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  • Letter
  • Open Access

Orbital moiré and quadrupolar triple-q physics in a triangular lattice

Kazumasa Hattori

Takayuki Ishitobi

Hirokazu Tsunetsugu

  • The Institute for Solid State Physics, The University of Tokyo, Kashiwanoha 5-1-5, Chiba 277-8581, Japan

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Phys. Rev. Research 6, L042068 – Published 26 December, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L042068

Abstract

We numerically study orders of planer type (xy,x2−y2) quadrupoles on a triangular lattice with nearest-neighbor isotropic J and anisotropic K interactions. This type of quadrupole possesses unique single-ion anisotropy proportional to a third order of the quadrupole moments. This provides an unconventional mechanism of triple-q orders which does not exist for the degrees of freedom with odd parity under time-reversal operation such as magnetic dipoles. In addition to several single-q orders, we find various orders including incommensurate triple-q quasi-long-range orders with orbital moiré and a four-sublattice triple-q partial order. Our Monte Carlo simulations demonstrate that the phase transition to the latter triple-q state belongs to the universality class of the critical line of the Ashkin-Teller model in two dimensions close to the four-state Potts class. These results indicate a possibility of realizing unique quadrupole textures in simple triangular systems.

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Phys. Rev. Research 6, L042068– Published 26 December, 2024
  • Received 4 August 2024
  • Accepted 4 December 2024
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