In this paper a new type of wavelength demultiplexer using ring resonators in 2D triangular photonic crystal is presented. The designed demultiplexer contents two regions which each own a resonator. Two dielectric constants are used in this demultiplexer. These structures which are called hetero have the capability to be used in wavelength division multiplexing (WDM) systems. The average transf...

We report that NO molecules unexpectedly prefer a trimeric configuration on Cu(111). We used scanning tunneling microscopy (STM) at 6 K, and confirmed that the NO molecule is bonded to the face-centered-cubic hollow site in an upright configuration. The individual NO molecule is imaged as a ring protrusion, which is characteristic of the doubly degenerate 2π(*) orbital. A triangular trimer is t...

We construct a natural continuous map from the triangular spectrum of a tensor triangulated category to the algebraic Zariski spectrum of the endomorphism ring of its unit object. We also consider graded and twisted versions of this construction. We prove that these maps are quite often surjective but far from injective in general. For instance, the stable homotopy category of finite spectra ha...

Let U be a (B, A)-bimodule, A and B rings, formal triangular matrix ring. In this paper, we characterize the structure of relative Ding projective modules over T under some conditions. Furthermore, using left global dimensions B, estimate dimension T-module.

We establish that the derived Witt group is isomorphic to the usual Witt group when 2 is invertible. This key result opens the Ali Baba's cave of triangular Witt groups, linking the abstract results of Part I to classical questions for the usual Witt group. For commercial purposes, we survey the future applications of triangular Witt groups in the introduction. We also establish a connection be...

The effects of the ring-exchange Hamiltonian H3 = J3 ∑ 〈ijk〉(Si · Sj)(Si · Sk) on the triangular lattice are studied using classical Monte Carlo simulations. Each spin Si is treated as a classical XY spin taking on Q equally spaced angles (Q-states clock model). For Q = 6, a first-order transition into a stripe-ordered phase preempts the macroscopic classical degeneracy. For Q > 6, a finite win...

By Dirichlet's Unit Theorem, under the log embedding units in ring of integers a number field form lattice, called log-unit lattice. We investigate geometry these lattices when is biquadratic or cyclic cubic extension Q. In case, we determine lattice orthogonal. show that always equilateral triangular.