The Dirac cone is a typical singular energy dispersion in two dimensions that is a source of various non-trivial topological effects. When realized in real/synthetic materials, it is generically tilted and the equi-energy surface (curve) can be elliptic/hyperbolic (type I/II). The type III Dirac cone is a critical situation between the type I and II that potentially causes various non-trivial physics. As for realization of the type III Dirac cones, we are proposing a generic theoretical scheme without any fine tuning of material parameters . It may also help to synthesize in meta materials. The molecular orbital (MO) construction of the generic flat bands which we are also proposing plays a crutial role. Have a look at "Type-III Dirac Cones from Degenerate Directionally Flat Bands: Viewpoint from Molecular-Orbital Representation" by Tomonari Mizoguchi and Yasuhiro Hatsugai, J. Phys. Soc. Jpn. 89, 103704 (2020) Also arXiv:2007.14643. The paper has been selected as an Editors’ choice of J. Phys. Soc. Jpn. (Sep. 2020). See also “News and comments” by Prof. N. Nagaosa.
Department of Physics
University of Tsukuba
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Ibaraki 305-8571
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Editors’ choice and News & Comm. of JPSJ: Type III Dirac cones…
By hatsugai / In Published (coming soon) /
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- Our new member, Kazuki Sone, will tell us on edge states of non-linear systems 2024.4.8
- Bulk-edge correspondence for energy dependent systems/nonlinear eigen value problems 2024.3.19
- SKCM² Spring Symposium: Nara, Japan 2024.3.7
- APS March meeting 2024 2024.3.7
- Bulk-edge correspondence (Encyclopedia of condensed matter physics, 2nd Ed.) 2023.12.14
- TTQM2023 Kashiwa 2023.9.28
- The Physical Society of Japan, Annual meeting 9/16-9/19 (2023), Tohoku Univ. 2023.9.14
- Nontrivial Topology of Nontopological Nonlinear Waves 2023.8.22
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- Heat carrying corner states of breathing Kagome 2023.7.20
- Z2× Z2 symmetry and Z4 quantization in bosonic ladders 2023.7.14
- Hidenori Fukaya will be telling us on dyon & topological insulators 2023.6.17
- Negative index photonic crystal induces non hermitian physics 2023.6.15
- Diophantine equation of SU(Q) topological pump 2023.6.2
- Funding 2023 2023.4.21
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