Optical response of resonator induced plasmon filters: Nanometric diatomic structures

We investigate the optical response of plasmon filters, which are composed of a diatomic chain of metallic nanoclusters along which a resonator, composed of one or two metallic nanoclusters, is coupled vertically. Taking into account the resonator, we show that the transmission amplitude T$T$ of the electromagnetic radiation may display dips when the geometrical parameters are chosen properly. The presence of a resonator composed of one metallic nanocluster yields a dip at the cluster resonance frequency. When the resonator is composed of two nanoclusters, then if the nanoclusters are of the same material, two dips emerge as a consequence of the splitting of the dip of the one-nanocluster resonator. If the resonator is of two different materials, then we obtain two dips near the resonance frequencies of the nanoclusters. These dips appear when the separations between nanoclusters are properly adjusted. Such a device may be used to transfer directionally the electromagnetic radiation. In the limit of equal atomic nanoclusters we reproduce the monoatomic chain results.     

Negative refraction of complex lattices of dielectric cylinders

Some photonic crystals (PCs) consisting of complex lattices of dielectric cylinders can have an effective refraction index (neff$n_{\mathrm{eff}}$) of −1. Subwavelength imaging by a slab of a honeycomb PC of dielectric cylinders with neff=−1$n_{\mathrm{eff}}=-1$ is investigated and an open resonator with a quality factor higher than 3000 is designed with the same PC. Air–PC interfaces with low reflection are also used for the slab lens and open resonator.     

Euler–Heisenberg effective action and magnetoelectric effect in multilayer graphene

The low energy effective field model for the multilayer graphene (at ABC stacking) is considered. We calculate the effective action in the presence of constant external magnetic field B$B$ (normal to the graphene sheet). We also calculate the first two corrections to this effective action caused by the in-plane electric field E$E$ at E/B?1$E/B?1$ and discuss the magnetoelectric effect. In addition, we calculate the imaginary part of the effective action in the presence of constant electric field E$E$ and the lowest order correction to it due to the magnetic field (B/E?1$B/E?1$).     

Absence of tricritical behavior of the random field Ising model in a honyecomb lattice

In this letter, we study the behavior of the random field Ising model on a honeycomb lattice by means of the effective field theory. We obtain the phase diagram in the T$T$–H$H$ plane for clusters with one spin in a finite size cluster scheme and it is observed the absence of a tricritical point.     

Bistability and steady-state spin squeezing in diamond nanostructures controlled by a nanomechanical resonator

As the quantum states of nitrogen vacancy (NV) center can be coherently manipulated and obtained at room temperature, it is important to generate steady-state spin squeezing in spin qubits associated with NV impurities in diamond. With this task we consider a new type of a hybrid magneto-nano-electromechanical resonator, the functionality of which is based on a magnetic-field induced deflection of an appropriate cantilever that oscillates between NV spins in diamond. We show that there is bistability and spin squeezing state due to the presence of the microwave field, despite the damping from mechanical damping. Moreover, we find that bistability and spin squeezing can be controlled by the microwave field and the parameter V_z$V_z$. Our scheme may have the potential application on spin clocks, magnetometers, and other measurements based on spin–spin system in diamond nanostructures.     

Effective cavity pumping from weakly coupled quantum dots

We derive the effective cavity pumping and decay rates for the master equation of a quantum dot–microcavity system in the presence of N$N$ weakly coupled dots. We show that the in-flow of photons is not linked to the out-flow by thermal equilibrium relationships.     

Dynamical dark energy with a constant vacuum energy density

We present a holographic dark-energy model in which the Newton constant GN$G_N$ scales in such a way as to render the vacuum energy density a true constant. Nevertheless, the model acts as a dynamical dark-energy model since the scaling of GN$G_N$ goes at the expense of deviation of concentration of dark-matter particles from its canonical form and/or of promotion of their mass to a time-dependent quantity, thereby making the effective equation of state (EOS) variable and different from −1 at the present epoch. Thus the model has a potential to naturally underpin Dirac's suggestion for explaining the large-number hypothesis, which demands a dynamical GN$G_N$ along with the creation of matter in the universe. We show that with the aid of observational bounds on the variation of the gravitational coupling, the effective-field theory IR cutoff can be strongly restricted, being always closer to the future event horizon than to the Hubble distance. As for the observational side, the effective EOS restricted by observation can be made arbitrary close to −1, and therefore the present model can be considered as a “minimal” dynamical dark-energy scenario. In addition, for nonzero but small curvature (|Ω_k0|?0.003)$(|{\Omega }_{k0}|?0.003)$, the model easily accommodates a transition across the phantom line for redshifts z?0.2$z?0.2$, as mildly favored by the data. A thermodynamic aspect of the scenario is also discussed.     

A study on the action of non-Gaussian noise on a Brownian particle

We analytically address the non-equilibrium problem of a Brownian particle in contact with a thermal reservoir by means of a non-Gaussian Langevin noise term η(t)$\eta \left(t\right)$. The presence of noise kurtosis is akin to a second temperature reservoir acting on the system, and we exploit its consequences by means of studying a converging exact form for the stationary probability distribution.     

Exchange bias and anomalous vertical shift of the hysteresis loops in milled Fe/MnO2 material

The present article reports studies on structural and magnetic properties of nanostructured Fe/MnO₂ materials prepared by mechanosynthesis method, with Fe to MnO₂ ratios of 20/80, 50/50 and 60/40. X-ray diffraction patterns indicate that the milled materials have crystalline grain size in the nanoscale region. Mössbauer spectra of the milled materials suggest the presence of two Fe phases for each sample: a nanocrystalline α$\mathrm{\alpha }$-Fe phase with a high degree of disorder/defects and small Fe-oxide particles. The magnetic hysteresis (M(H)$M(H)$) loops, measured at 4.2 K, after the samples were cooled from 300 K in ±10 kOe fields, show unexpected large shifts in both horizontal and vertical directions for the 20/80 sample, while only horizontal shift was detected in the samples with higher Fe concentration. The anomalous vertical shift of the M(H)$M(H)$ loop for the 20/80 sample, observed at low cooling field (10 kOe), is being associated with a large contribution from non-collinear magnetic structure of the particles surface. This surface magnetic contribution is strongly influenced by the field cooling magnitude. A simple model is proposed to interpret this result.     

Arbitrary l-state solutions of the rotating Morse potential through the exact quantization rule method

By using the exact quantization rule, for non-zero l   values we present analytical solutions of the radial Schrödinger equation for the rotating Morse potential in the frame of the Pekeris approximation. The energy levels of all the bound states are easily calculated from this quantization rule. Especially, the intractable normalized wavefunctions are also obtained. The numerical calculations for three typical diatomic molecules HCl, CO and LiH are compared with those obtained by other methods such as the supersymmetry, the Fourier gird Hamiltonian, the asymptotic iteration, the variational, the Nikiforov–Uvarov, the shifted 1/N$1/N$ expansion and the modified shifted 1/N$1/N$ expansion. It is found that the results obtained by the present method are in good agreement with those obtained by other approximate methods.     

Distribution of xp in some molecular rotational states

Developing the analysis of the distribution of the so-called posmom xp to some molecular rotational states for diatomic molecules and spherical cage molecules, we obtain posmometry (introduced recently by Bernard and Gill, 2010 [5]) of the spherical harmonics and demonstrate that it is similar to the momentum distributions of the stationary states for a one-dimensional simple harmonic oscillator. The results are not only potentially experimentally testable but also reflect a fact that the embedding of the two-dimensional spherical surface S²$S^2$ in three-dimensional flat space R³$R^3$ is physically self-consistent and appealing.     

An information-based tool for inferring the nature of deterministic sources in real data

The scope of the paper is to find signatures of the forces controlling complex systems modeled by Langevin equations, by recourse to information-theory quantifiers. We evaluate in detail the permutation entropy (PE) and the permutation statistical complexity (PSC) measures for two similarity classes of stochastic models, characterized by either drifting or reversion properties, and employ them as a reference basis for the inspection of real series. New relevant model parameters arise as compared to standard entropy measures. We determine the normalized PE and PSC curves according to them over a range of permutation orders n$n$ and infer the limiting measures for arbitrary large order. We found that the PSC measure is strongly scale-dependent, with systems of the drifting class showing crossovers as n$n$ increases. This result gives warning signs about the proper interpretation of finite-scale analysis of complexity in general processes. Conversely, a key n$n$-invariant outcome arises, that is, the normalized PE values for both classes of models keep complementary for any n$n$. We argue that both PE and PSC measures enable one to unravel the nature (drifting or restoring) of the deterministic sources underlying complexity. We conclude by investigating the presence of local trends in stock price series.     

Thermal radiation effects on MHD flow of a micropolar fluid over a stretching surface with variable thermal conductivity

In this paper, the effects of variable thermal conductivity and radiation on the flow and heat transfer of an electrically conducting micropolar fluid over a continuously stretching surface with varying temperature in the presence of a magnetic field are considered. The surface temperature is assumed to vary as a power-law temperature. The governing conservation equations of mass, momentum, angular momentum and energy are converted into a system of non-linear ordinary differential equations by means of similarity transformation. The resulting system of coupled non-linear ordinary differential equations is solved numerically. The numerical results show that the thermal boundary thickness increases as the thermal conductivity parameter S$S$ increases, while it decreases as the radiation parameter F$F$ increases. Also, it was found that the Nusselt number increases as F$F$ increases and decreases as S$S$ increases.     

Monte Carlo study of a superlattice with alternate layers

A Monte Carlo (MC) simulation was used to observe the magnetic behavior of a superlattice Ising Model, in the presence of both an external and crystal magnetic fields. The system is made up to layers σ=±1/2$\sigma =\pm 1/2$ and S=±1,0$S=\pm 1,0$. The effect of the exchange interaction coupling _Jp$J_p$ between the spin configurations σ$\sigma$ and S$S$ is investigated for different values of temperature at fixed values of the crystal field. We found that this parameter increases the magnetization of the system at high temperature. Also, the critical temperature is calculated, for each spin configuration as function of temperature using the MC technique. The thermal behavior magnetizations and susceptibilities are studied. Finally, the response of the magnetization to the field shows a hysteresis behavior.