[Seminar] Dr. Jeanne Colbois "Constrained limits of classical frustrated Ising models from tensor networks"

Speaker

Dr. Jeanne Colbois
Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, France

Title

Constrained limits of classical frustrated Ising models from tensor networks

Abstract

Classical frustrated Ising models often give rise to exotic emergent phases due to their macroscopic ground-state degeneracy. The partition function of short-range models can be written as the contraction of a tensor network, modulo a non-trivial transformation that allows standard tensor network algorithms to converge [1]. Here, I would like to introduce this approach on the triangular lattice Ising antiferromagnet with and without a magnetic field, recovering well-known results and exploring how the Potts critical line approaches the Kosterlitz-Thouless transition in this model [2]. Then, I will discuss a
farther-neighbor kagome lattice Ising model, partially motivated by artificial spin systems, where three macroscopically degenerate ground state phases can be found [3]. I will focus in particular on an interesting limit where we observe plateaus in a string order parameter [4].

References
¹B. Vanhecke, J. Colbois, et al., Phys. Rev. Research 3, 013041 (2021).
²S. Nyckees, A. Rufino, F. Mila, and J. Colbois, Arxiv:2306.09046.
³J. Colbois, B. Vanhecke, et al., Phys. Rev. B 106, 174403 (2022).
⁴A. Rufino, S. Nyckees, J. Colbois, and F. Mila, In preparation.

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