Incommensurate Matrix Product State for Quantum Spin Systems

Details Incommensurate Matrix Product State for Quantum Spin Systems Incommensurate Matrix Product State for Quantum Spin Systems

2011-12-09

arxiv.org/abs/1112.2075v1

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 4 figures

Scientific paper

We introduce a matrix product state (MPS) with an incommensurate periodicity by applying the spin-rotation operator of each site to a uniform MPS in the thermodynamic limit. The incommensurate MPS is applied to the spin $S=1/2$ ferro-antiferro zigzag chain, where there is a commensurate-incommensurate (C-IC) transition of the pitch of spin-spin correlations. The optimized pitch of rotational operator can reflect the incommensurate properties of spin-spin correlation functions, and can detect the C-IC change.

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