Regensburg 2022 – wissenschaftliches Programm

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MA: Fachverband Magnetismus

MA 16: Frustrated Magnets

MA 16.2: Vortrag

Dienstag, 6. September 2022, 15:15–15:30, H37

Pseudo-Majorana approach to Spin-Systems: Advanced Diagrammatics and Applications — •Björn Sbierski — LMU München, Germany

Frustrated three-dimensional quantum magnets bear a rich phenomenology but are notoriously hard to treat theoretically. We show how a SO(3) Majorana representation of spin operators, in combination with advanced diagrammatic techniques like the functional renormalization group or the parquet approximation allows for quantitative simulations at finite temperatures. We apply our method on various frustrated Heisenberg magnets. On the cubic lattice, we study magnetic phase transitions via finite-size scaling and we also present results for the Pyrochlore lattice. We also show how the method can be applied to meet some challenges of long-range interacting spin Hamiltonians arising in the context of Rydberg atom array quantum simulators.

Based on: [1] PRB 103.104431 (2021) [2] SciPost Phys. 12, 156 (2022)