Nonlinear strain models in the analysis of quantum dot molecules

Melnik, Roderick V. N.; Lassen, Benny; Voon, L. C. Lew Yan; Willatzen, Morten; Galeriu, Călin

doi:10.1016/j.na.2005.02.043

Cited by 3 publications

(2 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar arguments based on the importance of coupled effects are applied to other low-dimensional nanostructures, including those that came to light for sensor applications more recently, e.g., graphene nanoribbons [ 57 , 163 , 164 , 165 , 176 , 177 , 178 , 179 , 180 , 181 ]. It is important to emphasize that some of the developed models have to deal with nonlinearities, including strain nonlinearities and non-trivial situations in constructing multiband Hamiltonians [ 28 , 30 , 156 , 182 , 183 , 184 , 185 , 186 , 187 ], which are essential in the design of sensors based on such low-dimensional nanostructures. At the initial stage of the analysis, first-principles methods can provide good guidance, while subsequent optimization of design characteristics and properties in data-driven environments may require data assimilation technique and machine learning algorithms [ 68 , 69 , 174 ].…”

Section: Mathematical and Computational Models For Smart Materials An...mentioning

confidence: 99%

Coupled Multiphysics Modelling of Sensors for Chemical, Biomedical, and Environmental Applications with Focus on Smart Materials and Low-Dimensional Nanostructures

Singh

Melnik

2022

Chemosensors

View full text Add to dashboard Cite

Low-dimensional nanostructures have many advantages when used in sensors compared to the traditional bulk materials, in particular in their sensitivity and specificity. In such nanostructures, the motion of carriers can be confined from one, two, or all three spatial dimensions, leading to their unique properties. New advancements in nanosensors, based on low-dimensional nanostructures, permit their functioning at scales comparable with biological processes and natural systems, allowing their efficient functionalization with chemical and biological molecules. In this article, we provide details of such sensors, focusing on their several important classes, as well as the issues of their designs based on mathematical and computational models covering a range of scales. Such multiscale models require state-of-the-art techniques for their solutions, and we provide an overview of the associated numerical methodologies and approaches in this context. We emphasize the importance of accounting for coupling between different physical fields such as thermal, electromechanical, and magnetic, as well as of additional nonlinear and nonlocal effects which can be salient features of new applications and sensor designs. Our special attention is given to nanowires and nanotubes which are well suited for nanosensor designs and applications, being able to carry a double functionality, as transducers and the media to transmit the signal. One of the key properties of these nanostructures is an enhancement in sensitivity resulting from their high surface-to-volume ratio, which leads to their geometry-dependant properties. This dependency requires careful consideration at the modelling stage, and we provide further details on this issue. Another important class of sensors analyzed here is pertinent to sensor and actuator technologies based on smart materials. The modelling of such materials in their dynamics-enabled applications represents a significant challenge as we have to deal with strongly nonlinear coupled problems, accounting for dynamic interactions between different physical fields and microstructure evolution. Among other classes, important in novel sensor applications, we have given our special attention to heterostructures and nucleic acid based nanostructures. In terms of the application areas, we have focused on chemical and biomedical fields, as well as on green energy and environmentally-friendly technologies where the efficient designs and opportune deployments of sensors are both urgent and compelling.

show abstract

Section: Mathematical and Computational Models For Smart Materials An...mentioning

confidence: 99%

Coupled Multiphysics Modelling of Sensors for Chemical, Biomedical, and Environmental Applications with Focus on Smart Materials and Low-Dimensional Nanostructures

Singh

Melnik

2022

Chemosensors

View full text Add to dashboard Cite

show abstract

“…These effects may also be coupled with a combination of thermal, mechanical and electromagnetic effects [2,6], making the analysis of band structures of such nanostructures a very challenging task. While many such effects, including piezoelectric, can often be described with linear mathematical models, in some cases we need to deal with complex nonlinear phenomena associated with such couplings where linear models become inadequate [7][8][9]. An example of this is provided by phase transformations and other nonlinear phenomena where a combined influence of stress and temperature may substantially affect band structures and properties of corresponding materials [10,11].…”

Section: Introductionmentioning

confidence: 99%

Higher-order nonlinear electromechanical effects in wurtzite GaN/AlN quantum dots

Bahrami-Samani

Patil

Melnik

2010

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

As we demonstrated earlier, conventional mathematical models based on linear approximations may be inadequate in the analysis of properties of low-dimensional nanostructures and band structure calculations. In this work, a general three-dimensional axisymmetric coupled electromechanical model accounting for lattice mismatch, spontaneous polarization and higher-order nonlinear electrostriction effects has been applied to analyze properties of GaN/AlN quantum dots coupled with wetting layer. The generalized model that accounts for five independent electrostriction coefficients has been solved numerically via a finite-element implementation. The results, exemplified for truncated conical GaN/AlN quantum dots, demonstrate that the effect of nonlinear electrostriction in GaN/AlN nanoheterostructure quantum dots could be significant. In particular, the influence of nonlinear electromechanical effects on optoelectronic properties is highlighted by the results on band structure calculations based on a multiband effective mass theory.

show abstract

Nanoscale Processes, Modeling Coupled and Transport Phenomena in Nanotechnology

Melnik

2009

Encyclopedia of Complexity and Systems Science

View full text Add to dashboard Cite

Nonlinear strain models in the analysis of quantum dot molecules

Cited by 3 publications

References 13 publications

Coupled Multiphysics Modelling of Sensors for Chemical, Biomedical, and Environmental Applications with Focus on Smart Materials and Low-Dimensional Nanostructures

Coupled Multiphysics Modelling of Sensors for Chemical, Biomedical, and Environmental Applications with Focus on Smart Materials and Low-Dimensional Nanostructures

Higher-order nonlinear electromechanical effects in wurtzite GaN/AlN quantum dots

Nanoscale Processes, Modeling Coupled and Transport Phenomena in Nanotechnology

Contact Info

Product

Resources

About