See Calibrations for details on types of calibrations used below.Ī particular point or a range of points within a wave can be addressed by either their position in a sequence or by scaled value: How this is done depends on whether you are reading or writing a value and how do you specify the position(s).Īddressing by position, scaled or calibrated value: In many cases we need to access a particuar point or subrange of points within a wave. If waves are of different size, the smallest size will be copied entirely. Where every point from wave MyData is copied to MyResult if waves have the same size (number of points). See matrices for more details.Įntire array of data in a wave can be addressed and manipulated as one object by using wave name, such as: Matrix can be visualized as a grid of numbers. When several sequences of values are combined together they make a two-dimensional wave, or a matrix. Simple wave above is a one-dimensional wave (linear). Notation MyExperiment means that you need a value at 4th position in wave called MyExperiment. This means that for a wave containing 100 values, index can vary form 0 to 99. Indexing in Igor starts from 0, not from 1 as we normally count. To access specific value you need to indicate the name (nickname) of the wave and which number in the sequence you need. It can be visualized as one column in a spreadsheet. For our convenience waves are given nicknames in human language.Ī simple wave is a single string (or array) of numbers. Wave are collections of number that can be manipulated as a group - all numbers at once. Waves are Igor objects you are most likely to work with. As shown in Fig.For more details see Waveform model of data, Igor 5 Manual, volume II, p. The \(\bar\) direction coincides with the direction of Q 1 wavevector. d The original (black lines) and 2 × 2 reconstructed (blue lines) Brillouin zones. High-symmetry points and high-symmetry momentum lines are marked. c Schematic of the three-dimensional Brillouin zone and the two-dimensional Brillouin zone projected on the (001) surface in the pristine phase in a. The K, V, Sb atoms are presented as gray, purple, and blue balls, respectively. b The Tri-Hexagonal (TrH) lattice distortion caused by the 2 × 2 CDW transition 15, 25. At present, the pairing symmetry of the AV 3Sb 5 superconductors has been extensively studied and it is still being debated whether the superconductivity is unconventional 18, 19, 20, 21, 22.Ī Pristine crystal structure of KV 3Sb 5 with a V-kagome net from the top view. For example, AV 3Sb 5 family exhibit anomolous Hall effect 12, 13, although there is neither local-moment nor long-range magnetic ordering present in them 1, 12, 14 unconventional charge density wave (CDW) has been revealed in AV 3Sb 5 15, 16, 17. Such a Kagome lattice is expected to harbor topological states 3, 5, fractional charges 4, 6, density wave orders 3, 7, 8, and unconventional superconductivity 8, 9, 10, 11. The metallic Kagome lattice presents a unique electronic structure characterized by a Dirac cone at the Brillouin zone corner, von Hove singularities (VHS) at the zone boundary, and a flat band throughout the entire Brillouin zone 3, 4. 1a), the vanadium atoms form a Kagome lattice that is a two-dimensional network of corner-sharing triangles. In the crystal structure of AV 3Sb 5 (Fig. The newly discovered Kagome superconductors AV 3Sb 5 (A = K, Rb, Cs) have attracted much attention because they provide an ideal platform to investigate the interplay of topology, electron correlation effects, and superconductivity 1, 2. These results provide key insights in understanding the nature of the CDW state and its interplay with superconductivity in AV 3Sb 5 superconductors. In particular, we have observed signatures of the electron-phonon coupling in KV 3Sb 5. The Fermi surface- and momentum-dependent CDW gap is measured and the strongly anisotropic CDW gap is observed for all the V-derived Fermi surface. The CDW-induced band splitting and the associated gap opening have been revealed at the boundary of the pristine and reconstructed Brillouin zones. We have observed CDW-induced Fermi surface reconstruction and the associated band folding. Here we unveil electronic nature of the CDW phase in our high-resolution angle-resolved photoemission measurements on KV 3Sb 5. High-precision electronic structure determination is essential to understand its origin. Unconventional charge density wave (CDW) has been detected in AV 3Sb 5. The Kagome superconductors AV 3Sb 5 (A = K, Rb, Cs) have received enormous attention due to their nontrivial topological electronic structure, anomalous physical properties and superconductivity.
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