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25 April 2024
 
  » arxiv » 0807.2896

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Quantized Berry Phases of a Spin-1/2 Frustrated Two-Leg Ladder with Four-Spin Exchange
I. Maruyama ; T. Hirano ; Y. Hatsugai ;
Date 18 Jul 2008
AbstractA spin-1/2 frustrated two-leg ladder with four-spin exchange interaction is studied by quantized Berry phases. We found that the Berry phase successfully characterizes the Haldane phase in addition to the rung-singlet phase, and the dominant vector-chirality phase. The Hamiltonian of the Haldane phase is topologically identical to the S=1 antiferromagnetic Heisenberg chain. Decoupled models connected to the dominant vector-chirality phase revealed that the local object identified by the non-trivial ($pi$) Berry phase is the direct product of two diagonal singlets.
Source arXiv, 0807.2896
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