Spectroscopic signatures of crystal momentum fractionalization
نویسندگان
چکیده
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.
منابع مشابه
Signatures of electron fractionalization in ultraquantum bismuth.
Because of the long Fermi wavelength of itinerant electrons, the quantum limit of elemental bismuth (unlike most metals) can be attained with a moderate magnetic field. The quantized orbits of electrons shrink with increasing magnetic field. Beyond the quantum limit, the circumference of these orbits becomes shorter than the Fermi wavelength. We studied transport coefficients of a single crysta...
متن کاملRaman spectroscopic signature of fractionalized excitations in the harmonic-honeycomb iridates β- and γ-Li2IrO3
The fractionalization of elementary excitations in quantum spin systems is a central theme in current condensed matter physics. The Kitaev honeycomb spin model provides a prominent example of exotic fractionalized quasiparticles, composed of itinerant Majorana fermions and gapped gauge fluxes. However, identification of the Majorana fermions in a three-dimensional honeycomb lattice remains elus...
متن کاملNumerical detection of symmetry enriched topological phases with space group symmetry
Topologically ordered phases of matter, in particular so-called symmetry enriched topological (SET) phases, can exhibit quantum number fractionalization in the presence of global symmetry. In Z2 topologically ordered states in two dimensions, fundamental translations Tx and Ty acting on anyons can either commute or anticommute. This property, crystal momentum fractionalization, can be seen in a...
متن کاملOne-dimensional Uranium(VI) Coordination Polymer Complex Containing Dimethyl and Trimethyl Phosphate Ligands: Synthesis, Spectroscopic Characterization, Thermal Analyses, and Crystal Structure
A new one-dimensional uranium(VI) coordination polymer, [UO2(μ-DMP)2(TMP)]n (1) (DMP is dimethyl phosphate and TMP is trimethyl phosphate), was prepared from the reaction of UO2(NO3)2.6H2O and TMP in in THF (THF is tetrahydrofuran) as a solvent. Suitable crystals of this complex for crystal structure determination were obtained by slow evaporation of the produced yellow solution at room tempera...
متن کاملWeyl spin liquids.
The fractionalization of quantum numbers in interacting quantum many-body systems is a central motif in condensed-matter physics with prominent examples including the fractionalization of the electron in quantum Hall liquids or the emergence of magnetic monopoles in spin-ice materials. Here, we discuss the fractionalization of magnetic moments in three-dimensional Kitaev models into Majorana fe...
متن کامل