Hybrid graphene/h-BN sheet has been fabricated recently and verified to possess unusual physical properties. During the growth process, defects such as vacancies are unavoidably present at the interface between graphene and h-BN. In the present work, typical vacancy defects, which were located at the interface between graphene and h-BN, were studied by density functional theory. The interface s...

An algorithm for the computation of global discrete conformal parametrizations with prescribed global holonomy signatures for triangle meshes was recently described in [Campen and Zorin 2017]. In this paper we provide a detailed analysis of convergence and correctness of this algorithm. We generalize and extend ideas of [Springborn et al. 2008] to show a connection of the algorithm to Newton’s ...

In this paper the Berry and Aharonov-Bohm phases are generalized to nonlinear topological phase fields on pseudospheres, where the coordinate vector field is parallel transported along the signal/soliton vector field with Levi–Civita connection. Projective PSL(2,R) symmetry describes the relativistic self-interacting bosonic sine-Gordon field. A Coulomb potential can be induced as the stereogra...

We give a complete structural characterisation of the map the positive branch of a one-way pattern implements. We start with the representation of the positive branch in terms of the phase map decomposition [4], which is then further analysed to obtain the primary structure of the matrix M, representing the phase map decomposition in the computational basis. Using this approach we obtain some p...

An often noted limitation of computational models of faces operating on 2D pixel intensity representations is that they cannot handle changes in orientation. We show that this limitation can be overcome by using multiple views of a given face instead of a single view to represent the face. Speciically, we show that a linear autoassociator trained to reconstruct multiple views of a set of faces ...

Recent reports on intense-field pump-probe experiments for high-order harmonic generation (HHG) from coherently rotating linear molecules have revealed remarkable characteristic effects of the simultaneous variation of the polarization geometry and the time delay on the high-order harmonic signals. We analyze the effects and give a unified theoretical account of the experimental observations. F...

Recurrence relations are derived for constructing rotation matrices between complex spherical harmonics directly as polynomials of the elements of the generating3×3 rotation matrix, bypassing the intermediary of any parameters such as Euler angles. The connection to the rotation matrices for real spherical harmonics is made explicit. The recurrence formulas furnish a simple, efficient, and nume...

A novel approach is suggested for detecting the presence or absence of synchronization between two or three interacting processes with different time scales in univariate data. It is based on an angle-of-return-time map. A model is derived to describe analytically the behavior of angles for a periodic oscillator under weak periodic and quasiperiodic forcing. An explicit connection is demonstrat...

In the title compound, C23H18BrN3OS·0.5H2O, the bromo-phenyl, phenyl and phenol rings make dihedral angles of 46.5 (1), 66.78 (8) and 15.4 (2)°, respectively, with the mean squares plane of the thia-zol-idene ring. In the crystal, the lattice water mol-ecule is hydrogen bonded to the phenol group and makes a weaker O-H⋯N connection to an inversion-related mol-ecule, forming a ring while weak pa...

This article aims to quantify the impact of a potential failure passive fire protection on ultimate response top and seat steel connection with double web angles. A numerical, finite element analysis scheme is proposed considering real, semi-rigid behaviour connection, using unilateral contact-friction laws between interfaces beam, column, The model has been validated by previous experimental r...