Study on several novel topological phases in classical wave systems
Topological phases of matter have attracted great research interests in the last two decades among various fields, ranging from condensed matter physics to photonics and acoustics. In classical wave systems like photonics and acoustics, the discoveries of topological states offer exciting playgro...
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| Format: | Thesis-Doctor of Philosophy |
| Language: | English |
| Published: |
Nanyang Technological University
2021
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| Online Access: | https://hdl.handle.net/10356/145825 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | Topological phases of matter have attracted great research interests in the last two decades
among various fields, ranging from condensed matter physics to photonics and acoustics. In
classical wave systems like photonics and acoustics, the discoveries of topological states offer
exciting playgrounds for both new theoretical studies and novel applications. This thesis studies
several novel topological phases of matter in classical wave systems which includes experimental
demonstrations of photonic valley-Hall phases and acoustic higher-order topological states, and
theoretical discovery of non-Hermitian Dirac cones.
In Chapter 1, I briefly review the development history of topological phases of matter in condensed
matter physics and classical wave systems, introduce basic knowledge and concepts for
topological physics, and introduce several novel topological phases which will be studied in detail
in the following chapters.
In Chapter 2, I study photonic topological valley Hall phases. Topologically protected refraction
of valley kink states and spin-valley controlled topological phases are experimentally demonstrated
in 2D photonic crystals.
In Chapter 3, I study acoustic higher-order topological phases which include experimental
demonstrations of a second-order topological insulator on a kagome lattice, a third-order topological
insulator on a diamond lattice and an octupole topological insulator in acoustic systems.
In Chapter 4, I present a general theory for non-Hermitian systems to host diabolic points. I
show how gain and loss, which is available in various classical wave systems, can interact with
diabolic points in unexpected manners. |
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