Charge densities and charge noise in mesoscopic conductors

We introduce a hierarchy of density of states to characterize the charge distribution in a mesoscopic conductor. At the bottom of this hierarchy are the partial density of states which represent the contribution to the local density of states if both the incident and the out-going scattering channel is prescribed. The partial density of states play a prominent role in measurements with a scanning tunneling microscope on multiprobe conductors in the presence of current flow. The partial density of states determine the degree of dephasing generated by a weakly coupled voltage probe. In addition the partial density of states determine the frequency-dependent response of mesoscopic conductors in the presence of slowly oscillating voltages applied to the contacts of the sample. The partial density of states permit the formulation of a Friedel sum rule which can be applied locally. We introduce the off-diagonal elements of the partial density of states matrix to describe charge fluctuation processes. This generalization leads to a local Wigner-Smith life-time matrix.     

The density of states in the mobility gap ofa-Si1−x Ge x films

Summary The density of states distribution (DOS) in the mobility gap of undoped glow-dischargea-Si_1-x Ge _x : H alloy films was determined by means of field effect tecnique. The specimens were grown at different percentages of Ge. The DOS of the films shows a behaviour related to the content of germanium and it is independent of the presence of additional hydrogen in discharge. The authors of this paper have agreed to not receive the proofs for correction.     

Photon density of states in polarization-entangled laser operation

In the context of nonlinear interaction between a classical pump field and two polarization-entangled photon modes, we derive mathematical expressions involving the photon occupation number and photon density of states in polarization-entangled laser operation at low temperature.     

Kondo impurities in nanoscopic and mesoscopic systems

We present results for Kondo impurities in nanoscopic systems. Using Wilson's numerical renormalization group we analyze two different situations: an isolated system with a discrete spectrum of well-defined energy levels and a fixed number of electrons and a nanoscopic system weakly coupled to a macroscopic reservoir. In the latter case, new regimes not observed in macroscopic homogeneous systems are induced by the confinement of conduction electrons. These new confinement-induced regimes are very different depending on whether the Fermi energy is at resonance or between two quasi-bound states.     

Phonon density of states of tetracyanoethylene from coherent inelastic neutron scattering at Dhruva reactor

Inelastic neutron scattering experiments to determine phonon density of states of coherent scattering samples of polycrystalline complex solids are generally intensity-limited and therefore are feasible only at high flux facilities. Phonon density of states of the monoclinic phase of tetracyanoethylene at 300 K, obtained using the medium resolution triple axis spectrometer at the new Indian medium flux reactor Dhruva are reported here. The raw data is converted to the “neutron weighted” phonon density of states by applying suitable corrections. Comparison made with results from a theoretical calculation based on a semirigid molecule model of lattice dynamics is fair. Results from Dhruva are also consistent with that obtained (to be published) at the high flux pulsed neutron source (ISIS) of the Rutherford Appleton Laboratory in United Kingdom.     

Anomalous density of states in hybrid normal metal-superconductor bilayers

In contact with a superconductor, the Andreev reflection of the electrons locally modifies the N metal electronic properties, including the local density of states (LDOS). We investigated the LDOS in superconductor-normal metal (Nb-Au) bilayers using a very low temperature (60 mK) STM on the normal metal side. High resolution tunneling spectra measured on the Au surface show a clear proximity effect with an energy gap of reduced amplitude compared to the bulk Nb gap. The dependence of this mini-gap width with the normal metal thickness is discussed in terms of the Thouless energy. Within the mini-gap, the density of states does not reach zero and shows clear sub-gap features. We compare the experimental spectra with the well-established quasi-classical theory.     

The density of states in the mobility gap of halogenated amorphous silicon

Summary The density of states in the mobility gap of halogenated amorphous silicon has been measured by the field effect technique. The results are discussed to shed light on the reality of a peak found in the DOS. A comparison is made with the DOS curves obtained by SCLC in the same material. To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.     

Impurity-induced states on the surface of a three-dimensional Weyl semimetal

We study theoretically the features of impurity-induced states on the surface of a three-dimensional Weyl semimetal in this work. For calculating the impurity-induced local density of states based on T-matrix formulation, we found that for different Weyl semimetal phases the behaviors of a local impurity exhibit distinguishable prominent features for the surface Fermi arc states. Due to two opposite-directional and -chirality surface currents for a surface, a bound state appears at the unitary limit of scattering intensity near the impurity site. Then the resonance condition for different Weyl semimetal phases and scattering intensity is investigated. Our results can be used to identify distinctive topological phases of Weyl semimetal. Furthermore, the relevance of topological nodal-point and -line systems is discussed. Some relation between our theoretical results and current experimental scheme are also discussed.     

Scattering theory approach to bosonization of non-equilibrium mesoscopic systems

Between many prominent contributions of Markus Büttiker to mesoscopic physics, the scattering theory approach to the electron transport and noise stands out for its elegance, simplicity, universality, and popularity between theorists working in this field. It offers an efficient way to theoretically investigate open electron systems far from equilibrium. However, this method is limited to situations where interactions between electrons can be ignored, or considered perturbatively. Fortunately, this is the case in a broad class of metallic systems, which are commonly described by the Fermi liquid theory. Yet, there exist another broad class of electron systems of reduced dimensionality, the so-called Tomonaga–Luttinger liquids, where interactions are effectively strong and cannot be neglected even at low energies. Nevertheless, strong interactions can be accounted exactly using the bosonization technique, which utilizes the free-bosonic character of collective excitations in these systems. In the present work, we use this fact in order to develop the scattering theory approach to the bosonization of open quasi-one dimensional electron systems far from equilibrium.     

Long-time integration methods for mesoscopic models of pattern-forming systems

Spectral methods for simulation of a mesoscopic diffusion model of surface pattern formation are evaluated for long simulation times. Backwards-differencing time-integration, coupled with an underlying Newton–Krylov nonlinear solver (SUNDIALS-CVODE), is found to substantially accelerate simulations, without the typical requirement of preconditioning. Quasi-equilibrium simulations of patterned phases predicted by the model are shown to agree well with linear stability analysis. Simulation results of the effect of repulsive particle–particle interactions on pattern relaxation time and short/long-range order are discussed.     

Phonon density of states of ann-component alloy

We have generalized the coherent potential approximation (CPA) of Tripathi and Behera to the case of ann-component alloy. It is seen that then-component CPA density of states reproduces the binary, ternary quartenary alloys etc when the appropriate limits are adopted.     

Reprint of : Scattering theory approach to bosonization of non-equilibrium mesoscopic systems

Between many prominent contributions of Markus Büttiker to mesoscopic physics, the scattering theory approach to the electron transport and noise stands out for its elegance, simplicity, universality, and popularity between theorists working in this field. It offers an efficient way to theoretically investigate open electron systems far from equilibrium. However, this method is limited to situations where interactions between electrons can be ignored, or considered perturbatively. Fortunately, this is the case in a broad class of metallic systems, which are commonly described by the Fermi liquid theory. Yet, there exist another broad class of electron systems of reduced dimensionality, the so-called Tomonaga–Luttinger liquids, where interactions are effectively strong and cannot be neglected even at low energies. Nevertheless, strong interactions can be accounted exactly using the bosonization technique, which utilizes the free-bosonic character of collective excitations in these systems. In the present work, we use this fact in order to develop the scattering theory approach to the bosonization of open quasi-one dimensional electron systems far from equilibrium.     

介观 Josephson 结与激发偶奇相干态的相互作用

本文研究介观 Josephson 结与激发偶奇相干态的相互作用。研究了存在非经典光场时介观 Josephson 结中超导电流的一些特性，诸如崩塌与复苏现象，流压台阶特性，直流分量涨落以及超导电流的量子相干等。结果显示，超导电流的涨落及期望值可呈现直流分量。结果还显示稳态超导电流量，超导电流涨落的直流分量以及超导电流直流分量的关联函数等皆与光场的相位有关。     

The density of states in the mobility gap of amorphous-silicon films computed by a new analytical method

Summary The field effect technique has been used to measure the density of states in the mobility gap of silicon films. We used a new method to compute the density of states distribution. The method is based on an analytical solution of the Fredholm integral equation, which relates the space charge density to the density of states. To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.     

Local density of states of dc-biased superlattices with time-dependent imperfection

The single-particle Green's function for a dc-biased superlattices with single impurity potential varying harmonically with time has been obtained in the framework of U(t,t') method and Floquet--Green's function. The calculation of the local density of states shows that new states will emerge between the resonant Wannier--Stark states as a result of the intervention of time-dependent impurity potential, and the increase in electric field strength of impurity will result in the growing of the number of new states between the gaps of neighbouring Stark ladders.     

用不同密度分布的发光分子探测光子晶体的全态密度

单一原子（分子）的自发辐射衰变的动力学性质强烈地依赖于其在光子晶体中的位置及其辐射偶极矩与所处位置场的相对方向.测量单一原子（分子）的自发辐射衰变特性只能反映光子晶体的局域态密度特征，而不能反映光子晶体的全态密度特征.理论上研究发现，通过引入含不同密度分布的发光分子可以探测到光子晶体的全态密度的部分细节甚至全部信息.按来源首次将全态密度分为两个部分，证明了特定的发光分子分布可以完善地反映其中的一部分或者全部，这为解释、设计加速或抑制原子（分子）自发辐射的实验提供了有益的指导. 关键词： 光子晶体 自发辐射 态密度 密度分布     

A simple model of local density approximation in nonconducting systems. Application to argon and silicon

Summary A new simple model within the local density approximation (LDA) is presented for the exchange potential in systems with an energy gap in their excitation spectrum. APW band structure calculations are performed for silicon and argon and the width of the fundamental gaps is evaluated, employing the so-developed local-exchange-only potential. The results are compared with those obtained by using in the calculation the standard LDA and the exchange-only potential of Levine and Louie. A better qualitative agreement with the experiment is found by employing the presently proposed exchange potential in comparison with the other potentials we considered.

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Riassunto Nel presente lavoro si presenta un nuovo semplice modello per il potenziale di scambio, nell'ambito dell'approssimazione dilocal density, per i sistemi non conduttori. Dei calcoli con il metodo APW sono stati effettuati per il silicio e l'argon e la larghezza delgap è state determinata impiegando il nuovo potenziale. I risultati sono riportati in confronto al potenziale normalmente usato per i sistemi conduttori ed quello di Levine e Louie. Il presente potenziale dà risultati qualitativamente superiori agli altri due considerati. Eventuali miglioramenti di questo modello (eliminazione dell'approssimazione dimuffin tin e contributi di correlazione) potrebbero portare ad un accordo quantitativo con i risultati sperimentali.

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Резюме Предлагается новая простая модель в рамках приблиижения локальной плотности для обменного потенциала в системах с знергетической щелью в спектре возбуждения. Проводятся вьічисления зонной структурьі в приближении локальной плотности для кремния и аргона. Оценивается ширина основньіх запрещенньіх зон, используя полученньй локальвнвй обменный потенциал. Полученныіе результаты сравниваются с результатми вычислений с использованием стандартного приближения локальной плотности и обменного потенциала Левина и Луйе. Использование предложенного обменного потенциала приводит к лучшему качественному согласию с зкспериментом по сравнению с другими потенциалами.

     

A simple analysis of the einstein relation in bismuth under different physical conditions

Summary We have studied the Einstein relation of the diffusivity-mobility ratio of the carriers in Bi in accordance with the McClure and Choi, the hybrid, the Cohen, the Lax and the ellipsoidal parabolic energy band models under magnetic quantization, cross-field configuration, quantum wells, electric-field-aided quantum wells, quantum wells under cross-field configuration, quantumwell wires, electrifield-aided quantum well wires and quantum well wires under cross-field configurations, respectively. The Einstein relation varies with various physical variables in different manners which are totally band structure dependent. We have also suggested an experimental method of determining the diffusivity-to-mobility ratio in degenerate materials having arbitrary dispersion laws.     

The density of states for an antiferromagnetic Ising model on a triangular lattice

The Wang-Landau algorithm is an efficient Monte Carlo approach to the density of states of a statistical mechanics system. The estimation of state density would allow the computation of thermodynamic properties of the system over the whole temperature range. We apply this sampling method to study the phase transitions in a triangular Ising model. The entropy of the lattice at zero temperature as well as other thermodynamic properties is computed. The calculated thermodynamic properties are explained in the context of the magnetic phase transition.