Charge susceptibilities of armchair graphene nanoribbon in the presence of magnetic field

We present the behaviors of both dynamical and static charge susceptibilities of undoped armchair graphene nanoribbon using the Green's function approach in the context of tight binding model Hamiltonian.Specifically,the effects of magnetic field on the the plasmon modes of armchair graphene nanoribbon are investigated via calculating the correlation function of charge density operators.Our results show that the increase of magnetic field makes the high-frequency plasmon mode for both metallic and insulating cases disappear.We also show that low-frequency plasmon mode for metallic nanoribbon appears due to increase of magnetic field.Furthermore,the number of collective excitation modes increases with ribbon width at zero magnetic field.Finally,the temperature dependence of the static charge structure factor of armchair graphene nanoribbon is studied.The effects of both magnetic field and ribbon width on the static charge structure factor are discussed in detail.     

Influence of the core polarization on the dielectric properties of polyvalent metals

We have measured the dispersion of plasmon excitations in polycrystalline Sn, Pb, Cd and Zn using electron energy-loss spectroscopy (EELS) in transmission. These metals show a remarkable deviation of their plasmon behaviour from standard theoretical expectations which can be attributed to the presence of shallow core levels in the energetic neighborhood of the plasmon energy. The position of the plasmon resonance in the long wavelength limit is in line with predictions from model assumptions taking into account the core level polarization effects. We show that not only the plasmon energy in the optical limit but also the plasmon dispersion is altered by the interaction of the charge carrier plasmon and the core level excitations. Received: 15 June 1998 / Revised and Accepted: 9 July 1998     

Charge density and orientation dependence of the effectiveness mass in electron inversion layers on the principal surfaces of Si

The effective mass in two dimensional space charge layers has been determined from plasmon resonance experiments on the three principal surfaces of Si for a wide range of charge densities N_S=0.5×10¹²cm^-2 to 1.2× 10¹³cm^-2 and different directions of the plasmon wavevector in the surface. We report first plasmon experiments on Si (110) and verify an anisotropic plasmon mass. Special attention is paid to the low density regime where electron-electron interaction and localization effects are expected. On all surfaces we find a mass enchancement with decreasing charge density. The onset of the mass enchancement occurs at different charge densities for the different surfaces and is correlated with the Fermi energy.     

Effect of charge order on the plasmon dispersion in transition-metal dichalcogenides

We investigate the dispersion of the charge carrier plasmon in the three prototypical charge-density wave bearing transition-metal dichalcogenides 2H-TaSe(2), 2H-TaS(2), and 2H-NbSe(2) employing electron energy-loss spectroscopy. For all three compounds the plasmon dispersion is found to be negative for small momentum transfers. This is in contrast with the generic behavior observed in simple metals as well as the related system 2H-NbS(2), which does not exhibit charge order. We present a semiclassical Ginzburg-Landau model which accounts for these observations, and argue that the vicinity to a charge ordered state is thus reflected in the properties of the collective excitations.     

Dipole and quadrupole plasmon in confined quasi-one-dimensional electron gas systems

An eigen-equation of plasmon excitation in confined quasi-one-dimensional systems is presented. Besides dipole plasmons, quadrupole plasmons are found in the systems by comparing the eigen-solutions with the dipole response. For both dipole and quadrupole plasmons, the plasmon frequencies decrease with the increase of the system's length, and their size dependence can be well fitted by the plasmon dispersion in the infinite systems calculated by the random phase approximation. Through extensively studies of eigen-charge density and induced charge density, we find that quadrupole plasmon corresponds to symmetric charge density distribution, and can only be excited by non-uniform electric field.     

Two-dimensional plasmons in hole space charge layers on silicon

We have observed two-dimensional plasmons in hole space charge layers of silicon. On Si(110) surfaces the plasmon mass depends on the charge density and shows a significant anisotropy for different directions of the plasmon wavevector in the surface. The determination of the plasmon mass allows detailed informations on the anisotropic and nonparabolic 2-D bandstructure of hole space charge layers.     

二维方形量子点体系等离激元的量子化

量子点体系等离激元的研究是光电子学领域的热点.为进一步加深和完善对等离激元的量子效应的认识,本文利用紧束缚近似和线性响应理论研究了二维方形量子点体系对外场的集体响应.结果表明,当外场频率等于等离激元的频率时,量子点体系会有强烈的电荷振荡,并伴随着能量的极大吸收和近场的增强.在量子点中,等离子体存在分立的元激发.等离子体元激发的个数将随着量子点尺寸和电子个数的增加而增加.随量子点尺寸的增加,分立的等离激元将逐步呈现准连续的特性,即过渡为经典连续的等离激元,其频谱曲线演化为经典的色散曲线.结果还表明:随量子点尺寸的增加,等离激元的频率会红移,等离激元的激发强度会增大;随量子点中电子数的增加,等离激元的频率会蓝移,等离激元的激发强度会增大.     

分子激发中的表面等离激元增强效应

金属纳米粒子的表面等离激元增强效应是纳米科学领域的一个研究热点.针对染料分子与金属纳米粒子的耦合系统,应用偶极-偶极近似计算分子与金属纳米粒子的库仑相互作用,并应用密度矩阵理论描述在不同极化方向的电场作用下的电荷输运过程,分析了分子与金属纳米粒子在不同相对位置下分子激发态的动力学过程,发现表面等离激元的增强效应与分子和金属钠米粒子的相对位置以及等离激元的耗散系数有密切关系,详细讨论了分子与金属纳米粒子间的耦合强度、外场的极化方向、等离激元的寿命及共振激发条件对分子激发态及表面等离激元增强的影响,分析了分子-金属纳米粒子耦合系统中表面等离激元增强效应的物理本质.     

Spontaneous breaking of the Galilei group and the plasmon energy gap

The generalization of Goldstone's theorem to dynamics with long range interactions is applied to the Coulomb Fermi gas in uniform charge background. It is shown that the plasmon energy spectrum for can be exactly derived from the spontaneous breaking of the Galilei boosts, with the plasmon excitations playing the rôle of Goldstone bosons. The connection with the appearence of variables at infinity in the dynamics of local variables and with a “classical dynamics at infinity” is discussed.     

Study of the optical properties of pyridine intercalated niobium disulphide by electron energy loss spectroscopy

High energy electron energy loss spectroscopy (EELS) has been used to study the influence of the intercalation with pyridine on the optical properties of the host material 2H-NbS₂. The optical joint density of states function OJDOS(ω) of the intercalated material is found to be well represented by a linear superposition of the OJDOS of pure NbS₂ and that of pyridine. A charge transfer from pyridine to NbS₂ of (0.27±0.05) electrons per NbS₂ formula unit is deduced from the energy shift of the d-band plasmon loss relative to the pure host material. Assuming this shift to be caused by a change in the charge density contributing to the d-band plasmon is confirmed by an unchanged effective mass of the electrons in the d_z2 band upon intercalation as has been deduced from the dispersion of the plasmon in question.     

介观尺寸原子链中的等离激元：紧束缚模型

本文运用紧束缚模型对介观尺寸原子链的等离激发进行了系统的研究, 通过量子响 应理论和相无规近似得到了等离激元的本征频率方程, 通过该方程计算了系统中等离子体的激发能量, 并分别对体系的本征振荡以及外电场作用在原子链上发生共振的情况进行了研究. 结果表明, 体系在外场作用下发生共振时, 偶极矩的峰值与等离子体的激发态相对应, 说明外场此时激发了等离激元; 体系处在共振情况下, 电荷振荡的幅度远远大于非共振的情况, 相对来说体系的电荷虚部的共振更为明显. 对于体系的本征等离振荡频率, 同等长度时等离子体的激发能量总是大于同级的单电子激发能量; 等离激元的能谱与原子链的长度和电子密度以及系统的库仑关联强度都有很大关系; 在原子链长度保持不变的情况下, 等离子体的激发能量随电子数目的变化以半满为中心呈对称关系. 关键词： 纳米结构 一维原子链 等离激元     

Charge carrier interaction with a purely electronic collective mode: plasmarons and the infrared response of elemental bismuth

We present a detailed optical study of single-crystal bismuth using infrared reflectivity and ellipsometry. Large changes in the plasmon frequency are observed as a function of temperature due to charge transfer between hole and electron Fermi pockets. In the optical conductivity, an anomalous temperature dependent midinfrared absorption feature is observed. An extended Drude model analysis reveals that it can be connected to a sharp upturn in the scattering rate, the frequency of which exactly tracks the temperature dependent plasmon frequency. We interpret this absorption and increased scattering as direct optical evidence for a charge carrier interaction with a collective mode of purely electronic origin, here electron-plasmon scattering. The observation of a plasmaron as such is made possible only by the unique coincidence of various energy scales and exceptional properties of semimetal bismuth.     

Surface plasmons and the image force in metals

It is shown that the classical image potential acting between a point classical charge and a metal surface may be regarded as originating in the shifted zero point energy of the surface plasmon field. The retardation correction to the image potential is studied using the electron gas model.     

层层自组装金纳米粒子表面等离子体引发光电流应用于等离子体增感太阳能电池

等离子体增感太阳能电池中,层层自组装金纳米粒子的表面等离子体共振能产生光电电流,金纳米粒子层的光电转换效率随表面等离子体共振强度的提升而增加。等离子体增感太阳能电池初步试验光电转换效能为0.75%。利用模型仿真电荷分离的现象、光电电流的产生,以及表面等离子体共振和光电电流产生之间的关系来解释实验结果。在未来,通过优化等离子体增感太阳能电池组件,可以进一步提升其转换效率。这在表面等离子体激活太阳能电池及等离子体太阳能电池领域将有很大应用潜力。     

Formula for the absorption coefficient for multi-wall nanotubes

We present a formalism for calculating the absorption coefficient of a pair of coaxial tubules. A spatially nonlocal, dynamical self-consistent field theory is obtained by calculating the electrostatic potential produced by the charge density fluctuations as well as the external electric field. There are peaks in the absorption spectrum arising from plasma excitations corresponding either to plasmon or particle-hole modes. In this Letter, we numerically calculate the plasmon contribution to the absorption spectrum when an external electric field is applied. The number of peaks depends on the radius of the inner as well as outer tubule. The height of each peak is determined by the plasmon wavelength and energy. For a chosen wave number, the most energetic plasmon has the highest peak corresponding to the largest oscillator strength of the excited modes. Some of the low-frequency plasmon modes have such weak coupling to an external electric field that they are not seen on the same scale as the modes with larger energy of excitation. We plot the peak positions of the plasmon excitations for a pair of coaxial tubules. The coupled modes on the two tubules are split by the Coulomb interaction. The energies of the two highest plasmon branches increase with the radius of the outer tubule. On the contrary, the lowest modes decrease in energy as this radius is increased. No effects due to inter-tubule hopping are included in these calculations.     

On the Theory of Plasmon Dispersion in Electron-Doped Cuprates

An explicit expression for the dynamic charge susceptibility for electron-doped cuprates has been derived. This expression accurately reproduces the wave vector dependence of the plasmon frequency observed in inelastic X-ray scattering experiments for Nd_{2 – x}Ce_xCuO₄. The imaginary part of the charge susceptibility along the triangular path in the Brillouin zone is plotted. It is demonstrated that the spectral weight of the plasmon mode near q = 0 is negligibly low. The calculated frequencies of the plasmon mode for all wave vectors in the Brillouin zone turn out to lie outside the range of damping related to electron?hole excitations. A formula for the charge susceptibility is derived within the t?t′?t″?J model supplemented by the Coulomb interaction operator and three-site terms. The derivation is performed by the Green’s function technique employing the formalism of composite Hubbard operators and the Mori projection method, which have proved themselves in the analysis of collective spin excitations. The used Fourier transform of the Coulomb interaction corresponds to the monolayer model with a spatially periodic structure, which is embedded in a three-dimensional crystal lattice.     

Effect of transition metal (Fe, Cu, Ni, Rh)-doped small silver chains on optics of plasmon resonances

Doping can control and tune the optical properties of current nanoalloys. In this study, the optical generation of plasmon resonance mode in pure-Ag and transition metal (Fe, Cu, Ni, Rh) single-doped Ag chains is investigated using time-dependent density functional theory. Results show that the redshift of plasmon energy appears and intensity of longitudinal mode enhances with increasing the number of Ag atoms in pure silver chains. The Ag chains doped with transition metal (TM) atom create an additional peak with a local plasmon resonance mode which is related to charge redistribution in the chain around TM atom.     

Red shift of surface plasmons in small metal particles

It is shown that the experimentally found red shift of the surface plasmon resonance in a small metal particle is a direct measure of the first moment of the induced surface charge.     

Secondary plasmon resonance in graphene nanostructures

The plasmon characteristics of two graphene nanostructures are studied using time-dependent density functional theory (TDDFT). The absorption spectrum has two main bands, which result from π and σ + π plasmon resonances. At low energies, the Fourier transform of the induced charge density maps exhibits anomalous behavior, with a π phase change in the charge density maps in the plane of the graphene and those in the plane 0.3 ? from the graphene. The charge density fluctuations close to the plane of the graphene are much smaller than those above and beneath the graphene plane. However, this phenomenon disappears at higher energies. By analyzing the electronic properties, we may conclude that the restoring force for the plasmon in the plane of the graphene does not result from fixed positive ions, but rather the Coulomb interactions with the plasmonic oscillations away from the plane of the graphene, which extend in the surface-normal direction. The collective oscillation in the graphene plane results in a forced vibration. Accordingly, the low-energy plasmon in the graphene can be split into two components: a normal component, which corresponds to direct feedback of the external perturbation, and a secondary component, which corresponds to feedback of the Coulombic interaction with the normal component.     

Minigap plasmons in a two-dimensional electron gas subjected to a one-dimensional periodic potential

We investigate the plasmon excitations in a two-dimensional electron gas subjected to a one-dimensional weak periodic potential. We derive and discuss the dispersion relations for both intrasubband and intersubband excitations within the framework of Bohm-Pines' random-phase approximation. For such an anisotropic system with spatially modulated charge density, we observe a splitting of the 2D plasmon dispersion. The splitting is caused by the superlattice effect of the charge-density modulation on the collective excitation spectrum. We also discuss how the tunneling and the potential amplitude affect the plasmon excitations.