Journal of Physics and Chemistry of Solids, ISSN 0022-3697, 07/2019, Volume 130, pp. 256 - 262

The most robust fractional quantum Hall state in a strongly correlated two-dimensional system of electrons occurs at one-third filling factor of the lowest...

Semiconductors | Electrical properties | Electronic materials | PHASES | PHYSICS, CONDENSED MATTER | ENERGY | GROUND-STATE | ELECTRONS | LIQUID | CHEMISTRY, MULTIDISCIPLINARY

Semiconductors | Electrical properties | Electronic materials | PHASES | PHYSICS, CONDENSED MATTER | ENERGY | GROUND-STATE | ELECTRONS | LIQUID | CHEMISTRY, MULTIDISCIPLINARY

Journal Article

RSC Advances, ISSN 2046-2069, 2019, Volume 9, Issue 14, pp. 7849 - 7853

The anomalous size-dependent increase in capacitance in boron nitride–graphene nanocapacitors is a puzzle that has been initially attributed to the negative...

Journal Article

Physica Scripta, ISSN 0031-8949, 11/2013, Volume 88, Issue 5, pp. 58302 - 20

Systems of confined electrons are found everywhere in nature in the form of atoms where the orbiting electrons are confined by the Coulomb attraction of the...

FAR-INFRARED RESPONSE | MONTE-CARLO | 2-DIMENSIONAL ELECTRONS | INTERACTING ELECTRONS | GROUND-STATE | PHYSICS, MULTIDISCIPLINARY | COULOMB SELF-ENERGY | TRIAL WAVE-FUNCTIONS | UNIFORMLY CHARGED SQUARE | MAGNETIC-FIELD | DENSITY-FUNCTIONAL THEORY | Electrodes | Electronic systems | Semiconductors | Quantum dots | Mathematical models | Confining | Two dimensional | Nuclei

FAR-INFRARED RESPONSE | MONTE-CARLO | 2-DIMENSIONAL ELECTRONS | INTERACTING ELECTRONS | GROUND-STATE | PHYSICS, MULTIDISCIPLINARY | COULOMB SELF-ENERGY | TRIAL WAVE-FUNCTIONS | UNIFORMLY CHARGED SQUARE | MAGNETIC-FIELD | DENSITY-FUNCTIONAL THEORY | Electrodes | Electronic systems | Semiconductors | Quantum dots | Mathematical models | Confining | Two dimensional | Nuclei

Journal Article

Journal of Nanoscience and Nanotechnology, ISSN 1533-4880, 09/2016, Volume 16, Issue 9, pp. 9964 - 9971

We consider a bilayer nanosystem consisting of two parallel charged nano-layers. Such a system represents the typical building block of a multi-layered...

Nanoscience | Nanomaterials | Metallic nano-layers | Nanotechnology | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | TUNNELING CURRENT | ELECTRONS | MATERIALS SCIENCE, MULTIDISCIPLINARY | NANOSCIENCE & NANOTECHNOLOGY | ARTIFICIAL ATOMS | CHEMISTRY, MULTIDISCIPLINARY | Metallic Nano-Layers | ARRAYS | SPECTROSCOPY | PARABOLIC QUANTUM DOTS | DEVICES | Thin films | Separation | Approximation | Transformations (mathematics) | Mathematical analysis | Constants | Mathematical models | Nanostructure

Nanoscience | Nanomaterials | Metallic nano-layers | Nanotechnology | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | TUNNELING CURRENT | ELECTRONS | MATERIALS SCIENCE, MULTIDISCIPLINARY | NANOSCIENCE & NANOTECHNOLOGY | ARTIFICIAL ATOMS | CHEMISTRY, MULTIDISCIPLINARY | Metallic Nano-Layers | ARRAYS | SPECTROSCOPY | PARABOLIC QUANTUM DOTS | DEVICES | Thin films | Separation | Approximation | Transformations (mathematics) | Mathematical analysis | Constants | Mathematical models | Nanostructure

Journal Article

RSC ADVANCES, ISSN 2046-2069, 03/2019, Volume 9, Issue 14, pp. 7849 - 7853

The anomalous size-dependent increase in capacitance in boron nitride-graphene nanocapacitors is a puzzle that has been initially attributed to the negative...

CHEMISTRY, MULTIDISCIPLINARY | ENERGY | Boron nitride | Capacitance | Boron | Graphene | Permittivity | Silicones

CHEMISTRY, MULTIDISCIPLINARY | ENERGY | Boron nitride | Capacitance | Boron | Graphene | Permittivity | Silicones

Journal Article

Physica B: Condensed Matter, ISSN 0921-4526, 02/2015, Volume 458, pp. 92 - 97

We adopt a Hartree-Fock approach and calculate the energy of a finite two-dimensional electron gas system confined to a region that is treated as a positive...

Semiconductor quantumdot | Hartree-Fockmethod | Two-dimensional electrongas | MONTE-CARLO | DIMENSIONS | PHYSICS, CONDENSED MATTER | Semiconductor quantum dot | QUANTUM-DOT | Hartree-Fock method | UNIFORMLY CHARGED SQUARE | Two-dimensional electron gas | SPECTRA | Force and energy | Potential energy | Coulomb potential | Approximation | Condensed matter | Mathematical analysis | Two dimensional | Jellium | Electron gas

Semiconductor quantumdot | Hartree-Fockmethod | Two-dimensional electrongas | MONTE-CARLO | DIMENSIONS | PHYSICS, CONDENSED MATTER | Semiconductor quantum dot | QUANTUM-DOT | Hartree-Fock method | UNIFORMLY CHARGED SQUARE | Two-dimensional electron gas | SPECTRA | Force and energy | Potential energy | Coulomb potential | Approximation | Condensed matter | Mathematical analysis | Two dimensional | Jellium | Electron gas

Journal Article

Journal of Low Temperature Physics, ISSN 0022-2291, 5/2016, Volume 183, Issue 3, pp. 85 - 91

Strongly correlated two-dimensional electron systems in a high perpendicular magnetic field have displayed remarkable new physics leading to the discovery of...

Condensed Matter Physics | Strongly correlated electronic system | Lowest Landau level | Two-dimensional electronic system | Quantum Hall effect(s) | Characterization and Evaluation of Materials | Physics | Magnetism, Magnetic Materials | MONTE-CARLO | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | ELECTRONS | FERMION WAVE-FUNCTION | SYSTEMS | Monte Carlo method | Magnetic fields | Anisotropy | Analysis | Liquids | Phases | Computer simulation | Electronics | Mathematical models | Wave functions | Invariance | Liquid-solid transition

Condensed Matter Physics | Strongly correlated electronic system | Lowest Landau level | Two-dimensional electronic system | Quantum Hall effect(s) | Characterization and Evaluation of Materials | Physics | Magnetism, Magnetic Materials | MONTE-CARLO | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | ELECTRONS | FERMION WAVE-FUNCTION | SYSTEMS | Monte Carlo method | Magnetic fields | Anisotropy | Analysis | Liquids | Phases | Computer simulation | Electronics | Mathematical models | Wave functions | Invariance | Liquid-solid transition

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 12/2011, Volume 52, Issue 12, pp. 122105 - 122105-14

We obtain exact analytical expressions for the total energy per particle and related quantities corresponding to a finite quantum Hall system of electrons in a...

PHYSICS, MATHEMATICAL | DOTS | STRONG MAGNETIC-FIELD

PHYSICS, MATHEMATICAL | DOTS | STRONG MAGNETIC-FIELD

Journal Article

Journal of Physics and Chemistry of Solids, ISSN 0022-3697, 08/2014, Volume 75, Issue 8, pp. 931 - 935

Rapidly rotating two-dimensional ultracold Bose–Einstein condensates of spinless bosons in a harmonic trap have attracted considerable interest during the...

D. Phase transitions | A. Electronic materials | A. Nanostructures | LUTTINGER LIQUID | PHYSICS, CONDENSED MATTER | EXCITATIONS | BOSE-EINSTEIN CONDENSATE | Nanostructures | Phase transitions | CHEMISTRY, MULTIDISCIPLINARY | MONTE-CARLO | Electronic materials | QUANTUM HALL STATES | WAVE-FUNCTION | REGIME | GAS | SYSTEMS | EDGE STATES | Harmonics | Mathematical analysis | Bose-Einstein condensates | Transformations | Quantum Hall effect | Wave functions | Two dimensional | Bosons

D. Phase transitions | A. Electronic materials | A. Nanostructures | LUTTINGER LIQUID | PHYSICS, CONDENSED MATTER | EXCITATIONS | BOSE-EINSTEIN CONDENSATE | Nanostructures | Phase transitions | CHEMISTRY, MULTIDISCIPLINARY | MONTE-CARLO | Electronic materials | QUANTUM HALL STATES | WAVE-FUNCTION | REGIME | GAS | SYSTEMS | EDGE STATES | Harmonics | Mathematical analysis | Bose-Einstein condensates | Transformations | Quantum Hall effect | Wave functions | Two dimensional | Bosons

Journal Article

10.
Full Text
Concise presentation of the Coulomb electrostatic potential of a uniformly charged cube

Journal of Electrostatics, ISSN 0304-3886, 08/2015, Volume 76, pp. 127 - 137

We use a novel method to calculate in closed form the Coulomb electrostatic potential created by a uniformly charged cube at an arbitrary point in space. We...

Electrostatic potential | Coulomb interaction | Uniformly charged cube | DIMENSIONS | SQUARE | PLANE | SELF-ENERGY | QUANTUM DOTS | ENGINEERING, ELECTRICAL & ELECTRONIC | Charging | Coulomb friction | Integrals | Mathematical analysis | Exact solutions | Cubes | Electrostatics | Symmetry

Electrostatic potential | Coulomb interaction | Uniformly charged cube | DIMENSIONS | SQUARE | PLANE | SELF-ENERGY | QUANTUM DOTS | ENGINEERING, ELECTRICAL & ELECTRONIC | Charging | Coulomb friction | Integrals | Mathematical analysis | Exact solutions | Cubes | Electrostatics | Symmetry

Journal Article

Journal of Electrostatics, ISSN 0304-3886, 04/2013, Volume 71, Issue 2, pp. 102 - 108

We calculate exactly the Coulomb electrostatic potential created by a uniformly charged square on its plane. The chosen solution method leads to certain types...

Electrostatic potential | Coulomb interaction | Electromagnetism | MONTE-CARLO | ENERGY | GROUND-STATE | PARABOLIC QUANTUM DOTS | GAS | ENGINEERING, ELECTRICAL & ELECTRONIC | Functions (mathematics) | Charging | Coulomb friction | Planes | Integrals | Mathematical analysis | Exact solutions | Electrostatics

Electrostatic potential | Coulomb interaction | Electromagnetism | MONTE-CARLO | ENERGY | GROUND-STATE | PARABOLIC QUANTUM DOTS | GAS | ENGINEERING, ELECTRICAL & ELECTRONIC | Functions (mathematics) | Charging | Coulomb friction | Planes | Integrals | Mathematical analysis | Exact solutions | Electrostatics

Journal Article

Physica B: Physics of Condensed Matter, ISSN 0921-4526, 07/2012, Volume 407, Issue 14, pp. 2803 - 2807

We calculate exactly the Coulomb self-energy of a uniformly charged three-dimensional cylinder. We derive a general analytical formula which, in the limit of...

Jellium model | Quantum Hall effects | Coulomb self-energy | MONTE-CARLO | PHYSICS, CONDENSED MATTER | CLUSTERS | ELECTRONS | DNA | TRIAL WAVE-FUNCTIONS | SYSTEMS | Charging | Coulomb friction | Mathematical analysis | Mathematical models | Charged particles | Two dimensional | Cylinders | Three dimensional

Jellium model | Quantum Hall effects | Coulomb self-energy | MONTE-CARLO | PHYSICS, CONDENSED MATTER | CLUSTERS | ELECTRONS | DNA | TRIAL WAVE-FUNCTIONS | SYSTEMS | Charging | Coulomb friction | Mathematical analysis | Mathematical models | Charged particles | Two dimensional | Cylinders | Three dimensional

Journal Article

International Journal of Nonlinear Sciences and Numerical Simulation, ISSN 1565-1339, 06/2018, Volume 19, Issue 3, pp. 1 - 6

We study an integral expression that is encountered in some classical spin models of magnetism. The idea is to calculate the key integral that represents the...

Function Theory and Analysis | 01.55.+b | General Physics | numbers | 02.30.-f | Theory and Modeling | 73.43.Cd | SPIN-CORRELATION-FUNCTIONS | MATHEMATICS, APPLIED | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CLUSTERS | STATE | PHYSICS, MATHEMATICAL | HEISENBERG-MODEL | Numerical integration | Computer simulation | Integral equations | Partitions (mathematics) | Magnetism | Mathematical models | Bessel functions | Monte Carlo simulation

Function Theory and Analysis | 01.55.+b | General Physics | numbers | 02.30.-f | Theory and Modeling | 73.43.Cd | SPIN-CORRELATION-FUNCTIONS | MATHEMATICS, APPLIED | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CLUSTERS | STATE | PHYSICS, MATHEMATICAL | HEISENBERG-MODEL | Numerical integration | Computer simulation | Integral equations | Partitions (mathematics) | Magnetism | Mathematical models | Bessel functions | Monte Carlo simulation

Journal Article

Physics Letters, Section A: General, Atomic and Solid State Physics, ISSN 0375-9601, 01/2011, Volume 375, Issue 3, pp. 766 - 767

In a previous work [O. Ciftja, Phys. Lett. A 374 (2010) 981] we reported the exact calculation of the Coulomb self-energy of a uniformly charged...

PHYSICS, MULTIDISCIPLINARY

PHYSICS, MULTIDISCIPLINARY

Journal Article

Physica B: Physics of Condensed Matter, ISSN 0921-4526, 2009, Volume 404, Issue 12, pp. 1629 - 1631

Quantum dots are intricate and fascinating systems to study novel phenomena of great theoretical and practical interest because low dimensionality coupled with...

Parabolic confinement | Semiconductor quantum dots | PHYSICS, CONDENSED MATTER | MAGNETIC-FIELD | Magnetic fields | Analysis

Parabolic confinement | Semiconductor quantum dots | PHYSICS, CONDENSED MATTER | MAGNETIC-FIELD | Magnetic fields | Analysis

Journal Article

Physica B: Physics of Condensed Matter, ISSN 0921-4526, 2009, Volume 404, Issue 16, pp. 2244 - 2246

In a previous work [O. Ciftja, Physica B 404 (2009) 227] we reported the exact calculation of energies for the fractional quantum Hall Laughlin state at...

Quantum Hall effects | Laughlin states | Landau levels | PHYSICS, CONDENSED MATTER

Quantum Hall effects | Laughlin states | Landau levels | PHYSICS, CONDENSED MATTER

Journal Article

Physica B: Physics of Condensed Matter, ISSN 0921-4526, 2009, Volume 404, Issue 2, pp. 227 - 230

There has been a great deal of interest over the last two decades on the fractional quantum Hall effect, a novel quantum many-body liquid state of strongly...

Quantum Hall effects | Laughlin states | Landau levels | MONTE-CARLO | PHYSICS, CONDENSED MATTER | EXCITATIONS | STATE

Quantum Hall effects | Laughlin states | Landau levels | MONTE-CARLO | PHYSICS, CONDENSED MATTER | EXCITATIONS | STATE

Journal Article

Results in Physics, ISSN 2211-3797, 12/2019, Volume 15, p. 102684

•Electrostatic interaction energy of two coaxial parallel uniformly charged disks.•Exact analytic expression in terms of complete elliptic integrals of the...

MONTE-CARLO | DENSITY | SQUARE | PHYSICS, MULTIDISCIPLINARY | COULOMB SELF-ENERGY | MATERIALS SCIENCE, MULTIDISCIPLINARY | PLATE CAPACITOR | TRIAL WAVE-FUNCTIONS

MONTE-CARLO | DENSITY | SQUARE | PHYSICS, MULTIDISCIPLINARY | COULOMB SELF-ENERGY | MATERIALS SCIENCE, MULTIDISCIPLINARY | PLATE CAPACITOR | TRIAL WAVE-FUNCTIONS

Journal Article

19.
Full Text
Equivalence of an infinite one-dimensional ionic crystal to a simple electrostatic model

Results in Physics, ISSN 2211-3797, 06/2019, Volume 13, p. 102325

It is observed that the electrostatic potential created by the ions of an infinite one-dimensional ionic crystal at the position of a reference ion (for...

Ionic crystal | Theory and modeling | ENERGY | PHYSICS, MULTIDISCIPLINARY | MATERIALS SCIENCE, MULTIDISCIPLINARY

Ionic crystal | Theory and modeling | ENERGY | PHYSICS, MULTIDISCIPLINARY | MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal Article

EPL (Europhysics Letters), ISSN 0295-5075, 05/2006, Volume 74, Issue 3, pp. 486 - 492

Strongly correlated two-dimensional electronic systems subject to a perpendicular magnetic field at lowest Landau level (LLL) filling factors: 1/2, 1/4 and...

CRYSTALLIZATION | HYPERNETTED-CHAIN | PHYSICS, MULTIDISCIPLINARY | INCOMPRESSIBLE QUANTUM-FLUID | LIQUID | 2-DIMENSIONAL ELECTRON-GAS | STATE | SYSTEMS | FILLED LANDAU-LEVEL | MAGNETIC-FIELD | HIERARCHY

CRYSTALLIZATION | HYPERNETTED-CHAIN | PHYSICS, MULTIDISCIPLINARY | INCOMPRESSIBLE QUANTUM-FLUID | LIQUID | 2-DIMENSIONAL ELECTRON-GAS | STATE | SYSTEMS | FILLED LANDAU-LEVEL | MAGNETIC-FIELD | HIERARCHY

Journal Article

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