scholarly journals Tight-Binding Description of the Coupled Defect Modes in Three-Dimensional Photonic Crystals

2000 ◽  
Vol 84 (10) ◽  
pp. 2140-2143 ◽  
Author(s):  
Mehmet Bayindir ◽  
B. Temelkuran ◽  
E. Ozbay
2004 ◽  
Author(s):  
Masaru Iida ◽  
Kiyomi Sakai ◽  
Masayoshi Watanabe ◽  
Masahiko Tani ◽  
Seiji Kato ◽  
...  

2004 ◽  
Vol 69 (24) ◽  
Author(s):  
Masaru Iida ◽  
Masahiko Tani ◽  
Kiyomi Sakai ◽  
Masayoshi Watanabe ◽  
Shin’ichi Katayama ◽  
...  

2004 ◽  
Vol 73 (9) ◽  
pp. 2355-2357 ◽  
Author(s):  
Masaru Iida ◽  
Masahiko Tani ◽  
Kiyomi Sakai ◽  
Masayoshi Watanabe ◽  
Hideaki Kitahara ◽  
...  

Author(s):  
Ted Janssen ◽  
Gervais Chapuis ◽  
Marc de Boissieu

The law of rational indices to describe crystal faces was one of the most fundamental law of crystallography and is strongly linked to the three-dimensional periodicity of solids. This chapter describes how this fundamental law has to be revised and generalized in order to include the structures of aperiodic crystals. The generalization consists in using for each face a number of integers, with the number corresponding to the rank of the structure, that is, the number of integer indices necessary to characterize each of the diffracted intensities generated by the aperiodic system. A series of examples including incommensurate multiferroics, icosahedral crystals, and decagonal quaiscrystals illustrates this topic. Aperiodicity is also encountered in surfaces where the same generalization can be applied. The chapter discusses aperiodic crystal morphology, including icosahedral quasicrystal morphology, decagonal quasicrystal morphology, and aperiodic crystal surfaces; magnetic quasiperiodic systems; aperiodic photonic crystals; mesoscopic quasicrystals, and the mineral calaverite.


2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Wei Luo ◽  
Yuma Nakamura ◽  
Jinseon Park ◽  
Mina Yoon

AbstractRecent experiments identified Co3Sn2S2 as the first magnetic Weyl semimetal (MWSM). Using first-principles calculation with a global optimization approach, we explore the structural stabilities and topological electronic properties of cobalt (Co)-based shandite and alloys, Co3MM’X2 (M/M’ = Ge, Sn, Pb, X = S, Se, Te), and identify stable structures with different Weyl phases. Using a tight-binding model, for the first time, we reveal that the physical origin of the nodal lines of a Co-based shandite structure is the interlayer coupling between Co atoms in different Kagome layers, while the number of Weyl points and their types are mainly governed by the interaction between Co and the metal atoms, Sn, Ge, and Pb. The Co3SnPbS2 alloy exhibits two distinguished topological phases, depending on the relative positions of the Sn and Pb atoms: a three-dimensional quantum anomalous Hall metal, and a MWSM phase with anomalous Hall conductivity (~1290 Ω−1 cm−1) that is larger than that of Co2Sn2S2. Our work reveals the physical mechanism of the origination of Weyl fermions in Co-based shandite structures and proposes topological quantum states with high thermal stability.


2005 ◽  
Vol 13 (7) ◽  
pp. 2370 ◽  
Author(s):  
Peng Yao ◽  
Garrett J. Schneider ◽  
Dennis W. Prather ◽  
Eric D. Wetzel ◽  
Daniel J. O'Brien

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