Verification of the Wiedemann-Franz Law inYbRh2Si2at a Quantum Critical Point

The thermal conductivity measurements are performed on the heavy-fermion compound ${\mathrm{YbRh}}_2{\mathrm{Si}}_2$ down to 0.04 K and under magnetic fields through a quantum critical point (QCP) at $B_c=0.66\mathrm{T}\parallel c$ axis. In the limit as $T\to 0$, we find that the Wiedemann-Franz law is satisfied within experimental error at the QCP despite the destruction of the standard signature of Fermi liquid. Our results place strong constraints on models that attempt to describe the nature of the unconventional quantum criticality of ${\mathrm{YbRh}}_2{\mathrm{Si}}_2$.