Evidence for correlation effects in noncentrosymmetric type II Weyl semimetals

The interplay of topology with electronic correlations has been explored only recently and is acquiring increasing interest in the on-going solid state physics research, since it leads to concepts of paramount importance for the understanding of innovative functionalities in quantum materials.

Enlarged view: Fig. 1.20
Fig. 1.20: Interband contribution Δσ1(ω) = σ1(ω) - σ1Drude(ω) at 5 K for (a) LaAlGe and (b) CeAlGe, obtained by subtracting the calculated Drude intraband (σ1Drude(ω)) component from the total σ1(ω) (see insets). The thick dashed lines emphasise the linear frequency dependences of Δσ1(ω), encountered in selected energy intervals (colored shaded areas). The vertical dashed and dotted lines mark the characteristic frequencies Ω1 and Ω2, which define the onset of linearities in Δσ1(ω). The insets highlight Δσ1(ω) at FIR energies together with the contribution σ1Drude(ω) obtained within the two-Drude approach (i.e., sum of the narrow (D1) and broad (D2) Drude terms). A similar procedure was applied at all T.  

The family of the noncentrosymmetric RAlGe (R = rare earth) materials is a suitable arena in order to advance our knowledge on novel topological states which cover all varieties of Weyl semimetals, inversion and time-reversal breaking symmetry, depending on a suitable choice of the R element.

Our work presents measurements of the optical reflectivity, collected from the far-infrared to the ultraviolet at nearly normal incidence as a function of temperature. This is the prerequisite in order to perform reliable Kramers-Kronig transformation of the measured quantity, giving access to all optical functions. A dedicated analysis with theoretically based tools allows achieving a set of guiding parameters, which are footprints of a correlated electronic topological state.

From the charge dynamics of LaAlGe and CeAlGe we indeed discover that the dispersion of the type II Weyl nodes (Fig 1.20) is affected by the strong band renormalisation due to the Kondo coupling mechanism at low temperatures in (4f1 orbitals) CeAlGe. This renormalisation greatly reduces the Fermi velocity (Fig 1.21) and remarkably enhances the charge carriers effective mass in CeAlGe with respect to LaAlGe, both effects being considered as fingerprint for the rare Weyl-Kondo state.
 

Enlarged view: Fig. 1.21
Fig. 1.21: T dependence of the Fermi velocity vF, extracted from Δσ1(ω) (Fig. 1.20). The dash-dot line for CeAlGe is a guide to the eyes, while the dashed one for LaAlGe corresponds to the functional vF ~ A + B ln (1/T). The tilting parameter is shown for CeAlGe, as well. Inset: T dependence of the total Drude SW (i.e., ωp2 = ωp,D12 + ωp,D22, ωp,Di being the plasma frequencies of D1 and D2 Drude terms), which follows a T2 behaviour (thick dashed line) below 200 K for both compounds.
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