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strong order parameter

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11 - Infinite Matrix Product States
Tao Xiang, Chinese Academy of Sciences, Beijing
Book:

Density Matrix and Tensor Network Renormalization

Published online:

18 January 2024

Print publication:

31 August 2023, pp 166-181
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Summary

This chapter discusses the properties of infinite MPS and their associated transfer matrices. The formulas for determining the expectation values of physical observables are derived and expressed using the leading eigenvectors of the transfer matrix. The concept of the string order parameter is introduced and exemplified with the AKLT state, followed by a statement on the condition for the existence of string order. Furthermore, the procedure of canonicalizing an infinite MPS with one or more than one site in a unit cell is discussed.