Abstract
On the basis of a Berry-phase analysis, we study the ground state of the Heisenberg chain for . We find that changes in the Berry phase occur times for spin- systems, indicating sequential phase transitions. The sequential phase transitions are associated with the change in valence-bond configurations of the ground states. To demonstrate this numerically, we connect the Heisenberg Hamiltonian with the generalized Affleck-Kennedy-Lieb-Tasaki model and show that the different phases are connected to the different valence-bond solid states.
- Received 1 April 2019
- Revised 12 July 2019
DOI:https://doi.org/10.1103/PhysRevB.100.014438
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