Frustrated Kondo impurity triangle: A simple model of deconfinement

König, Elio J.; Coleman, Piers; Komijani, Yashar

doi:10.1103/physrevb.104.115103

Title: Frustrated Kondo impurity triangle: A simple model of deconfinement

Journal Article · 02 September 2021 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.104.115103 · OSTI ID:1850215

^[1]; Coleman, Piers ^[2]; Komijani, Yashar ^[3]

Rutgers Univ., Piscataway, NJ (United States); Max Planck Institute for Solid State Research, Stuttgart (Germany); OSTI
Rutgers Univ., Piscataway, NJ (United States); Univ. of London (United Kingdom)
Rutgers Univ., Piscataway, NJ (United States)

We report that the concepts of deconfinement and topological order are of great current interest for quantum information science and for our understanding of quantum materials. Here, we introduce a simple model of three antiferromagnetically coupled Kondo impurities, a Kondo triangle, which can be used to further extend the application of these concepts to electronic systems. We show that, by tuning the magnetic frustration, the Kondo triangle undergoes a quantum phase transition between two phases of unbroken symmetry, signaling a phase transition beyond the Landau paradigm. We demonstrate that the frustrated spin liquid phase is described by a three-channel Kondo (3CK) fixed point and thus displays an irrational ground state degeneracy. Using an Abrikosov pseudofermion representation, this quantum state is categorized by an emergent U(1) gauge field and its projective symmetry group. The gauge theory is deconfining in the sense that a miniature Wilson loop orders and topological defects (instantons in the gauge field) are expelled. This phase persists in the presence of moderate Kondo screening until proliferation of topological defects leads to a quantum phase transition to an unfrustrated Fermi liquid phase. Based on this evidence, we propose that the 3CK phase displays topological order in a similar sense as gapless spin liquids.

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Research Organization:: Rutgers Univ., Piscataway, NJ (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-99ER45790

OSTI ID:: 1850215

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 11 Vol. 104; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Frustrated Kondo impurity triangle: A simple model of deconfinement

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