Topological Order and Degenerate Singular Value Spectrum in Two-Dimensional Dimerized Quantum Heisenberg Model

Understand

We study the connection between topological order and degeneracy of the singular value spectrum by explicitly solving the two-dimensional dimerized quantum Heisenberg model in the form of tensor product state ansatz.

• Based on the ground state solution, we find non-zero topological entanglement entropy at the frustrated regime.
• It indicates a possible topological phase.
• Furthermore, we find that the singular value spectrum associated with each link in tensor product state is doubly degenerate only in this phase.