摘要
We extend the nonlocality transfer matrix framework to quantum phases exhibiting spontaneous translational symmetry breaking. We show that for a broad family of these phases, the standard assumption-wherein the spatial periodicity of the transfer matrix (uT) matches that of the ground state (u)-is insufficient to capture the maximal violation of Bell-type inequalities. Instead, we establish that an optimal construction with uT = 2u is physically required to fully detect multipartite nonlocality in these regimes. Applying this generalized framework to the axial next-nearest-neighbor Ising model and the Kitaev-Heisenberg chain, we demonstrate that the extended nonlocality spectrum reveals multipartite nonlocality hidden by the conventional approach and provides sensitive signatures of quantum phase transitions.