Emergent geometry, torsion and anomalies in non-relativistic topological matter
Loading...
Access rights
openAccess
publishedVersion
URL
Journal Title
Journal ISSN
Volume Title
A4 Artikkeli konferenssijulkaisussa
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Other link related to publication (opens in new window)
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Other link related to publication (opens in new window)
Authors
Date
Department
Major/Subject
Mcode
Degree programme
Language
en
Pages
19
Series
Journal of Physics: Conference Series, Volume 2531, issue 1, pp. 1-19
Abstract
I review and discuss aspects of the interplay of emergent geometry and anomalies in topological semimetals and insulators, focusing on effects of torsion. This correspondence identifies torsional topological responses in terms of anomalies and anomaly related hydrodynamic phenomena involving gauge fields and geometry. I discuss how torsional emergent geometry arises from elastic deformations in crystalline materials and how this background couples to thee low-energy continuum models inherited from lattice models, utilizing the semiclassical expansion. Via the coupling of momentum space topology and emergent vielbein geometry, non-relativistic topological matter can realise new geometrical responses of mixed gauge-gravitational character. The topological low-energy torsional responses depend momentum space geometry, lattice momenta and the regularization and UV completion, provided by the non-relativistic physics and symmetries of topological materials.Description
Funding Information: Acknowledgements: This work has been supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694248) and by Academy of Finland (grant 332964). | openaire: EC/H2020/694248/EU//TOPVAC
Keywords
Other note
Citation
Nissinen, J 2023, 'Emergent geometry, torsion and anomalies in non-relativistic topological matter', Journal of Physics: Conference Series, vol. 2531, no. 1, 012002, pp. 1-19. https://doi.org/10.1088/1742-6596/2531/1/012002