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A numerical study of theF-model with domain walls

Jules Lamersjoint work withRick Keesman

(Utrecht U)

arXiv:1702.05474

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The F-model with domain walls

arrow configurationson the edges of

ice rule “two in, two out”

4x : + rotated

2x :

six-vertex model

entropy dominates:disordered phase

energy dominates:“anti-ferroelectric”

energy

F-model

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Quick facts about

● Related to scalar products in QISM● Applications range from combinatorics

to correlation functions in N = 4 SYM● Quantum integrable

– determinant expression for– exact free energy; finite-size corrections

● Boundary conditions influence thermodynamics!

[Korepin] [Slavnov]

[Kuperberg] [...]

[Foda] [Kostov et al]

[Izergin]

[Korepin Zinn-Justin][Bleher et al]

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Check of known features:phase coexistence & arctic curves [Colomo Pronko

Zinn-Justin]

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New features: oscillations

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Outlook

● Six-vertex model with domain walls allowsfor exact results, yet a lot remains to be explored

● Other boundaries, e.g. reflecting end? [in progress]● Analytic understanding of oscillations?● Solid-on-solid models?

arXiv:1702.05474

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Vertex-density oscillations along diagonal