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Quantum spin liquid is an elusive state that display strong many-bodyentanglement with potential applications in future quantum computing. Thisstudy reports muon spin relaxation ($\mu^+$SR) measurements on a novelhigh-pressure synthesized material, the Hollandite K$_{2}$V$_8$O$_{16}$. Inthis quasi-one-dimensional compound, charge ordering (CO) at $T_{\rmMIT}\approx160$~K effectively isolates half of the vanadium chains andmodel-like Heisenberg spin-1/2 chains are realized. Our zero field $\mu^+$SRmeasurements show exponential like relaxation down to the lowest temperature$T=100$~mK and the absence of long range ordering is confirmed. The relaxationrate is found to be temperature independent below $T_{\rm QSL}\approx2$~K andmeasurements in longitudinal field confirms a highly dynamic ground state.These results represents the first confirmation of quantum spin liquid (QSL)behavior within the Hollandite family, stabilized by the CO. Finally, thepresence of strong local electron correlation and one dimensional Fermi surfacesuggest this QSL to be a gapless Tomonaga-Luttinger liquid (TLL), which hereuniquely presents itself in a stoichiometric compound under zero appliedmagnetic field and at ambient pressure.

Charge Order Stabilized Quantum Spin Liquid in Hollandite K$_2$V$_8$O$_{16}$