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Optical manifestations and bounds of topological Euler class

Wojciech J. Jankowski ^1,*, Arthur S. Morris ¹, Adrien Bouhon^1,2, F. Nur Ünal ^1,3, and Robert-Jan Slager ^1,4,†

¹TCM Group, Cavendish Laboratory, Department of Physics, J J Thomson Avenue, Cambridge CB3 0HE, United Kingdom
²Nordita, Stockholm University and KTH Royal Institute of Technology, Hannes Alfvéns väg 12, SE-106 91 Stockholm, Sweden
³School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
⁴Department of Physics and Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom

^*Contact author: wjj25@cam.ac.uk
^†Contact author: rjs269@cam.ac.uk

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Articles Citing

Optical manifestations and bounds of topological Euler class

Quantum geometry phenomena in condensed matter systems

Quantum geometric tensors from sub-bundle geometry

Exploring many-body quantum geometry beyond the quantum metric with correlation functions: A time-dependent perspective

Efficient design for nodal structures characterized by Euler class

Quantum Geometric Fluctuation-Dissipation Relation for Nonlinear Transport

Quantum Geometry of Altermagnetic Magnons Probed by Light

Wilson-Loop-Ideal Bands and General Idealization

Imaginary time formalism for causal nonlinear response functions

Orbital Wigner functions and quantum transport in multiband systems

Z2 topological signatures of the optical bound on maximal Berry curvature: Application to two-dimensional time-reversal-symmetric insulators

From quantum geometry to nonlinear optics and gerbes: Recent advances in topological band theory

Nonadiabatic origin of quantum-metric effects via momentum-space metric tensor

Gapped spinful phases obtained via Gutzwiller projections of Euler states

Coupled-wire construction of non-Abelian higher-order topological phases

Orbital magnetization reveals multiband topology

Non-Abelian charge conversion in bilayer binary honeycomb lattice systems

Quantum geometric origin of the intrinsic nonlinear Hall effect

Euler Topology in Superconducting Honeycomb Lattices

Tunable phase transitions from semimetals to Chern insulators in two-dimensional quadratic-band-crossing materials

Revealing quantum geometry in nonlinear quantum materials

Quantum weight: A fundamental property of quantum many-body systems

Quantum geometric bounds in spinful systems with trivial band topology

Universal Wilson Loop Bound of Quantum Geometry

Field-Driven Band Asymmetry and Nonreciprocal Transport in a Helimagnet

Quantum Response Theory and Momentum-Space Gravity

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