORCID ORCID Put Code Ray, Shouryya UNSPECIFIED orcid.org/0000-0003-4754-0955 UNSPECIFIED Ihrig, Bernhard UNSPECIFIED UNSPECIFIED UNSPECIFIED Kruti, Daniel UNSPECIFIED orcid.org/0000-0002-2161-0874 UNSPECIFIED Gracey, John A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Scherer, Michael M. UNSPECIFIED UNSPECIFIED UNSPECIFIED Janssen, Lukas UNSPECIFIED orcid.org/0000-0003-4919-796X UNSPECIFIED
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
Uncontrolled Keywords:	Keywords Language GROSS-NEVEU MODEL; CONFORMAL BOOTSTRAP CALCULATION; CRITICAL EXPONENT-ETA; 1/N EXPANSION; LARGE N; COMPUTATION; FLOW; ZETA Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/58020