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We microscopically analyze the nearest neighbor Heisenberg model on themaple-leaf lattice through neural quantum states (NQS) and infinite densitymatrix renormalization group (iDMRG). Embarking to parameter regimes beyond theexact dimer singlet ground state with a dimer bond spin exchange coupling $J_d$varied against the exchange strength $J$ of all other bonds, iDMRG (NQS) findsa dimer state paramagnetic phase for $J_d/J > 1.464$ ($J_d/J > 1.39$) and acanted $120^\circ$ magnetic order for $J_d/J < 1.419$ ($J_d/J < 1.23$).Assessing training convergence inaccuracies of NQS and the influence of finitecylindric circumference for iDMRG, we discuss the possible existence of anintermediate phase between magnet and dimer paramagnet.

Phase diagram of the $J$-$J_d$ Heisenberg Model on the Maple-Leaf Lattice: Neural networks and density matrix renormalization group