Excitons in Low-Dimensional Semiconductors: Theory Numerical Methods Applications

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Buy eBook. Buy Hardcover. Buy Softcover. FAQ Policy. About this book Low-dimensional semiconductors have become a vital part of today's semiconductor physics, and excitons in these systems are ideal objects that bring textbook quantum mechanics to life. Show all. The conditions for separation of between different particles in a polydisperse mixture will be investigated. The flow of particles in a monodisperse system in a pinning lattice will also be investigated.

Erich Runge, Forschung

Ab initio calculations of semiconductor nanowires. This approach allows us to study, on an atomic scale, the structure and electronic properties of these semiconducting nanocrystals. Graphene: Modeling of transport. UA provides the private institution research results mentioned in the title of the project under the conditions as stipulated in this contract. Center of excellence NANO. The major industrialized countries are comprehensively intensifying their research in material sciences with a focus on nanotechnology. Quantum-mechanical principles in nano-structured materials respresent one of the most exciting fields of modern physics.

Nano-structured superconductors NSSC play a special role due tot the macroscopic quantum state of the superconducting charge carriers and the appearance of quantized flux lines vortices , which develop in the presence of a magnetic field. The proposed research is devoted to the in-depth study of the nonlineair dynamics of flux qaunta in NSSC and includes several related and interdisciplinary topics.

Main targets are: -Implementation of new approaches to study the nonlineair dynamics of flux quanta in NSSC. Creation of new efficient ways to control the flux motion and critical parameters of NSSC.

Research group

Elaboration of a proposal for their dynamical experimental verification. Polydispersivity and anisotropy in static and driven quasi-one and two dimensional systems. Study of crystallization, glass formation and melting.

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Investigation of the transition from ID to 2D. Study of the linear and nonlinear dynamics of such systems when driven by an external force. Linear: normal modes i. Non-linear: motion in the presence of obstacles or through constrictions. We will address issues such as pinning, depinning and jamming of the strongly correlated polydispersive system.


  1. Numerical solution of a diffusion problem by exponentially fitted finite difference methods.
  2. Theory Numerical Methods Applications!
  3. Introduction.

Nano-scale and low-dimensional correlated systems. Teams of complementary expertise in computational techniques and a common interest in multidisciplinary subjects are brought together. Static and dynamic vortex matter in nanostructured type-I and type-II superconductors. Quantum effects in clusters and nanowires. Structural and electronic properties of biologically modified graphene-based layers. The results of these investigations will be applied to develop a sensitive electronic monitoring of specific biological processes in a liquid environment, including the denaturation and rehybridization of DNA molecules, and the sensing of immunoglobulin and immunoglobulin-antigen binding.

Hybrid nanostructured superconductors. The approach will be based on a self-consistent solution of the Ginzburg-Landau equations through the method of simulated annealing. Structural and dynamical properties of fullerene hybrid systems: molecules in carbon nanotubes, cubane-fullerene mixed crystals, dynamics of a fullerene quantum gyroscope.

Solid State Theory Methods Applications

Modelling of nanostructures and classical clusters. Ab initio calculations of semiconductor nanocrystals: wires and clusters. Study of the exciton properties. Nanoscale condensate and flux confinement in superconductors. High-precision reliable floating-point arithmetic and nanotechnology. For most scientific applications, this is more than sufficient. However, for a rapidly expanding body of applications, bit IEEE arithmetic is no longer sufficient.

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These range from some interesting new mathematical investigations to large-scale physical simulations performed on highly parallel supercomputers. Moreover in these applications, portions of the code typically involve numerically sensitive calculations, which produce results of questionable accuracy using conventional arithmetic [3]. These inaccurate results may in turn induce other errors, such as taking the wrong path in a conditional branch. Such blocks of code benefit enormously from a combination of reliable numeric techniques and the use of high-precision arithmetic. Indeed, the aim of reliable numeric techniques is to deliver, together with the computed result, a guaranteed upper bound on the total error or, equivalently, to compute an enclosure for the exact result.

It is perhaps not a coincidence that interest in high-precision computations has arisen in the same period that many scientific computations are implemented on highly parallel and distributed, often heterogeneous, computer systems. Such systems have made possible much larger-scale runs than before, greatly magnifying numerical difficulties. Switching from hardware to high-precision arithmetic to tackle these difficulties, has benefits in its own right.

Since high-precision arithmetic is implemented in software, the result is independent of the specific hardware in the heterogeneous system on which it is computed. In [3] the successful solution of several problems in scientific computing using high-precision arithmetic is described. It is worth noting that all of these successful applications of high-precision arithmetic have arisen in the past ten years.

This may be indicative of the birth of a new era of scientific computing, in which the numerical precision required for a computation is as important to the program design as are the algorithms and data structures. Aim of the project It is the aim of the project team to contribute to the solution of a number of open problems in computational physics, in particular nanotechnology, which require the use of high-precision and reliable computations.

The nanoscopic domain is a scale of length situated between the microscopic atom and molecular scale and the macroscopic scale. Characteristic for nanotechnology research is that a finite number on the order of 10 to of particles e.

Excitons in Low-Dimensional Semiconductors

The large number of particles implies that it is practically impossible to obtain analytic results and that one needs to focus on computational methods. As will become clear from the project description, the key to the solution of the open problems in nanotechnology is the high-precision, reliable evaluation of certain special functions.

Understanding materials at the sub nano level scale. Strongly Coulomb coupled particle transport in plasmas and on solid substrates. In the proposed project we will concentrate on: 1 strongly Coulomb correlations of dusty particles in a plasma environment, and 2 the deposition of such dusty particles on solid substrates. Calculations of strain in materials under stress using the finite element method.

In this project, we wish to calculate the strain in self-organised quantum dots with complex geometries and compositions using the elasticity theory, as used by engineers. The calculations will be done using the finite element method which is the popular method for engineers. The results will be used as input for electronic structure calculations for self-organised quantum dots.

Controlling the critical parameters in superconductors : nanograins, clusters and pinning arrays.

Designing specific material properties through the application of quantum mechanical principles is "quantum design" - a key idea in nanoscience. Superconductors, with their inherent quantum coherence over even macroscopie scale are in that respect superior to semiconductors, magnetic or normal metallic nanomaterials, where quantum coherence is much more difficult to achieve.

In that respect nanostructured superconductors is the best choice for the demonstration of applicability of quantum design to tailor specific properties of materials at nanoscale. The two key properties: the absence of resistance to the dc current flow and quantum coherence of the condensate make superconductors extremely promising materials for nano-technologies and for various applications in micro- and nano-electronics, electrotechnics and as ultra-sensitive field, current and voltage sensors.

Due to an intrinsic coherence of the condensate, superconducting eIements are primary candidates for developing physical realizations of the qubits for quantum computing. The possibiIities of the practical applications of superconducting materials, however, are limited by their critical parameters: temperature, field, and current.

Remarkably, superconductors are materials where an artificial nanoscale modulation cao drasticalIy improve their critical parameters. In this project, we wilI study the size dependence of the superconducting properties and the critical parameters and we wilI investigate the electron pairing correlations at the nanometer scale.

Properties of dilute magnetic semiconductor quantum dots. A small number of Mn ions is placed in a quantum dot. The electronic properties will depend on the interaction with the magnetic ions, but also on the position of the ions in the system. A theoretical study on the magnetic and optical properties of such a new type of nanostructure will be performed. Theoretical study of two- and three-dimensional mesoscopic superconducting structures. Theory and modeling for nano-technology.

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