Bulk-edge corresponding revisited Yasuhiro Hatsugai Department of - PowerPoint PPT Presentation

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Workshop, ETH Zrich, 3rd-6th September 2018 Bulk-edge corresponding revisited Yasuhiro Hatsugai Department of physics Univ. Tsukuba Sep.3, 2018 Workshop, ETH Zrich, 3rd-6th September 2018 Plan Topological phases and bulk-edge

Workshop, ETH Zürich, 3rd-6th September 2018 Bulk-edge corresponding revisited Yasuhiro Hatsugai Department of physics Univ. Tsukuba Sep.3, 2018
Workshop, ETH Zürich, 3rd-6th September 2018 Plan Topological phases and bulk-edge correspondence Hofstadter problem to TKNN Edge states Bulk-edge correspondence QHE a bit more (old story) Laughlin argument Edge states (Halperin ’82) Bulk-edge correspondence ’93 The same model but Topological pumping different physics Bulk-edge correspondence ’16 Stability for randomness ‘18
Workshop, ETH Zürich, 3rd-6th September 2018 Plan Topological phases and bulk-edge correspondence Hofstadter problem to TKNN Edge states Bulk-edge correspondence QHE a bit more (old story) Laughlin argument Edge states (Halperin ’82) Bulk-edge correspondence ’93 Topological pumping Bulk-edge correspondence ’16 Stability for randomness ‘18
Workshop, ETH Zürich, 3rd-6th September 2018 Hofstadter’s problem 2-dimensional electrons in a magnetic filed with periodic potential (on a lattice) Energy Self-similar & fractal magnetic flux Hofstadter ‘76
Workshop, ETH Zürich, 3rd-6th September 2018 Hofstadter’s problem 2-dimensional electrons in a magnetic filed with periodic potential (on a lattice) Integers ! (many-body) Chern numbers Energy Self-similar & fractal magnetic flux Hofstadter ‘76

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