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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 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

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

Non-Abelian charge conversion in bilayer binary honeycomb lattice systems

Quantum geometric origin of the intrinsic nonlinear Hall effect

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

Family of Aperiodic Tilings with Tunable Quantum Geometric Tensor

Circular Dichroism on the Edge of Quantum Hall Systems: From Many-Body Chern Number to Anisotropy Measurements

Quantum Geometry and Bounds on Dissipation in Slowly Driven Quantum Systems

Textured exciton insulators

Optical signatures of Euler superconductors

Low-energy optical absorption in correlated insulators: Projected sum rules and the role of quantum geometry

Quantum geometry and low-frequency optical conductivity of nodal planes

Quantum geometric bounds for observables: Linear responses, Drude weight, and orbital magnetization

Geometric Bloch oscillations and transverse displacement in flat band systems

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