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We study the ground state (GS) many-body quantum entanglement of twodifferent transverse field models on a quasi-2D square lattice relevant to aHydrogen-bonded crystal, i.e, squaric acid. We measure the genuine multipartitequbit-entanglement ($C_{\text{GME}}(\psi)$) of the ground state of very genericmodels with all the possible cases of exchange couplings considered underdefect free and one lattice site defect conditions. Our results show thatcreation, decay of multipartite entanglement occur for different combinationsof coupling strength. When frustration is maximum the system exhibits a peak inconcurrence after a gradual increase from disentangled state at zero fieldfollowed by an asymptotic decay at large fields. In contrast, for a marginallyfrustrated (degenerate) case though the concurrence shows a peak, theentanglement is non-zero and large at zero fields. Our results discuss thesensitivity of the qubit-entanglement with underlying GS of varying degree ofdegeneracy. We conclude that despite of their similarities in ground stateproperties, yet we see a difference in the degree of entanglement between thetwo models. We conjecture this result could be due to the difference in theamount of degeneracy and the quantum ground states of both Hamiltonians thatcould dictate the results even in the thermodynamic limit.

Ground state many-body quantum entanglement of frustrated transverse field models on square lattice