Z(N) Berry phase and symmetry-protected topological phases of the SU(N) antiferromagnetic Heisenberg chain

Article

关键词: QUANTUM SPIN;    GROUND-STATES;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.98.195127

来源: SCIE

【 摘 要 】

The local Z(N) quantized Berry phase for the SU(N) antiferromagnetic Heisenberg spin model is formulated. This quantity, which is a generalization of the local Z(2) Berry phase for SU(2) symmetry, has a direct correspondence to the number of singlet pairs spanning a particular bond, and is effective as a tool to characterize and classify the various symmetry-protected topological phases of one-dimensional SU(N) spin systems. We extend the path-integral quantum Monte Carlo method for the Z(2) Berry phase in order to calculate the Z(N) Berry phase numerically. We demonstrate our method by calculating the Z(4) Berry phase for the bond-alternating SU(4) antiferromagnetic Heisenberg chain, which is represented by the Young diagram of four columns.

【 授权许可】

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