Intrinsic and symmetry-protected topological orders identified via Gutzwiller-guided DMRG

We demonstrate that the newly proposed Gutzwiller-projected wavefunction-guided density matrix renormalization group (DMRG) method is a promising approach for targeting specific topological sectors. This method is illustrated through three examples: (1) benchmarking the well-known Kitaev honeycomb model; (2) determining the ground state of the antiferromagnetic Heisenberg model on a Kagome lattice; and (3) identifying a unique symmetry-protected topological phase, termed the SPT² phase and characterized by two distinct topological sectors, in SO(2n) spin chains.