Magnetic properties of bilayer triangular lattice

Abstract

This paper mainly studies the ferromagnetic fluctuations of two types of bilayer triangular lattices on the basis of single-band Hubbard model. First, according to the tight-binding model, energy spectrum, the density of states and spin susceptibility can be obtained analytically. Second, we take finite Coulomb interaction into account, apply the random-phase approximation and do the determinant quantum Monte Carlo simulation. Finally, this paper makes comparisons of magnetic properties of two types of bilayer triangular lattices, and the effects of the interlayer coupling are also discussed in detail.

Output from a Josephson stimulated terahertz amplified radiation emitter

“…This assumption was also made by Tachiki et al [18], and is consistent with the conclusions of Bulaevskii and Koshelev [6][7][8], but is distinctly different from that made by Hu and Lin [9][10][11][12][13][14]. For the electric dipole antenna model, the frequencies of the emitted radiation are the same as those present in the ac Josephson current, ν n = nν J , since the integer harmonics are generated by the nonlinear ac Josephson effect.…”

“…Hu and Lin set the tangential component of B = 0 on the edge of cylindrical mesas, but did not take account of the ac Josephson current in the Ampère boundary condition [13,14]. Matsumoto et al treated the Ampère boundary condition as providing constraints on B on opposite sides of the long rectangular mesas in their numerical studies [15,16].…”

“…Hu and Lin numerically studied the radiation from cylindrical mesas suspended in vacuum [13,14,27]. In place of Eq.…”

“…A sketch of a cylindrical mesa with a uniform J S and a nonuniform M S corresponding to the (11) cylindrical cavity mode is shown in As long as rectangular mesas were the only radiation sources under study, it has proved difficult to distinguish the results of these radiation sources, as all of the observed harmonics can be amplified by the cavity features of the mesa [21,23]. The extreme non-linear current-voltage characteristic of each mesa allows for chaotic, nonequilibrium effects to be important, so complications such as soliton kinks [18,19] or layer-dependent kinks [9][10][11][12][13][14] could potentially play important roles in the origin of the radiation. As noted above, additional rectangular cavity modes might form across the length of the sample [22].…”

Chiral Spin Density Wave Order on the Frustrated Honeycomb and Bilayer Triangle Lattice Hubbard Model at Half-Filling

“…Labeling the twosublattice (bilayer) as A and B and denoting C † kσ = (c † kσ,A , c † kσ,B ), the noninteracting part in Eq. (1) can be written as [49] …”