Possible pairing symmetry in the two-dimensional t–J model on square and triangular lattices

2005 ◽  
Vol 359-361 ◽  
pp. 545-547
Author(s):  
Takashi Koretsune ◽  
Masao Ogata
Keyword(s):  
Pairing Symmetry ◽  
Two Dimensional ◽  
Triangular Lattices

scholarly journals V2O2F4(H2O)2·H2O: a new V4+layer structure related to VOF3

2016 ◽  
Vol 72 (1) ◽  
pp. 80-83 ◽  
Author(s):  
Cameron Black ◽  
Philip Lightfoot
Keyword(s):  
Ionic Liquids ◽  
Title Compound ◽  
Solvothermal Synthesis ◽  
Layer Structure ◽  
Three Dimensional ◽  
Water Molecules ◽  
Frustrated Magnets ◽  
Two Dimensional ◽  
Triangular Lattices ◽  
Solvothermal Conditions

VIVoxyfluorides are of interest as frustrated magnets. The successful synthesis of two-dimensionally connected vanadium(IV) oxyfluoride structures generally requires the use of ionic liquids as solvents. During solvothermal synthesis experiments aimed at producing two- and three-dimensional vanadium(IV) selenites with triangular lattices, the title compound, diaquatetra-μ-fluorido-dioxidodivanadium(IV) monohydrate, V2O2F4(H2O)2·H2O, was discovered and features a new infinite V4+-containing two-dimensional layer comprised of fluorine-bridged corner- and edge-sharing VOF4(H2O) octahedral building units. The synthesis was carried out under solvothermal conditions. The V4+centre exhibits a typical off-centring, with a short V=O bond and an elongatedtrans-V—F bond. Hydrogen-bonded water molecules occur between the layers. The structure is related to previously reported vanadium oxyfluoride structures, in particular, the same layer topology is seen in VOF3.

scholarly journals Coupling effect of topological states and Chern insulators in two-dimensional triangular lattices

2018 ◽  
Vol 97 (12) ◽  
Author(s):  
Jiayong Zhang ◽  
Bao Zhao ◽  
Yang Xue ◽  
Tong Zhou ◽  
Zhongqin Yang
Keyword(s):  
Coupling Effect ◽  
Two Dimensional ◽  
Topological States ◽  
Chern Insulators ◽  
Triangular Lattices

Optical Spectroscopy of Silicon-On-Insulator Waveguide Photonic Crystals

2004 ◽  
Vol 817 ◽  
Author(s):  
D. Bajoni ◽  
M. Galli ◽  
M. Belotti ◽  
F. Paleari ◽  
M. Patrini ◽  
...  
Keyword(s):  
Photonic Crystals ◽  
Spectral Range ◽  
Sample Surface ◽  
Silicon On Insulator ◽  
Optical Investigation ◽  
Transmission Spectra ◽  
Two Dimensional ◽  
Large Area ◽  
Line Defects ◽  
Triangular Lattices

AbstractWe report on a complete optical investigation on two-dimensional silicon-on-insulator (SOI) waveguide photonic crystals obtained by electron beam lithography and reactive ion etching. The dispersion of photonic modes is fully investigated both above and below the light-line by means of angle- and polarization-resolved micro-reflectance and attenuated total reflectance measurements.The investigated samples consisted in a) large area (300 × 300 μm2) two-dimensional (2D) triangular lattices of air holes containing repeated line–defects; b) small area triangular lattices of holes with different number of periods and /or line defects integrated in a ridge type waveguide structure.In the case of large area samples, variable-angle reflectance and ATR is measured from the sample surface in a wide spectral range from 0.2 to 2 eV both in TE and TM polarizations. The sharp resonances observed in the polarized reflectance and ATR spectra allow mapping of the photonic dispersion of both radiative and guided modes. Experimentally determined and compared to those calculated by means of an expansion on the basis of the waveguide modes.In the case of ridge type waveguide-integrated photonic crystals, transmission is measured in the 0.9-1.7 eV spectral range by an edge-coupling technique. Transmission spectra exhibit significant attenuation corresponding to the photonic gaps along the Γ–M and Γ–K directions respectively, even when a small number of hole periods is integrated in the ridge waveguide. Good agreement is obtained by comparing the measured transmission spectra with the calculated photonic bands.

Statistical mechanics of the two-dimensional assembly

1950 ◽  
Vol 202 (1069) ◽  
pp. 202-207 ◽  
Keyword(s):  
Ising Model ◽  
Curie Temperature ◽  
Statistical Mechanics ◽  
Specific Heat ◽  
Considerable Effect ◽  
Square Lattice ◽  
Nearest Neighbour ◽  
Two Dimensional ◽  
Triangular Lattices

The work of Kaufman & Onsager (1946) on the two-dimensional Ising model of a ferromagnet is extended from the plane square lattice to the plane honeycomb and triangular lattices. The specific heat anomaly, where it exists, turns out to be of the same type in all three lattices, an infinity in the specific heat at the Curie temperature. It is concluded that second-nearest neighbour interactions may have a considerable effect on the position of the Curie temperature.

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