A classification of spin 1/2 matrix product states with two dimensional auxiliary matrices

We classify the matrix product states having only spin-flip and parity symmetries, which can be constructed from two dimensional auxiliary matrices. We show that there are three distinct classes of such states and in each case, we determine the parent Hamiltonian and the points of possible quantum phase transitions. For two of the models, the interactions are three-body and for the other the interaction is two-body.

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Year of publication:	2010
Authors:	Asoudeh, Marzieh
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 389.2010, 8, p. 1555-1564
Publisher:	Elsevier
Subject:	Spin systems \| Matrix product states \| Phase transitions

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10010588835