[Seminar] Mr. Kelvin Salou-Smith "3D analogue of the Shastry-Sutherland model and non-linear cellular automata"

Speaker

Mr. Kelvin Salou-Smith / LOMA, University of Bordeaux, France

Title

3D analogue of the Shastry-Sutherland model and non-linear cellular automata

Abstract

The Shastry-Sutherland lattice, a paradigmatic model in frustrated magnetism, has been the source of exciting physics in the past decades, from experimental measurements of magnetization plateaus to theoretical evidence of spin liquids. We propose here a 3D analogue of the 2D lattice which can be seen as a J1−J2 deformed pyrochlore lattice where the coordination of each site is conserved but the topology is modified. In the Quantum Heisenberg regime we find a singlet state as the exact solution in the range J2≥2J1, similarly to the 2D model, making this a rare example of a 3D system where the exact ground state is known. We find evidence, from exact diagonalization that the dimer state transitions into a full plaquette state and we perform an analysis in field to obtain magnetization plateaus.

Under 3-body Ising interactions, the 3D and 2D Shastry-Sutherland model exhibit fractal subsystem symmetries and they can be effectively described using cellular automata. I will discuss generalizations of this idea, and the addition of non-linear cellular automata, for uses in classical and quantum memory.

Biography

I’m a doctoral student studying under Ludovic Jaubert (LOMA, Bordeaux, France) and Arnaud Ralko (Néel Institute, Grenoble, France). I have mainly been interested in numerical methods for the analysis of frustrated spin systems using neural quantum states, exact diagonalization or perturbation methods, notably in dimer models and in the breathing pyrochlore model. I’ve recently been interested in fracton models based on cellular automata for classical and quantum memory. 

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Meeting ID: 948 3175 8757
Passcode: 922972