On quantifying the topological charge in micromagnetics using a lattice-based approach
نویسندگان
چکیده
منابع مشابه
Topological charge on the lattice : a field theoretical
We construct sequences of "field theoretical" lattice topological charge density operators which formally approach geometrical definitions in 2D CP s l models and 4D SU(N) Yang-Mills theories. The analysis of these sequences of operators suggests a new way of looking at the geometrical method, showing that geometrical charges can be interpreted as limits of sequences of field theoretical (analy...
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Chern - Simons term and Topological Charge on the Lattice
In a somewhat overlooked work by Seiberg, a definition of the topological charge for SU(N) lattice fields was given. Here, it is shown that Seibergs and Lüschers charge definition are related up to the section of the bundle. With the continued interest in baryon number violating processes, Seibergs paper is useful since it allows for a Chern-Simons number also.
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A topological charge pump transfers charge in a quantized fashion. The quantization is stable against the detailed form of the pumping protocols and external noises and shares the same topological origin as the quantum Hall effect. We propose an experimental setup to realize topological charge pumping of cold fermionic atoms in a one-dimensional optical lattice. The quantization of the pumped c...
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ژورنال
عنوان ژورنال: IOP SciNotes
سال: 2020
ISSN: 2633-1357
DOI: 10.1088/2633-1357/abad0c