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We investigate the ground state and finite-temperature properties of thespin-1/2 Heisenberg antiferromagnet on an infinite octa-kagome lattice byutilizing state-of-the-art tensor network-based numerical methods. It is shownthat the ground state has a vanishing local magnetization and possesses a$1/2$-magnetization plateau with up-down-up-up spin configuration. A quantumphase transition at the critical coupling ratio $J_{d}/J_{t}=0.6$ is found.When $0<J_{d}/J_{t}<0.6$, the system is in a valence bond state, where anobvious zero-magnetization plateau is observed, implying a gapful spinexcitation; when $J_{d}/J_{t}>0.6$, the system exhibits a gapless excitation,in which the dimer-dimer correlation is found decaying in a power law, whilethe spin-spin and chiral-chiral correlation functions decay exponentially. Atthe isotropic point ($J_{d}/J_{t}=1$), we unveil that at low temperature ($T$)the specific heat depends linearly on $T$, and the susceptibility tends to aconstant for $T\rightarrow 0$, giving rise to a Wilson ratio around unity,implying that the system under interest is a fermionic algebraic quantum spinliquid.

Fermionic algebraic quantum spin liquid in an octa-kagome frustrated antiferromagnet