Quantum interference effect on low-energy He atomic beam scattering at the surface of He II

The specular reflection coefficient for low-energy ⁴He atoms incident on the free surface of superfluid ⁴He is calculated as a single particle motion coupled to the ripplon field in an effective surface potential. We find a characteristic dip in the reflection coefficient as an interference effect for the truncated surface potential.     

Quantum fluctuations of thermal transport coefficients in mesoscopic systems

The quantum interference effects in small-size samples are discussed. Using a corrected Wiedemann-Franz law, we obtain the functional dependence of the relative thermal conductivity on the relative electrical conductivity. The results show that the fluctuations of thermal transport coefficients have a periodic oscillation corresponding to the electrical conductivity fluctuation, but the amplitudes of them are different for different materials.     

Quantum interference at the twist boundary in graphene

We explore the consequences of a rotation between graphene layers for the electronic spectrum. We derive the commensuration condition in real space and show that the interlayer electronic coupling is governed by an equivalent commensuration in reciprocal space. The larger the commensuration cell, the weaker the interlayer coupling, with exact decoupling for incommensurate rotations and in the theta-->0 limit. Furthermore, from first-principles calculations we determine that even for the smallest possible commensuration cell the decoupling is effectively perfect, and thus graphene layers will be seen to decouple for all rotation angles.     

Quantum transport in a mesoscopic ring: Evidence of an OR gate

We explore the OR gate response in a mesoscopic ring threaded by a magnetic flux . The ring is symmetrically attached to two semi-infinite one-dimensional metallic electrodes, and two gate voltages, V_a and V_b, are applied in one arm of the ring; these are treated as the two inputs of the OR gate. All the calculations are based on the tight-binding model and the Green’s function method, which numerically compute the conductance–energy and current–voltage characteristics as functions of the gate voltages, ring-to-electrode coupling strengths and magnetic flux. Our theoretical study shows that, for =₀/2 (₀=ch/e, the elementary flux-quantum), a high output current (1) (in the logical sense) appears if one or both the inputs to the gate are high (1), while if neither input is high (1), a low output current (0) appears. It clearly demonstrates the OR gate behavior, and this aspect may be utilized in designing an electronic logic gate.     

Exchange and nuclear symmetry interference in He+-He scattering

A method is described to determine the potential difference, V _g-V _u, that will accurately reproduce the exchange and nuclear symmetry oscillations observed by Aberth et al. in their experimental work on He⁺-He differential scattering. It is demonstrated that at higher energies and angles the experimental results for ⁴He⁺-⁴He, ⁴He⁺-³He and ³He⁺-³He appear incompatible with one another when investigated in terms of a two-state scattering theory. This is an indication that at these energies and angles the theory may require modification to include the effects of coupling to higher states.     

Quantum interference in the Raman scattering from the silicon nanostructures

We report here microscopic process involved in the photo-excited Fano interaction due to nonlinear process in the silicon nanostructures. Photo-excited Raman line-shapes are investigated to reveal the presence of nonlinear Fano interaction in the silicon nanostructures for three different sizes. The Fano interaction is found to be more prominent due to the phase matching between electronic and phonon Raman scatterings for smaller sized nanostructures. Phase matching is achieved by nonlinear process of two-wave mixing in the silicon nanostructures followed by the formation of electron-phonon bound state.     

Quantum dots as scatterers in electronic transport: interference and correlations

Conductance through a system consisting of a wire with side-attached quantum dots is calculated. Such geometry of the device allows to study the coexistence of quantum interference, electron correlations and their influence on conductance. We underline the differences between ‘classical’ Fano resonance in which the resonant channel is of single-particle nature and ‘many-body’ Fano resonance with the resonant channel formed by Kondo effect. The influence of electron-electron interactions on the Fano resonance shape is also analyzed.     

Generator-coordinate study of 3He+3He elastic scattering with a semirealistic nucleon-nucleon potential

The elastic scattering of ³He by ³He is studied in the framework of the generator coordinate method, using a new semirealistic nucleon-nucleon potential. All components of this potential have a soft core in the sense that they can be used in calculations where short-range correlations between nucleons are not taken into account. With this potential, a good agreement between calculated and measured cross sections and polarizations is obtained. The tensor component of the potential is found to be essential to explain the J-dependence of the empirical phase shifts, although the calculated polarizations are insensitive to the strength of the tensor potential.     

An experimental study of He elastic,inelastic and charge-exchange scattering from Li

A target of ⁶Li was bombarded with the ³He beam from the University of Illinois cyclotron. Differential cross sections for the elastic scattering, the inelastic scattering to the first two excited states of ⁶Li, and the (³He, t) charge-exchange reaction to the ground state of ⁶Be were determined over angular ranges of approximately 20° to 115° (c.m.) at ³He energies of 24.6 MeV and 27.0 MeV. (The weak inelastic transition to the 3.56 MeV state of ⁶Li, ordinarily obscured by a background of three-body break-up, was observed by requiring a coincidence at most angles between the scattered ³He and the ⁶Li recoil.) The ratio of the integrated charge-exchange cross section between 55° and 115° to the integrated inelastic cross section for this transition (both with ΔT = 1) is somewhat less than expected from isospin considerations (i.e., about 1.6 instead of 2.0).     

Comparison of theoretical and experimental 3He desorption behaviour of titanium tritide films

Helium-3 formed by tritium radioactive decay from tritide layer desorbs at room temperature slowly in a first step, more strongly afterwards. A helium-3 desorption model has been established, based on the positions of He-3 atom and trapping sites in the γ tritide lattice, CaF₂ type, supposed in a perfect state. Theoretical desorption curves as a function of time or helium concentration in the layer has been computed, for metal tritide or deutero-tritide layers. Experimental curves, for a wide tritium concentration range, are given here in the case of titanium layers. They show good agreement with theoretical curves for appropriate parameter values, up to a helium/titanium atomic ratio of 0.25 to 0.30. For higher helium concentrations, rapid helium desorption can be explained by gas bubble growth and percolation, and mechanical degradation of the layer: at this stage, the theoretical model does not apply.     

Quantum interference effect of resonant transport in nano-scale systems

We propose a new method of analyzing the quantum interference effect of the resonant transport in ballistic open systems. The new method is to obtain the resonant eigenvalues by computing the norm of the retarded and advanced Green's functions. Using the method, we illustrate for a fullerene and an AB-ring the relation between each resonant state and each asymmetric conductance peak, namely the Fano peak. We show that the combination of resonant states determines the symmetry of a conductance peak and that the Fano peak is caused by the asymmetry of the numerator of the conductance around a resonance. The Fano peak appears not only due to the quantum interference effect as often claimed, but more generally due to the resonant transport.