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


Tuesday, September 5, 2023 - 15:00 to 16:30





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


Constrained limits of classical frustrated Ising models from tensor networks


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].

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.


Join Zoom Meeting

Meeting ID: 984 1846 2519
Passcode: 009490

All-OIST Category: 

Subscribe to the OIST Calendar: Right-click to download, then open in your calendar application.