Novel phenomena in topological states of matter
- Topological states of matter exhibit properties that are protected by certain topological invariants and are invariant under perturbations. Depending on whether they have an excitation gap or not, these topological states can be classified into gapped and gapless phases. In this thesis, we first discuss the novel properties and recent developments of two kinds of gapped topological states in two-dimensions (2D): the quantum anomalous Hall (QAH) insulator and the chiral topological superconductor (TSC), which can be realized in thin films of 3D topological insulators. In particular, we identify the presence of a zero Hall conductance plateau and a unique half plateau of two-terminal conductance in the QAH state and the chiral TSC state, respectively, both of which are confirmed by experiments. In the second part, we present two novel kinds of gapless topological states of matter characterized by linking numbers: the 5D Weyl semimetal and the 3D time reversal invariant superconductor with linked nodal lines, which show interesting bulk-boundary correspondences and topological responses.
|Type of resource
|electronic; electronic resource; remote
|1 online resource.
|Stanford University, Department of Physics.
|Statement of responsibility
|Submitted to the Department of Physics.
|Thesis (Ph.D.)--Stanford University, 2017.
- © 2017 by Biao Lian
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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