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Topological Hyperbolic Lattices [PDF]
Physical Review Letters, 2020 26 pages, 8 ...
Sunkyu Yu, Namkyoo Park, Xianji Piao
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Topological exciton-polaritons with negative coupling [PDF]
Nature CommunicationsCoupling between quantum or classical degrees of freedom underpins a wide range of physical phenomena, from condensed matter systems to engineered photonic lattices.
Zixuan Yu +5 more
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Topological Amplification in Photonic Lattices [PDF]
Physical Review Letters, 2019 We present a characterization of topological phases in photonic lattices. Our theory relies on a formal equivalence between the singular value decomposition of the non-Hermitian coupling matrix and the diagonalization of an effective Hamiltonian. By means of that mapping we unveil an application of topological band theory to the description of quantum ...
Diego Porras
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Observation of strong spin-orbit couplings in plasmonic spin-twistronics topological lattices [PDF]
Nature CommunicationsTwistronics is based on the control of the relative twist angle between the two layers of two-dimensional (2D) material in a moiré superlattice. Manipulating the twist angle enables controlling a variety of nontrivial properties, making twistronics a ...
Peng Shi +7 more
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Space and space-time topologies in a type-II hyperbolic lattice [PDF]
Nature CommunicationsRecent breakthroughs in hyperbolic lattices have expanded the study of topological phases of matter from Euclidean to non-Euclidean spaces. However, prior work has mostly focused on static spatial topological states at the single outer edge of type-I ...
Jingming Chen +5 more
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Strong interplay between polar and structural topologies [PDF]
Nature CommunicationsTopological structures in condensed matter systems unlock new possibilities for the development of nanoelectronic devices. However, the potential of antiferroelectrics to host topological features remains largely unexplored, constrained by significant ...
Ru-Jian Jiang +12 more
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On generalized topological molecular lattices [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces.
Narges Nazari, Ghasem Mirhosseinkhani
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Physical Review Research, 2022 We study the topological photonic states in one-dimensional lattices analog to the Su-Schrieffer-Heeger model beyond the dipole approximation. The electromagnetic resonances of the lattices supported by near-field interactions between the plasmonic ...
Raymond P. H. Wu, H. C. Ong
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Topologies on residuated lattices
Journal of Logic and Computation, 2022 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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Some non-standard quasivarieties of lattices [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The questions of the standardness of quasivarieties have been investigated by many authors. The problem "Which finite lattices generate a standard topological prevariety?" was suggested by D.M. Clark, B.A. Davey, M.G. Jackson and J.G.
S.M. Lutsak +3 more
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