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High Bott Index and Magnon Transport in Multi-Band Systems

Published:Dec 30, 2025 12:37
1 min read
ArXiv

Analysis

This paper explores the topological properties and transport behavior of magnons (quasiparticles in magnetic systems) in a multi-band Kagome ferromagnetic model. It focuses on the bosonic Bott index, a real-space topological invariant, and its application to understanding the behavior of magnons. The research validates the use of Bott indices greater than 1, demonstrating their consistency with Chern numbers and bulk-boundary correspondence. The study also investigates how disorder and damping affect magnon transport, providing insights into the robustness of the Bott index and the transport of topological magnons.
Reference

The paper demonstrates the validity of the bosonic Bott indices of values larger than 1 in multi-band magnonic systems.

Analysis

This paper revisits the connection between torus knots and Virasoro minimal models, extending previous work by leveraging the 3D-3D correspondence and bulk-boundary correspondence. It provides a new framework for understanding and calculating characters of rational VOAs, offering a systematic approach to derive these characters from knot complement data. The work's significance lies in bridging different areas of physics and mathematics, specifically knot theory, conformal field theory, and gauge theory, to provide new insights and computational tools.
Reference

The paper provides new Nahm-sum-like expressions for the characters of Virasoro minimal models and other related rational conformal field theories.