Spectroscopic signatures of crystal momentum fractionalization

Abstract

We consider gapped Z2 spin liquids, where spinon quasiparticles may carry fractional quantum numbers of space group symmetry. In particular, spinons can carry fractional crystal momentum. We show that such quantum number fractionalization has dramatic, spectroscopically accessible consequences, namely enhanced periodicity of the two-spinon density of states in the Brillouin zone, which can be detected via inelastic neutron scattering. This effect is a sharp signature of certain topologically ordered spin liquids and other symmetry enriched topological phases. Considering square lattice space group and time reversal symmetry, we show that exactly four distinct types of spectral periodicity are possible.

6 pages; v2: added reference; v3: improved introduction, typos corrected; v4: added reference

References in corpus (8)

• Identifying Topological Order by Entanglement Entropy
• A classification of symmetry enriched topological phases with exactly solvable models
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
• Quantized topological terms in weak-coupling gauge theories with symmetry and their connection to symmetry enriched topological phases
• Mutual Chern-Simons theory for Z_2 topological order
• Detection of Symmetry Enriched Topological Phases
• Symmetry-induced anyon "breeding" in fractional quantum Hall states

Cited by in corpus (45)

• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• Haldane-Hubbard Mott Insulator: From Tetrahedral Spin Crystal to Chiral Spin Liquid
• Symmetry Fractionalization in Two Dimensional Topological Phases
• Dynamical Signature of Symmetry Fractionalization in Frustrated Magnets
• Triangular lattice quantum dimer model with variable dimer density
• Crystalline gauge fields and quantized discrete geometric response for Abelian topological phases with lattice symmetry
• Spectroscopic fingerprints of gapped quantum spin liquids, both conventional and fractonic
• Detecting crystal symmetry fractionalization from the ground state: Application to ${\mathbb{Z}}_2$ spin liquids on the kagome lattice
• Fermionic symmetry fractionalization in (2+1)D
• The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Position-Dependent Excitations and UV/IR Mixing in the ${\mathbb{Z}}_N$ Rank-2 Toric Code and its Low-Energy Effective Field Theory
• Topological phase transition and single/multi anyon dynamics of $Z_2$ spin liquid
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Diagnosing Fractionalization from the Spin Dynamics of $Z_2$ Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations
• A Unified Framework of Topological Phases with Symmetry
• Classification of symmetry fractionalization in gapped ${\mathbb{Z}}_2$ spin liquids
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Space group symmetry fractionalization in a chiral kagome Heisenberg antiferromagnet
• String flux mechanism for fractionalization in topologically ordered phases
• Space group symmetry fractionalization in a family of exactly solvable models with Z2 topological order
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Non-Kitaev spin liquids in Kitaev materials
• Characterization and classification of interacting (2+1)D topological crystalline insulators with orientation-preserving wallpaper groups
• Odd Fracton Theories, Proximate Orders, and Parton Constructions
• Fermionic spin liquid analysis of the paramagnetic state in Volborthite
• Spin dynamics in the Dirac $U(1)$ spin liquid YbZn${}_2$GaO${}_5$
• Numerical detection of symmetry enriched topological phases with space group symmetry
• Quantum spin liquid and magnetic order in a two-dimensional non-symmorphic lattice: considering the distorted Kagome lattice of Volborthite
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Theory of quantum kagome ice and vison zero modes
• Classification of symmetry-enriched topological quantum spin liquids
• Measuring the Boundary Gapless State and Criticality via Disorder Operator
• Is spontaneous vortex generation in superconducting 4Hb-TaS${}_2$ from vison-vortex nucleation with ${\mathbb{Z}}_2$ topological order?
• Anomalies and symmetry fractionalization in reflection-symmetric topological order
• Fractionalizing glide reflections in two-dimensional Z2 topologically ordered phases
• Some experimental schemes to identify quantum spin liquids
• Electric polarization and discrete shift from boundary and corner charge in crystalline Chern insulators
• Magnetic Field Response of Dipolar-Octupolar Quantum Spin Ice
• Crystalline invariants of fractional Chern insulators
• Topological phases of non-symmorphic crystals : Shastry-Sutherland lattice at integer filling
• Spin dynamics of the planar kagome lattice ferromagnet with four-site ring exchange processes
• Detecting symmetry fractionalization in gapped quantum spin liquids by magnetic impurities
• Fermionized dual vortex theory for magnetized kagomé spin liquid