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Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials

Lasse Gresista1,2,*, Daniel Lozano-Gómez3, Matthias Vojta3, Simon Trebst1, and Yasir Iqbal2

  • *Contact author: gresista@thp.uni-koeln.de
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Phys. Rev. Research 7, 033109 – Published 1 August, 2025

DOI: https://doi.org/10.1103/3y39-9ndv

Abstract

Motivated by the magnetism of pyrochlore oxides, we consider the effect of quantum fluctuations in the most general symmetry-allowed nearest-neighbor Kramers exchange Hamiltonian on the pyrochlore lattice. At the classical level, this Hamiltonian exhibits a rich landscape of classical spin liquids and a variety of nonconventional magnetic phases. In contrast, much remains unclear for the quantum model, where quantum fluctuations have the potential to alter the classical landscape and stabilize novel magnetic phases. Employing state-of-the-art pseudofermion functional renormalization group calculations for the spin-1/2 model, we determine the quantum phase diagram at relevant cross-sections, where the classical model hosts an algebraic nodal rank-2 spin liquid and a spin nematic order. We find large regions in parameter space where dipolar magnetic order is absent, and, based on known fingerprints in the correlation functions, we suggest that this nonconventional region is composed of an ensemble of distinct phases stabilized by quantum fluctuations. Our results hint at the existence of a spin nematic phase, and we identify the quantum analog of the classical rank-2 spin liquid. Furthermore, we highlight the importance of assessing the subtle interplay of quantum and thermal fluctuations in reconciling the experimental findings on the nature of magnetic order in Yb2Ti2O7.

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Corrections

4 December, 2025

Correction: Figures 3 and 7 were interchanged to appear with the proper captions.

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Phys. Rev. Research 7, 033109– Published 1 August, 2025
  • Received 3 April 2025
  • Accepted 1 July 2025
  • Corrected 4 December 2025
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