Fundamental and Applied Aspects of the Physics in Low-Dimensional Systems

A special issue of Nanomaterials (ISSN 2079-4991). This special issue belongs to the section "Theory and Simulation of Nanostructures".

Deadline for manuscript submissions: 10 June 2024 | Viewed by 3461

Special Issue Editor


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Guest Editor
Department of Physics, Prairie View A&M University, Prairie View, TX 77446, USA
Interests: strongly correlated electron systems; low-dimensional systems; two-dimensional electron gas; integer quantum hall effect; fractional quantum hall effect; nanoscale semiconductor quantum dots; nanoscale molecular magnetism; Monte Carlo simulations
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Special Issue Information

Dear Colleagues,

Low-dimensional systems exhibit unique properties that have attracted considerable attention during recent decades. Notably, low-dimensional systems and devices are already featuring in many emerging technologies and advanced applications. We invite authors to contribute original research articles on the fundamental and applied aspects of the physics of low-dimensional systems, two-dimensional electron systems, the quantum Hall effect, quantum dots, quantum wires, graphene, thin films, novel nanoscale devices, etc. Both theoretical and experimental contributions are invited. The aim of the Issue is to provide an overview of the current research of the fundamental and applied aspects of low-dimensional systems that show a large variety of scientifically fascinating and technologically important phenomena. Potential topics include but are not limited to:

  • Two-dimensional electron gas and topological insulators;
  • Integer and fractional quantum Hall effects;
  • Spin–orbit interaction and spin-related phenomena;
  • Quantum dots, wires, and mesoscopic systems;
  • Nanostructures (graphene, carbon nanotubes, etc.);
  • Thin film materials;
  • Characterizations of nanomaterials, including theoretical and numerical methods;
  • New frontiers in low-dimensional systems.

Prof. Dr. Orion Ciftja
Guest Editor

Manuscript Submission Information

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Keywords

  • low-dimensional systems
  • two-dimensional electron gas
  • integer and fractional quantum Hall effects
  • topological insulators
  • spintronic applications
  • quantum dots
  • mesoscopic systems
  • graphene
  • thin films
  • nanostructures

Published Papers (5 papers)

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Research

15 pages, 4394 KiB  
Article
Physical Mechanism of Nanocrystalline Composite Deformation Responsible for Fracture Plastic Nature at Cryogenic Temperatures
by Jianyong Qiao, Ivan Vladimirovich Ushakov, Ivan Sergeevich Safronov, Ayur Dasheevich Oshorov, Zhiqiang Wang, Olga Vitalievna Andrukhova and Olga Vladimirovna Rychkova
Nanomaterials 2024, 14(8), 723; https://0-doi-org.brum.beds.ac.uk/10.3390/nano14080723 - 20 Apr 2024
Viewed by 248
Abstract
In this work, we consider the physical basis of deformation and fracture in layered composite nanocrystalline/amorphous material–low-melting crystalline alloy in a wide temperature range. Deformation and fracture at the crack tip on the boundary of such materials as nanocrystalline alloy of the trademark [...] Read more.
In this work, we consider the physical basis of deformation and fracture in layered composite nanocrystalline/amorphous material–low-melting crystalline alloy in a wide temperature range. Deformation and fracture at the crack tip on the boundary of such materials as nanocrystalline alloy of the trademark 5BDSR, amorphous alloy of the trademark 82K3XSR and low-melting crystalline alloy were experimentally investigated. The crack was initiated by uniaxial stretching in a temperature range of 77–293 K. A theoretical description of the processes of deformation and fracture at the crack tip is proposed, with the assumption that these processes lead to local heating and ensure the plastic character of crack growth at liquid nitrogen temperatures. The obtained results improve the theoretical understanding of the physics of fracture at the boundary of nanocrystalline and crystalline alloys in a wide temperature range. The possibility of preserving the plastic nature of fracture in a thin boundary layer of crystalline–nanocrystalline material at cryogenic temperatures has been experimentally shown. Full article
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63 pages, 5872 KiB  
Article
Toward a New Theory of the Fractional Quantum Hall Effect
by Sergey A. Mikhailov
Nanomaterials 2024, 14(3), 297; https://0-doi-org.brum.beds.ac.uk/10.3390/nano14030297 - 31 Jan 2024
Viewed by 785
Abstract
The fractional quantum Hall effect was experimentally discovered in 1982. It was observed that the Hall conductivity σyx of a two-dimensional electron system is quantized, σyx=e2/3h, in the vicinity of the Landau [...] Read more.
The fractional quantum Hall effect was experimentally discovered in 1982. It was observed that the Hall conductivity σyx of a two-dimensional electron system is quantized, σyx=e2/3h, in the vicinity of the Landau level filling factor ν=1/3. In 1983, Laughlin proposed a trial many-body wave function, which he claimed described a “new state of matter”—a homogeneous incompressible liquid with fractionally charged quasiparticles. Here, I develop an exact diagonalization theory that allows one to calculate the energy and other physical properties of the ground and excited states of a system of N two-dimensional Coulomb interacting electrons in a strong magnetic field. I analyze the energies, electron densities, and other physical properties of the systems with N7 electrons continuously as a function of magnetic field in the range 1/4ν<1. The results show that both the ground and excited states of the system resemble a sliding Wigner crystal whose parameters are influenced by the magnetic field. Energy gaps in the many-particle spectra appear and disappear as the magnetic field changes. I also calculate the physical properties of the ν=1/3 Laughlin state for N8 and compare the results with the exact ones. This comparison, as well as an analysis of some other statements published in the literature, show that the Laughlin state and its fractionally charged excitations do not describe the physical reality, neither at small N nor in the thermodynamic limit. The results obtained shed new light on the nature of the ground and excited states in the fractional quantum Hall effect. Full article
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9 pages, 1928 KiB  
Article
Accurate Quantum States for a 2D-Dipole
by Daniel Vrinceanu
Nanomaterials 2024, 14(2), 206; https://0-doi-org.brum.beds.ac.uk/10.3390/nano14020206 - 17 Jan 2024
Viewed by 642
Abstract
Edge dislocations are crucial in understanding both mechanical and electrical transport in solid and are modeled as line distributions of dipole moments. The calculation of the electronic spectrum for the two dimensional dipole, represented by the potential energy [...] Read more.
Edge dislocations are crucial in understanding both mechanical and electrical transport in solid and are modeled as line distributions of dipole moments. The calculation of the electronic spectrum for the two dimensional dipole, represented by the potential energy V(r,θ)=pcosθ/r, has been the topic of several studies that show significant difficulties in obtaining accurate results. In this work, we demonstrate that the source of these difficulties is a logarithmic contribution to the behavior of the wave function at the origin that was neglected by previous authors. By taking into account this non-analytic deviation of the solution of Schrödinger’s equation, superior results, with the expected rate of convergence, are obtained. This goal is accomplished by “adapting” general algorithms for solving partial derivative differential equations to include the desired asymptotic behavior. We illustrate this principle for the variational principle and finite difference methods. Accurate energies and wave functions are obtained not only for the ground state but also for the first eleven excited states and are useful for designing nanoelectronic devices. This paper demonstrates that augmentary knowledge about analytic properties of the solutions leads to the improved convergence and stability of numerical methods. Full article
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14 pages, 11241 KiB  
Article
Physical Mechanism of Selective Healing of Nanopores in Condensed Matter under the Influence of Laser Irradiation and Plasma
by Zhiqiang Wang, Ivan Vladimirovich Ushakov, Ivan Sergeevich Safronov and Jianping Zuo
Nanomaterials 2024, 14(2), 139; https://0-doi-org.brum.beds.ac.uk/10.3390/nano14020139 - 08 Jan 2024
Viewed by 766
Abstract
The investigation of the features of laser control over the state of nanoscale objects in solid materials is an urgent task of condensed matter physics. We experimentally established the potential for the simultaneous enhancement of hardness and resistance to surface cracking in a [...] Read more.
The investigation of the features of laser control over the state of nanoscale objects in solid materials is an urgent task of condensed matter physics. We experimentally established the potential for the simultaneous enhancement of hardness and resistance to surface cracking in a titanium alloy due to selective laser irradiation. The regularities of selective heating near nanopores and the influence of the nanopore system on the features of isotherm propagation have been revealed. A physical model is proposed for the healing of nanopores situated in the surface layer of the sample. According to this model and as a result of laser irradiation and laser plasma, a brief transition of the material surface to extreme conditions is initiated. Full article
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15 pages, 379 KiB  
Article
Interaction Potential between a Uniformly Charged Square Nanoplate and Coplanar Nanowire
by Orion Ciftja
Nanomaterials 2023, 13(23), 2988; https://0-doi-org.brum.beds.ac.uk/10.3390/nano13232988 - 21 Nov 2023
Cited by 1 | Viewed by 583
Abstract
We study a structure consisting of two electrostatically interacting objects, a uniformly charged square nanoplate and a uniformly charged nanowire. A straightforward motivation behind this work is to introduce a model that allows a classical description of a finite two-dimensional quantum Hall system [...] Read more.
We study a structure consisting of two electrostatically interacting objects, a uniformly charged square nanoplate and a uniformly charged nanowire. A straightforward motivation behind this work is to introduce a model that allows a classical description of a finite two-dimensional quantum Hall system of few electrons when the Landau gauge is imposed. In this scenario, the uniformly charged square nanoplate would stand for the neutralizing background of the system while a uniformly charged nanowire would represent the resulting quantum striped state of the electrons. A second important feature of this model is that it also applies to hybrid charged nanoplate-nanowire systems in which the dominant interaction has electrostatic origin. An exact analytical expression for the electrostatic interaction potential between the uniformly charged square nanoplate and coplanar nanowire is obtained by using a special mathematical method adept for this geometry. It is found that the resulting interaction potential is finite, monotonic and slowly-varying for all locations of the nanowire inside the nanoplate. Full article
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