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The Influence of Boundary Conditions in the Six-Vertex Model

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arxiv cond-mat/0205192 v1 pith:JSSS6UOP submitted 2002-05-09 cond-mat.stat-mech

P. Zinn-Justin This is my paper · ORCID
classification cond-mat.stat-mech
keywords boundaryconditionsmodelsix-vertexdiscussinfluenceansatzarbitrary
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We discuss the influence of boundary conditions on the continuum limit of the six-vertex model by deriving a variational principle for the associated height function with arbitrary fixed boundary conditions. We discuss its consequences using the known phase diagram of the six-vertex model. In some particular cases we compute explicitly the corresponding partial differential equations by means of the Bethe Ansatz.

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  1. The Frustration of being Odd: How Boundary Conditions can destroy Local Order

    cond-mat.stat-mech 2019-08 conditional novelty 6.0 of 10

    For an antiferromagnetic spin-1/2 ring with an odd number of sites, the spontaneous magnetization decays algebraically to zero and is ferromagnetic-looking, so boundary conditions can destroy local order.

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