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Title: Properties of a finite fully spin-polarized free homogeneous one-dimensional electron gas

Abstract

The homogeneous electron gas model has been quite successful to predict the bulk properties of systems of electrons at various densities. In many occasions, a simplified free homogeneous electron gas model represents a powerful first approximation to a real system. Despite our considerable knowledge on the bulk properties of a homogeneous electron gas, advances in nanoscience and nanotechnology call for a greater effort to understand the opposite limit of small finite systems of electrons with size-dependent properties. In this work, we provide a detailed description of the properties of a finite fully spin-polarized (spinless) free homogeneous one-dimensional electron gas, the simplest of the free homogeneous electron gases. We derive exact analytical results for various quantities such as the one-particle density function, two-particle density function, one-particle density matrix, pair correlation function and energy of finite systems with an arbitrary number of electrons. The results obtained provide a detailed view on how various quantities corresponding to a finite system approach their bulk (thermodynamic limit) value.

Authors:
 [1]
  1. Department of Physics, Prairie View A and M University, Prairie View, Texas 77446 (United States)
Publication Date:
OSTI Identifier:
22454438
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Advances; Journal Volume: 5; Journal Issue: 1; Other Information: (c) 2015 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 77 NANOSCIENCE AND NANOTECHNOLOGY; DENSITY; DENSITY MATRIX; ELECTRON GAS; ELECTRONS; NANOSTRUCTURES; NANOTECHNOLOGY; PARTICLES; SPIN ORIENTATION

Citation Formats

Ciftja, Orion. Properties of a finite fully spin-polarized free homogeneous one-dimensional electron gas. United States: N. p., 2015. Web. doi:10.1063/1.4907104.
Ciftja, Orion. Properties of a finite fully spin-polarized free homogeneous one-dimensional electron gas. United States. doi:10.1063/1.4907104.
Ciftja, Orion. Thu . "Properties of a finite fully spin-polarized free homogeneous one-dimensional electron gas". United States. doi:10.1063/1.4907104.
@article{osti_22454438,
title = {Properties of a finite fully spin-polarized free homogeneous one-dimensional electron gas},
author = {Ciftja, Orion},
abstractNote = {The homogeneous electron gas model has been quite successful to predict the bulk properties of systems of electrons at various densities. In many occasions, a simplified free homogeneous electron gas model represents a powerful first approximation to a real system. Despite our considerable knowledge on the bulk properties of a homogeneous electron gas, advances in nanoscience and nanotechnology call for a greater effort to understand the opposite limit of small finite systems of electrons with size-dependent properties. In this work, we provide a detailed description of the properties of a finite fully spin-polarized (spinless) free homogeneous one-dimensional electron gas, the simplest of the free homogeneous electron gases. We derive exact analytical results for various quantities such as the one-particle density function, two-particle density function, one-particle density matrix, pair correlation function and energy of finite systems with an arbitrary number of electrons. The results obtained provide a detailed view on how various quantities corresponding to a finite system approach their bulk (thermodynamic limit) value.},
doi = {10.1063/1.4907104},
journal = {AIP Advances},
number = 1,
volume = 5,
place = {United States},
year = {Thu Jan 15 00:00:00 EST 2015},
month = {Thu Jan 15 00:00:00 EST 2015}
}