Semiclassical approach to orbital magnetism of interacting diffusive quantum systems

We study interaction effects on the orbital magnetism of diffusive mesoscopic quantum systems. By combining many-body perturbation theory with semiclassical techniques, we show that the interaction contribution to the ensemble-averaged quantum thermodynamic potential can be reduced to an essentially classical operator. We compute the magnetic response of disordered rings and dots for diffusive classical dynamics. Our semiclassical approach reproduces the results of previous diagrammatic quantum calculations.     

Addition energies of fullerenes and carbon nanotubes as quantum dots: the role of symmetry

Using density-functional theory calculations, we investigate the addition energy (AE) of quantum dots formed of fullerenes or closed single-wall carbon nanotubes. We focus on the connection between symmetry and oscillations in the AE spectrum. In the highly symmetric fullerenes the oscillation period is large because of the large level degeneracy and Hund's rule. For long nanotubes, the AE oscillation is fourfold. Adding defects destroys the spatial symmetry of the tubes, leaving only spin degeneracy; correspondingly, the fourfold behavior is destroyed, leaving an even/odd behavior which is quite robust. We use our symmetry results to explain recent experiments.     

Adsorption and desorption of an O2 molecule on carbon nanotubes

Adsorption and desorption of an oxygen molecule on carbon nanotubes are investigated using density functional calculations. Several precursor states exist at the edge of armchair nanotubes, whereas an exothermic adsorption takes place at the edge of zigzag nanotubes. We also estimate desorption barriers of a CO molecule from nanotubes as well as fullerenes and amorphous phases. Our calculations suggest that carbon nanotubes can survive selectively during the oxidative etching process with a precise control of annealing temperature, in good agreement with experimental results of purification process of carbon nanotubes.     

One-dimensional self-assembly of C60 molecules on periodically wrinkled graphene sheet: A Monte Carlo approach

Periodically wrinkled graphene sheet is of interest as a building block to develop nanoelectronic devices. This work presents that periodically wrinkled graphene sheet can be applied to a pattern, to form one-dimensionally well-ordered C₆₀ molecules, via Monte Carlo simulations using the data obtained from atomistic calculations. Since the valleys of a sinusoidal graphene surface provide energetic ground sites for absorbed C₆₀ molecules, their motions seeking stable positions lead to one-dimensional self-assembly. The size of the wrinkles, the density of adsorbed C₆₀ molecules, and the temperature are very important parameters to obtain a one-dimensional C₆₀ molecules array. We estimate high one-dimensional diffusion coefficients of C₆₀ molecules on the wrinkled graphene surface. Our results can provide a possible approach to make a quantum information array, based on endohedral fullerenes and a graphene quantum dot array, by transforming C₆₀ molecules to graphene nanoflakes.     

Image potential from a free electron metal

We calculate the response of a free electron metal to a static charge Q located outside of the metal surface. We derive the electrostatic potential outside of the surface, inside of the surface, and the frequency response. Our derivation uses standard quantum mechanics, and the results are found exactly in the random phase approximation. Unlike prior calculations, which made approximations, our results do not agree with classical image theory.     

Optically probing spin and charge interactions in a tunable artificial molecule

We optically probe and electrically control a single artificial molecule containing a well defined number of electrons. Charge and spin dependent interdot quantum couplings are probed optically by adding a single electron-hole pair and detecting the emission from negatively charged exciton states. Coulomb- and Pauli-blockade effects are directly observed, and tunnel coupling and electrostatic charging energies are independently measured. The interdot quantum coupling is shown to be mediated by electron tunneling. Our results are in excellent accord with calculations that provide a complete picture of negative excitons and few-electron states in quantum dot molecules.     

Electron–phonon effect on the ground-state binding energy of hydrogenic impurity in quantum-well wire in presence of an electric field

The hydrogenic impurity binding energy in rectangular quantum well wire including both barriers of finite height and an applied electric field are studied. The polaron effects on the ground-state binding energy in electric field are investigated by means of Landau-Pekar variation technique. The results for the binding energy as well as polaronic correction are obtained as a function of the size of the wire, the applied electric field and the position of the impurity. Our calculations are compared with previous results in quantum wires of comparable dimensions.     

Laser field effect on the nonlinear optical properties of a square quantum well under the applied electric field

In this paper the effect of the laser field on the nonlinear optical properties of a square quantum well under the applied electric field is investigated theoretically. The calculations are performed in saturation limit using the density matrix formalism and the effective mass approach. Our results show that the laser field considerably effects the confining potential of the quantum well and thus the nonlinear optical properties.     

Electron emission from diamondoids: a diffusion quantum Monte Carlo study

We present density-functional theory (DFT) and quantum Monte Carlo (QMC) calculations designed to resolve experimental and theoretical controversies over the optical properties of H-terminated C nanoparticles (diamondoids). The QMC results follow the trends of well-converged plane-wave DFT calculations for the size dependence of the optical gap, but they predict gaps that are 1-2 eV higher. They confirm that quantum confinement effects disappear in diamondoids larger than 1 nm, which have gaps below that of bulk diamond. Our QMC calculations predict a small exciton binding energy and a negative electron affinity (NEA) for diamondoids up to 1 nm, resulting from the delocalized nature of the lowest unoccupied molecular orbital. The NEA suggests a range of possible applications of diamondoids as low-voltage electron emitters.     

A fullerene silirane derivative to improve the open circuit voltage in a polymer–fullerene solar cell: a theoretical study

In this letter quantum chemical calculations are performed on fullerene derivatives with varying reduction potentials, successfully used as electron acceptor in bulk heterojunction solar cells with the aim to investigate the energy levels of the frontier orbitals. We have successfully correlated the theoretical lowest unoccupied molecular orbital (LUMO) levels of different fullerenes with the open circuit voltage of the photovoltaic device based on the polymer–fullerene blend. We have also proposed a new fullerene silirane derivative with a raised LUMO level useful to increase the open circuit voltage of a polymer solar cell. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Experimental observation of quantum confinement in the conduction band of CdSe quantum dots

X-ray absorption spectroscopy has been used to characterize the evolution in the conduction band (CB) density of states of CdSe quantum dots (QDs) as a function of particle size. We have unambiguously witnessed the CdSe QD CB minimum (CBM) shift to higher energy with decreasing particle size, consistent with quantum confinement effects, and have directly compared our results with recent theoretical calculations. At the smallest particle size, evidence for a pinning of the CBM is presented. Our observations can be explained by considering a size-dependent change in the angular-momentum-resolved states at the CBM.     

Electronic transport of graphene nanoribbons within recursive Green’s function

In this work, we introduce a recursive Green’s function method for investigating electronic transport in a graphene nanoribbons (GNRs) quantum wire with armchair (AGNR) and zigzag (ZGNR) edges which attached to two semi-infinite square lattice leads. This model reduces numerical calculations time and enables us to use Green’s function method to investigate transport in a supperlattice device. Therefore, we consider AGNR and ZGNR devices attached to metallic semi-infinite square lattice leads, taking into account the effects of longitudinal and wide of the wire. Our calculations are based on the tight-binding model, which the recursive Green’s function method is used to solve inhomogeneous differential equations. We concentrate on the electrical conductance and current for various length and wide size of the wire. Our numerical results show that the transport properties are strongly affected by the quantum interference effect and the lead interface geometry to the device. By controlling the type of contact and wire geometry, this kind of system can explain the antiresonance states at the Fermi energy. Our results can serve as a base for developments in designing nano-electronic devices.     

A DFT study of carbon nanobuds

In the framework of the density functional theory (DFT) calculations, we present a first time investigation of the properties of four kinds of configurations of carbon nanobuds (CNBs) in which a perfect or defective C60 molecule attaches covalently on the surface of an armchair single-walled carbon nanotube (SWCNT). Chemical shielding (CS) parameters were calculated for the optimized structures. Our results indicate that carbon nanobuds have different values of formation energy, band gap energy, dipole moment, charge transfer and chemical-shielding isotropy (CSI), which result from the many covalent combinations of the fullerenes with the carbon nanotubes. These calculations were carried out using the Gaussian 09 software package.     

Electronic structure model for n- and p-type silicon quantum dots

We present effective mass, single-particle calculations of the electronic structure of n- and p-type silicon quantum dots. The structures investigated approximate silicon quantum dots fabricated on 〈 001〉-oriented SIMOX wafers. The effects of possible built-in strain are investigated in the framework of deformation potential induced splitting of the six degenerate conduction band valleys and the splitting of the degeneracy at the top of the bulk valence band. We present the energy levels and their degeneracies as functions of the dimensions of simple tetragonal model quantum dots. Our results are relevant for silicon quantum dots that are sufficiently small such as to lead to a predominance of the confinement energy over the Coulomb energy.     

Inorganic nanotubes and fullerenes

The possibility of stable non-carbon fullerenes is discussed for the case of phosphorus fullerene-like cage structures. On the basis of Density Functional Tight Binding calculations it is shown that many such cages correspond to metastable structures, but with increasing nuclearity become less stable with respect to separate molecular P₄ units. Stability rules, known for carbon fullerenes, such as the “isolated pentagon rule”, do not reflect the different electronic and steric requirements of the phosphorus atom. The computational results tend to rule out phosphorus fullerenes.     

Large Dynamical Axion Field in Topological Antiferromagnetic Insulator Mn_2Bi_2Te_5

The dynamical axion field is a new state of quantum matter where the magnetoelectric response couples strongly to its low-energy magnetic fluctuations.It is fundamentally different from an axion insulator with a static quantized magnetoelectric response.The dynamical axion field exhibits many exotic phenomena such as axionic polariton and axion instability.However,these effects have not been experimentally confirmed due to the lack of proper topological magnetic materials.Combining analytic models and first-principles calculations,here we predict a series of van der Waals layered Mn_2Bi_2Te_5-related topological antiferromagnetic materials that could host the long-sought dynamical axion field with a topological origin.We also show that a large dynamical axion field can be achieved in antiferromagnetic insulating states close to the topological phase transition.We further propose the optical and transport experiments to detect such a dynamical axion field.Our results could directly aid and facilitate the search for topological-origin large dynamical axion field in realistic materials.     

Thermoelectric current and Coulomb-blockade plateaus in a quantum dot

A Generalized Master Equation (GME) is used to study the thermoelectric currents through a quantum dot in both the transient and steady-state regime. The two semi-infinite leads are kept at the same chemical potential but at different temperatures to produce a thermoelectric current which has a varying sign depending on the chemical potential. The Coulomb interaction between the electrons in the sample is included via the exact diagonalization method. We observe a saw-teeth like profile of the current alternating with plateaus of almost zero current. Our calculations go beyond the linear response with respect to the temperature gradient, but are compatible with known results for the thermopower in the linear response regime.     

Pressure effects on EXAFS Debye-Waller factor and melting curve of solid krypton

The pressure effects on atomic mean-square displacement, extended X-ray absorption fine structure (EXAFS) Debye-Waller factor and melting temperature of solid krypton have been investigated in within the statistical moment method scheme in quantum statistical mechanics. By assuming the interaction between atoms can be described by Buckingham potential, we performed the numerical calculations for krypton up to pressure 120?GPa. Our calculations show that the atomic mean-square displacement and EXAFS Debye-Waller factor of krypton crystal depend strongly on pressure. They make the robust reduction of the EXAFS peak height. Our results are in good and reasonable agreements with available experimental data. This approach gives us a relatively simple method for qualitatively calculating high-pressure thermo-physical properties of materials. Moreover, it can be used to verify future high-pressure experimental and theoretical works.     

Nondissociative adsorption of H2 molecules in light-element-doped fullerenes

First-principles density functional and quantum Monte Carlo calculations of light-element doped fullerenes reveal significantly enhanced molecular H2 binding for substitutional B and Be. A nonclassical three-center binding mechanism between the dopant and H2 is identified, which is maximized when the empty p(z) orbital of the dopant is highly localized. The calculated binding energies of 0.2-0.6 eV/H2 is suited for reversible hydrogen storage at near standard conditions. The calculated H2 sorption process is barrier-less, which could also significantly simplify the kinetics for the storage.     

An implementation of directional antenna by self-biased magnetic photonic crystal

Recent experimental and theoretical works have demonstrated that quantum mechanical effects play an important role in materials design of some novel nano-plasmonic materials. In this work, electronic structure calculations are used to study these effects for the optical properties of metal nanostructures and small flakes of graphene. Their optical response is shown to depend on their exact atomic composition, and their similarities (size-dependent resonance frequency) and differences (metallic vs. semiconducting material) are discussed. The open-source computer code GPAW is used for the simulations, which can be done for systems of thousands of valence electrons. The calculations automatically include quantum effects such as tunneling, nonlocal response, and molecular orbital hybridization.