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  • Letter
  • Open Access

Proximate Tomonaga-Luttinger liquid in an anisotropic Kitaev-Gamma model

Matthias Gohlke1, Jose Carlos Pelayo2, and Takafumi Suzuki3

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Phys. Rev. B 109, L220410 – Published 20 June, 2024

DOI: https://doi.org/10.1103/PhysRevB.109.L220410

Abstract

The characterization of quantum spin liquid phases in Kitaev materials has been a subject of intensive studies over the recent years, both theoretically and experimentally. Most theoretical studies have focused on an isotropically interacting model with its coupling strength being equivalent on each bond in an attempt to simplify the problem. In this Letter, we study an extended spin-1/2 Kitaev-Γ model on a honeycomb lattice with an additional tuning parameter that controls the coupling strength on one of the bonds: We connect the limit of isolated Kitaev-Γ chains, which is known to exhibit an emergent SU(2)1 Tomonaga-Luttinger liquid phase [Yang et al., Phys. Rev. Lett. 124, 147205 (2020)], to the two-dimensional model. We report on an instance, in which properties of the Tomonaga-Luttinger liquid persist for finite interchain coupling forming a phase we call the proximate Tomonaga-Luttinger liquid (pTLL). This pTLL is strongly anisotropic in character analogous to sliding Luttinger liquids, and features spinon-like excitations similar to those of the antiferromagnetic Heisenberg chain. We use numerical exact diagonalization and density matrix renormalization group on various cluster geometries in a complementary way to overcome finite-size limitations.

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Phys. Rev. B 109, L220410– Published 20 June, 2024
  • Received 27 December 2023
  • Accepted 29 April 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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