Competing Gauge Fields and Entropically-Driven Spin Liquid to Spin Liquid Transition in non-Kramers Pyrochlores

Abstract

Gauge theories are powerful tools in theoretical physics, allowing complex phenomena to be reduced to simple principles, and are used in both high-energy and condensed matter physics. In the latter context, gauge theories are becoming increasingly popular for capturing the intricate spin correlations in spin liquids, exotic states of matter in which the dynamics of quantum spins never ceases, even at absolute zero temperature. We consider a spin system on a three-dimensional pyrochlore lattice where emergent gauge fields not only describe the spin liquid behaviour at zero temperature but crucially determine the system's temperature evolution, with distinct gauge fields giving rise to different spin liquid phases in separate temperature regimes. Focusing first on classical spins, in an intermediate temperature regime, the system shows an unusual coexistence of emergent vector and matrix gauge fields where the former is known from classical spin ice systems while the latter has been associated with fractonic quasiparticles, a peculiar type of excitation with restricted mobility. Upon cooling, the system transitions into a low-temperature phase where an entropic selection mechanism depopulates the degrees of freedom associated with the matrix gauge field, rendering the system spin ice like. We further provide numerical evidence that in the corresponding quantum model, a spin liquid with coexisting vector and matrix gauge fields has a finite window of stability in the parameter space of spin interactions down to zero temperature. Finally, we discuss the relevance of our findings for non-Kramers pyrochlore materials.

13 pages, 5 figures

References in corpus (11)

• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Quantum order by disorder and accidental soft mode Er2Ti2O7
• Quantum spin liquids in frustrated spin-1 diamond antiferromagnets
• Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
• Absent pinch points and emergent clusters: further neighbour interactions in the pyrochlore Heisenberg antiferromagnet
• Pseudo-fermion functional renormalization group for spin models
• Order-by-disorder near criticality in $XY$ pyrochlore magnets
• Loop algorithm for classical Heisenberg models with spin-ice type degeneracy
• Thermodynamics and fractal dynamics of nematic spin ice, a doubly frustrated pyrochlore Ising magnet
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice

Cited by in corpus (11)

• Pseudo-fermion functional renormalization group for spin models
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Order-by-disorder without quantum zero-point fluctuations in the pyrochlore Heisenberg ferromagnet with Dzyaloshinskii-Moriya interactions
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Pinch-line spin liquids as layered Coulomb phases and applications to cubic models
• Quantum Spin Liquids Stabilized by Disorder in Non-Kramers Pyrochlores
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Quantum Coulomb Liquids of Different Rank in the Breathing Pyrochlore Antiferromagnet