Fig. 2. (a) The honeycomb lattice structure of graphene with two atoms, A and B, per unit cell. a1 and a2 are the lattice vectors and a = 1.42 Å is the in-plane nearest-neighbor distance. (b) Brillouin zone of graphene with representation of Dirac cones near the K and K’ poin...
(a) Crystal structure of a typical heteronuclear honeycomb lattice. Each unit cell, identified by two lattice vectors a1 and a2, includes two inequivalent lattice sites, occupied by a cation-like and an anion-like atom, respectively. In sp materials, the upper valence bands can be mapped into...
For the general honeycomb lattice with the bond angle θ, the primitive lattice vectors are and . The primitive reciprocal lattice vectors are and . For case, such as graphene, the symmetric Brillouin zone is hexagon, i.e., the area enclosed by the black lines in Fig. 6(a). An alternat...
magnetisation/ 2D-honeycomb latticespin modesexchange integralsmagnetization propagation vectors2D-hexagonal latticesferromagnetic spin configuration/ A7525 Spin arrangements in magnetically ordered materials A7530E Exchange and superexchange interactions in magnetically ordered materials A7560E Magnetization curves, ...
On the square lattice the basis vectors take the simple form vx = M nx = (M, 0), vy = N ny = (0, N ). (9) An arbitrary site i on the original honeycomb lattice can be labeled by the triplet i → (r, k, λ), where r is a vector indicating the location of the unit ...
The small subspace is obtained by the repeated application of the Hamiltonian $\hat H$ on a carefully chosen starting wave vector describing the most interacting particle configuration, and the wave vectors resulting from the application of $\hat H$, till the obtained system of equations closes ...
(a) Crystal structure of a typical heteronuclear honeycomb lattice. Each unit cell, identified by two lattice vectors a1 and a2, includes two inequivalent lattice sites, occupied by a cation-like and an anion-like atom, respectively. In sp materials, the upper valence bands can be mapped into...
A. Di Ciolo, J. Carrasquilla, F. Becca, M. Rigol, and V. Galitski, "Spiral antifer- romagnets beyond the spin-wave approximation: Frustrated xy and heisenberg models on the honeycomb lattice," Phys. Rev. B, vol. 89, p. 094413, Mar 2014....
The honeycomb array of meta-atoms is composed of two inequivalent (A and B) hexagonal sublattices—defined by lattice vectors \({\mathbf{a}}_{1} = a( -\frac{\sqrt{3}}{2} , \frac{3}{2} )\) and \({\mathbf{a}}_{2} = a( \frac{\sqrt{3}}{2} , \frac{3}{2} )\)—...
where \({e}^{i{\vartheta }_{{\bf{q}}}={\lambda }_{{\bf{q}}}/| {\lambda }_{{\bf{q}}}|\), and r1,2,3 are the three bond vectors connecting nearest-neighbor sites on the honeycomb lattice. For the longitudinal component, the spins must be expanded up to quadratic order...