Topology and the electromagnetic responses of quantum materials
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General themes
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Outline
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Types of order
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Overview: Berry gauge fields in solids
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Topological invariants
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Berry phase
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Berry phase in solids
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Topological insulator in 3D
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What is quantized in a 3D TI? Electrodynamics in insulators...
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Axion E&M
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Graphene QHE
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Topological response
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What about metals?
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Anomalous Hall effect 100+ years
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Two other "mystery" effects in metals:
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3D Dirac and Weyl metals
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Active questions:
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Outline of CME and GME
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So linear response is "geometric" in metals, but not quantized
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Experimental evidence that nonlinear effects are interesting in Weyls
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A quantized effect in Weyl semimetals
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Quantized CPGE
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What is the "quantum"?
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The circular photogalvanic effect in mirror-free 3D-Weyl semimetals is quantized
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Conclusions
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Q&A
Description:
Explore the fascinating world of quantum materials and their electromagnetic responses in this 30-minute conference talk by Joel E. Moore at the International Centre for Theoretical Sciences. Delve into the concepts of topology, Berry gauge fields, and topological invariants in solids. Examine the intricacies of Berry phase and its application to solids, with a focus on topological insulators in 3D. Investigate the quantization of electromagnetic responses in insulators and the unique properties of graphene. Discover the anomalous Hall effect and other mysterious phenomena in metals, including 3D Dirac and Weyl metals. Learn about current research questions and experimental evidence for nonlinear effects in Weyl semimetals. Explore the quantized circular photogalvanic effect in mirror-free 3D-Weyl semimetals and its implications for quantum materials research. Gain insights into the cutting-edge developments in condensed matter and statistical physics through this comprehensive overview of topology and electromagnetic responses in quantum materials.
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Topology and the Electromagnetic Responses of Quantum Materials