2021/02/11 by Md Mobarak Hossain Polash, Polash, Md Mobarak Hossain, Shahram Yalameha +9 · 3 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Applied Physics (physics.app-ph) #Dirac (video compression format) #FOS: Physical sciences #Magnetic and transport properties of perovskites and related materials #Materials Science (cond-mat.mtrl-sci) #Mathematics #Physics #Quantum #Quantum Physics (quant-ph) #Quantum mechanics #Symmetry protected topological order #Topological Materials and Phenomena #Topological degeneracy #Topological entropy in physics #Topological order #Topological quantum number #Topology (electrical circuits) #cond-mat.mtrl-sci #physics.app-ph #quant-ph
paper · pdf · doi:10.48550/arxiv.2102.06294
published in arXiv (Cornell University) (Cornell University) · 83 pages, 21 figures
openalex publication_date 2021/02/11 · arxiv created 2021/04/06 · arxiv updated 2021/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The spin-orbit coupling field, an atomic magnetic field inside a Kramer's\nsystem, or discrete symmetries can create a topological torus in the Brillouin\nZone and provide protected edge or surface states, which can contain\nrelativistic fermions, namely, Dirac and Weyl Fermions. The topology-protected\nhelical edge or surface states and the bulk electronic energy band define\ndifferent quantum or topological phases of matters, offering an excellent\nprospect for some unique device applications. Device applications of the\nquantum materials rely primarily on understanding the topological properties,\ntheir mutual conversion processes under different external stimuli, and the\nphysical system for achieving the phase conversion. There have been tremendous\nefforts in finding new topological materials with exotic topological phases.\nHowever, the application of the topological properties in devices is still\nlimited due to the slow progress in developing the physical structures for\ncontrolling the topological phase conversions. Such control systems often\nrequire extreme tuning conditions or the fabrication of complex multi-layered\ntopological structures. This review article highlights the details of the\ntopological phases, their conversion processes, along with their potential\nphysical systems, and the prospective application fields. A general overview of\nthe critical factors for topological phases and the materials properties are\nfurther discussed to provide the necessary background for the following\nsections.\n