Callan-Rubakov effects in topological insulators

Fuente: arXiv
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Autori principali: Nakai, Yusuke O., Dsouza, Reuel, Nakamura, Daichi, Hamanaka, Shu, Schnyder, Andreas P., Sato, Masatoshi
Natura: Preprint
Pubblicazione: 2025
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author Nakai, Yusuke O.
Dsouza, Reuel
Nakamura, Daichi
Hamanaka, Shu
Schnyder, Andreas P.
Sato, Masatoshi
author_facet Nakai, Yusuke O.
Dsouza, Reuel
Nakamura, Daichi
Hamanaka, Shu
Schnyder, Andreas P.
Sato, Masatoshi
contents The Callan-Rubakov effect describes monopole-catalyzed proton decay. While this effect is fundamental for quantum field theories, its experimental observation has remained far from reality. Here, we reveal a similar, but experimentally reachable, defect-catalysis of the quantum anomaly in topological materials. In particular, surface Dirac fermions on topological insulators develop a distinct localized state at the position of dislocations or $π$-fluxes, which mediates spin-flip time-reversal breaking scattering or absorption of electrons. Despite the Hermiticity of topological insulators, a non-Hermitian topological number guarantees the robust existence of the localized state. Our finding implies that non-magnetic defects may behave like magnetic impurities on surfaces of topological insulators. Using the K-theory classification, we generalize this condensed-matter version of the Callan-Rubakov effect to other classes of topological materials.
format Preprint
id arxiv_https___arxiv_org_abs_2502_16729
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Callan-Rubakov effects in topological insulators
Nakai, Yusuke O.
Dsouza, Reuel
Nakamura, Daichi
Hamanaka, Shu
Schnyder, Andreas P.
Sato, Masatoshi
Mesoscale and Nanoscale Physics
Materials Science
Strongly Correlated Electrons
Superconductivity
High Energy Physics - Theory
The Callan-Rubakov effect describes monopole-catalyzed proton decay. While this effect is fundamental for quantum field theories, its experimental observation has remained far from reality. Here, we reveal a similar, but experimentally reachable, defect-catalysis of the quantum anomaly in topological materials. In particular, surface Dirac fermions on topological insulators develop a distinct localized state at the position of dislocations or $π$-fluxes, which mediates spin-flip time-reversal breaking scattering or absorption of electrons. Despite the Hermiticity of topological insulators, a non-Hermitian topological number guarantees the robust existence of the localized state. Our finding implies that non-magnetic defects may behave like magnetic impurities on surfaces of topological insulators. Using the K-theory classification, we generalize this condensed-matter version of the Callan-Rubakov effect to other classes of topological materials.
title Callan-Rubakov effects in topological insulators
topic Mesoscale and Nanoscale Physics
Materials Science
Strongly Correlated Electrons
Superconductivity
High Energy Physics - Theory
url https://arxiv.org/abs/2502.16729