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Topologies on residuated lattices
Abstract The main aim of this paper is to investigate the topologies that constructed by some ideals on residuated lattices and some topologies which induced by lattice ideals and distance functions on involutive residuated lattices. To begin with, we present that prime $\oplus $-ideals and prime $\boxplus $-ideals are coincident on $MTL$
Wei Wang, Bin Zhao
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Effects of spin symmetry breaking in topological insulators [PDF]
Topological insulators are one of the most thoroughly investigated systems in condensed matter physics over the last years. In these systems, a prominent role is inevitably taken by time-reversal symmetry, which leads to Kramers theorem and symmetry ...
Orth, Christoph
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Topological phenomena demonstrated in photorefractive photonic lattices
Topological photonics has attracted widespread research attention in the past decade due to its fundamental interest and unique manner in controlling light propagation for advanced applications.
Hrvoje Buljan (1409098) +7 more
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On Semitopological De Morgan Residuated Lattices [PDF]
The class of De Morgan residuated lattices was introduced by L. C. Holdon (Kybernetika 54(3):443-475, 2018), recently, many mathematicians have studied the theory of ideals or filters in De Morgan residuated lattices and some of them ...
Liviu-Constantin Holdon
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Topological Boundary Floppy Modes in Quasicrystals
Topological mechanics has been studied intensively in periodic lattices in the past a few years, leading to the discovery of topologically protected boundary floppy modes in Maxwell lattices.
Di Zhou, Leyou Zhang, Xiaoming Mao
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Topological transitions with an imaginary Aubry-André-Harper potential
We study one-dimensional lattices with imaginary-valued Aubry-André-Harper (AAH) potentials. Such lattices can host edge states with purely imaginary eigenenergies, which differ from the edge states of the Hermitian AAH model and are stabilized by a non ...
Bofeng Zhu +4 more
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Graphic Groups, Graph Homomorphisms, and Graphic Group Lattices in Asymmetric Topology Cryptography
Using asymmetric topology cryptography to encrypt networks on the basis of topology coding is a new topic of cryptography, which consists of two major elements, i.e., topological structures and mathematical constraints.
Meimei Zhao, Hongyu Wang, Bing Yao
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Fracturing of topological Maxwell lattices
We present fracturing analysis of topological Maxwell lattices when they are stretched by applied stress. Maxwell lattices are mechanical structures containing equal numbers of degrees of freedom and constraints in the bulk and are thus on the verge of ...
Leyou Zhang, Xiaoming Mao
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Non-Trivial Transport Interface in a Hybrid Topological Material With Hexagonal Lattice Arrangement
In this paper, a hybrid topological material with hexagonal lattice arrangement is proposed, consisting of six metal cylindrical resonators and a dielectric slab.
Lianlian Du +5 more
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The Nested Topological Band-Gap Structure for the Periodic Domain Walls in a Photonic Super-Lattice
We study the nested topological band-gap structure of one-dimensional (1D) photonic super-lattices. One cell of the super-lattice is composed of two kinds of photonic crystals (PhCs) with different topologies so that there is a domain wall (DW) state at ...
Zhen Lai +4 more
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