Fragmentation in Frustrated Magnets -- A review

Abstract

Spin liquids are exotic phases of matter that often support emergent gauge fields and quasi-particle excitations. While spin liquids are commonly known for remaining disordered, their definition has been extended to include phases with broken symmetry corresponding to (partial) long-range order, such as chiral and nematic spin liquids for example. For Coulomb spin liquids, this ordering can be quantitatively understood via a Helmholtz decomposition between divergence-free and divergence-full terms. This phenomenon has been coined fragmentation, where spin degrees of freedom fragment into two components; the fluctuating disordered part and the ordered one. In this review, we will cover the theoretical and experimental aspects of this growing field, in particular its relation to magnetic monopoles in spin ice, its phase diagram and the possibility to observe it in solid-state crystal and artificial networks.

29 pages, 12 figures

References in corpus (17)

• Local stabilizer codes in three dimensions without string logical operators
• Why spin ice obeys the ice rules
• Theory of the [111] magnetization plateau in spin ice
• Pinch Points and Kasteleyn Transitions: How Spin Ice Changes its Entropy
• A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field
• Kagomé ice state in the dipolar spin ice Dy_{2}Ti_{2}O_{7}
• Spin Dynamics at Very Low Temperature in Spin Ice Dy${}_2$Ti${}_2$O${}_7$
• Structural and Magnetic Investigations of Single-Crystals of the Neodymium Zirconate Pyrochlore, Nd2Zr2O7
• Topological Sector Fluctuations and Curie Law Crossover in Spin Ice
• Charge ordering in a pure spin model: dipolar spin-ice
• Low-temperature magnetism in the honeycomb systems SrLn2O4
• Classical-Quantum Mappings for Geometrically Frustrated Systems: Spin Ice in a [100] Field
• Monopole ordered phases in dipolar and nearest-neighbours Ising pyrochlore: from spin ice to the "all-in--all-out" antiferromagnet
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Anisotropic exchange Hamiltonian, magnetic phase diagram and domain inversion of Nd${}_2$Zr${}_2$O${}_7$
• The multiple symmetry sustaining phase transitions of spin ice
• Theory of quantum kagome ice and vison zero modes

Cited by in corpus (3)

• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• Square ice Coulomb phase as a percolated vertex lattice
• Unusual Coulomb phase physics in the arctic square ice