Results 21 to 30 of about 1,902,791 (335)
Thouless pumping and topology [PDF]
Nature Reviews Physics, 2022 Thouless pumping is a dynamical quantum effect that results in a quantized response of a many-body system. It stems from the topological properties of the band structure that emerge under a periodic drive in the adiabatic limit. This Review addresses the
R. Citro, M. Aidelsburger
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Topologically semisimple and topologically perfect topological rings
Publicacions Matemàtiques, 2022 LaTeX 2e with tikz-cd, 69 pages; v.3: new Section 13 inserted, final Section 14 (former 13) rewritten with much more complete picture obtained using new results of arXiv:1911.11720, Lemma 7.2 deleted as no longer relevant, Examples 3.7(2) and 9.4 inserted; v.4: Remarks 3.11 and 7.2 inserted; v.5: misprints corrected, references updated, a reference to ...
Leonid Positselski, Jan Šťovíček
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Topological Insulators by Topology Optimization [PDF]
Physical Review Letters, 2019 An acoustic topological insulator (TI) is synthesized using topology optimization, a free material inverse design method. The TI appears spontaneously from the optimization process without imposing requirements on the existence of pseudo spin-1/2 states at the TI interface edge, or the Chern number of the topological phases. The resulting TI is passive;
Christiansen, Rasmus E. +2 more
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, 2013 The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences.
Robins, Vanessa
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Topology optimization of multi-scale structures: a review
Structural And Multidisciplinary Optimization, 2021 Multi-scale structures, as found in nature (e.g., bone and bamboo), hold the promise of achieving superior performance while being intrinsically lightweight, robust, and multi-functional.
Jun Wu, O. Sigmund, J. Groen
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Topology and topological sequence entropy [PDF]
Science China Mathematics, 2019 Let $X$ be a compact metric space and $T:X\longrightarrow X$ be continuous. Let $h^*(T)$ be the supremum of topological sequence entropies of $T$ over all subsequences of $\mathbb Z_+$ and $S(X)$ be the set of the values $h^*(T)$ for all continuous maps $T$ on $X$.
Snoha, L., Ye, X., Zhang, R.
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Topological states from topological crystals [PDF]
Science Advances, 2019 We classify and construct topological crystalline insulators via real-space motifs of lower-dimensional states.
Zhida Song +4 more
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Higher-order band topology [PDF]
Nature Reviews Physics, 2020 A conventional topological insulator (TI) has gapped bulk states but gapless edge states. The emergence of the gapless edge states is dictated by the bulk topological invariant of the insulator and the preservation of relevant symmetries.
Biye Xie +6 more
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, 1999 We establish some basic theorems in dimension theory and absolute extensor theory in the coarse category of metric spaces. Some of the statements in this category can be translated in general topology language by applying the Higson corona functor.
Dranishnikov, A. N.
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