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Quantum spin liquids (QSL) are novel phases of matter which remain quantumdisordered even at the lowest temperature. They are characterized by emergentgauge fields and fractionalized quasiparticles. Here we show that thesub-Kelvin thermal transport of the three-dimensional $S=1/2$ hyper-hyperkagomequantum magnet PbCuTe$_2$O$_6$ is governed by a sizeable charge-neutralfermionic contribution which is compatible with the itinerant fractionalizedexcitations of a spinon Fermi surface. We demonstrate that this hallmarkfeature of the QSL state is remarkably robust against sample crystallinity,large magnetic field, and field-induced magnetic order, ruling out theimitation of QSL features by extrinsic effects. Our findings thus reveal thecharacteristic low-energy features of PbCuTe$_2$O$_6$ which qualify thiscompound as a true QSL material.

Spinon heat transport in the three-dimensional quantum magnet PbCuTe$_2$O$_6$