What is topological material? - Physics Stack Exchange
2019年3月14日 · Recently, topological material has been a hot topic in condensed matter physics, but I don't know what is topological material and how to distinguish topological material from band diagram. And how does it divide the types of topological materials according to band diagram, such as Topological Insulators,Topological Semimetal....
topology - What is the topological space in “topological materials ...
2021年9月20日 · According to my understanding, the topological space involved is the electron band structure (see for example this gif from Wikipedia which shows the structure for some materials). A lot of physical processes perturb the electrons such that they don't "hop" between bands, so the topology of these graphs (for example, intersection points between ...
condensed matter - Why are topological materials/phases "exotic ...
2022年3月31日 · Hence, it might very well be that many known materials exhibit topological phases, but that they have been overlooked for this reason. Again, the quantum Hall states are an exception since in that case we can detect them through the very accessible quantized Hall conductance, which is sadly not a generic feature of other topological phases.
Topological materials and fractionalized excitations
The term "topological materials" in particular seems to be used differently by different people. I advocate an inclusive definition, where "topological materials" encompass two subclasses of materials: Symmetry-protected topological (SPT) states; States with topological order
Trivial and Non-trivial topology of band structure
2013年7月5日 · This is the interesting part of the topological insulators from the practical standpoint. So whether the band structure is wound up or not is a topological property, and one can measure it with the topological index, also called a Chern number, defined as $$ C=\frac{1}{2\pi}\sum_n\oint Fd\mathbf{k} $$
Book recommendations - Topological Insulators for dummies
2018年8月24日 · A more mathematical approach aimed at physicists (and to really understand topological insulators, you do need quite advanced mathematics) is the book by Emil Prodan and Hermann Schulz-Baldes titled “Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics”. Strictly speaking, they only cover two of the 10 ...
Alternatives for calculating topological invariants in topological ...
My questing is regarding the different alternatives for calculating topological invariants in topological materials protected by symmetry, specially time-reversal invariant topological insulators, topological crystalline insulators and higher-order topological insulators.
Time-reversal symmery and topological insulators
2013年2月2日 · If I understand correctly, the exsistance of time-reversal symmetry is crucial for the occurence of topologically protected surface states in topological insulators. At least this is what the theory of topological insulators tells us. But …
Topological Invarient Z2 - Physics Stack Exchange
2016年8月3日 · For a condensed matter person, it is easy to understand the term called 'topological invariant z2' for a topological insulator. However, is there anyway so that material scientist can easily understand the physical meaning of this term.
condensed matter - Is there any spin-resolved time-resolved angle ...
2021年2月20日 · The combination of high-efficiency spin detectors with time-resolved ARPES systems would provide new opportunities for simultaneously acquiring time-resolved and spin-resolved ARPES spectra.