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Introduction

Victor M. Ustinov, Alexey E. Zhukov, Anton Yu. Egorov, and Nikolai A. Maleev

in Quantum Dot Lasers

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198526797
eISBN:
9780191712081
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526797.003.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

This introductory chapter considers the basic principles of operation of diode lasers. The condition of inverse population in semiconductors is derived from Fermi statistics. Light confinement in a ... More


12 Electronic structure and luminescence of low-dimensional semiconductors

Ivan Pelant and Jan Valenta

in Luminescence Spectroscopy of Semiconductors

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199588336
eISBN:
9780191738548
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199588336.003.0012
Subject:
Physics, Atomic, Laser, and Optical Physics

Unlike all of the previous chapters, this one is devoted to low-dimensional semiconductor structures (quantum wells, quantum wires and quantum dots-nanocrystals). Basic classification of these ... More


EFFECT OF THE COULOMB INTERACTION ON THE ELECTRON ENERGY SPECTRUM

V.F. Gantmakher

in Electrons and Disorder in Solids

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567561
eISBN:
9780191718267
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567561.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

Different examples of self-action of the electron gas onto its own energy spectrum are considered. In a regular structure, it is the Peierls transition when a minigap in the spectrum appears to ... More


Band structure

Thomas Ihn

in Semiconductor Nanostructures: Quantum states and electronic transport

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199534425
eISBN:
9780191715297
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534425.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter reviews the elements of band structure calculations, and introduces Bloch's theorem and the first Brillouin zone. It discusses various techniques for performing bandstructure ... More


MICROSCOPIC THEORY OF FLUCTUATION CONDUCTIVITY

Anatoly Larkin and Andrei Varlamov

in Theory of Fluctuations in Superconductors

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528159
eISBN:
9780191713521
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528159.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents a microscopic analysis of the different fluctuation contributions to the conductivity tensor. The physical origin and a qualitative evaluation of Aslamazov-Larkin, ... More


DOS AND TUNNELING

Anatoly Larkin and Andrei Varlamov

in Theory of Fluctuations in Superconductors

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528159
eISBN:
9780191713521
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528159.003.0009
Subject:
Physics, Condensed Matter Physics / Materials

The chapter starts with a discussion of the density of states renormalization in the normal state of a superconductor caused by fluctuation pairing which occurs close to the transition temperature. ... More


Calculation of Physical Properties Using the OLCAO Method

Wai-yim Ching and Paul Rulis

in Electronic Structure Methods for Complex Materials: The orthogonalized linear combination of atomic orbitals

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199575800
eISBN:
9780191740992
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199575800.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

This chapter lists many of the common physical properties that can be easily calculated using the OLCAO method discussed in Chapter 3. The most fundamental quantities are the band structures, density ... More


Noise in homogeneous semiconductors

Melvin Lax, Wei Cai, and Min Xu

in Random Processes in Physics and Finance

Published in print:
2006
Published Online:
January 2010
ISBN:
9780198567769
eISBN:
9780191718359
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567769.003.0012
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses noise in homogeneous semiconductors which can all be treated by the Lax–Onsager regression theorem. In a homogeneous sample, the density of free carriers of electrons can be ... More


Orbital Approach to the Electronic Structure of Solids

Enric Canadell, Marie-Liesse Doublet, and Christophe Iung

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199534937
eISBN:
9780191774935
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534937.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book provides an intuitive yet sound understanding of how structure and properties of solids may be related. The natural link is provided by the band theory approach to the electronic structure ... More


Absorption and Emission of Light in III–V Semiconductors

Igor Vurgaftman, Matthew P. Lumb, and Jerry R. Meyer

in Bands and Photons in III-V Semiconductor Quantum Structures

Published in print:
2020
Published Online:
January 2021
ISBN:
9780198767275
eISBN:
9780191821431
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198767275.003.0004
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Previous chapters discussed the crystal structure and bandstructure of III–V semiconductors. This chapter shifts to the book’s second major topic: electronic interactions with light. It introduces ... More


Magnetism in Metals and Alloys

Kannan M. Krishnan

in Fundamentals and Applications of Magnetic Materials

Published in print:
2016
Published Online:
December 2016
ISBN:
9780199570447
eISBN:
9780191813504
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570447.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

Delocalized conduction electrons described by the free electron model can explain the magnetic properties of metals. The spin-split density of states function describes the distribution of available ... More


Quantum confinement

Peter Blood

in Quantum Confined Laser Devices: Optical gain and recombination in semiconductors

Published in print:
2015
Published Online:
November 2015
ISBN:
9780199644513
eISBN:
9780191810329
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199644513.003.0008
Subject:
Physics, Atomic, Laser, and Optical Physics

The properties of the states produced by quantum confinement in double heterostructures are obtained by solving the spatial part of Schrödinger’s equation for a one-dimensional potential well with ... More


Aspects of the Solid State

Olle Eriksson, Anders Bergman, Lars Bergqvist, and Johan Hellsvik

in Atomistic Spin Dynamics: Foundations and Applications

Published in print:
2017
Published Online:
May 2017
ISBN:
9780198788669
eISBN:
9780191830747
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788669.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

Symmetries play an important role in the theory of the solid state. As will be developed in this Chapter, DFT calculations for crystalline materials are commonly performed for the irreducible part of ... More


Density of states

Enric Canadell, Marie-Liesse Doublet, and Christophe Iung

in Orbital Approach to the Electronic Structure of Solids

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199534937
eISBN:
9780191774935
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534937.003.0010
Subject:
Physics, Condensed Matter Physics / Materials

This chapter considers ways to condense the information of the full Brillouin zone in simple chemical terms. The simplest analytical tool devised for this purpose is the density of states (DOS). The ... More


Insulators and Semiconductors

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199646944
eISBN:
9780191775123
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646944.003.0029
Subject:
Physics, Condensed Matter Physics / Materials

Electrons in a crystal provide the most important example of a Fermi-Dirac system in a periodic potential. Due to Bloch's theorem, gaps occur in the density of states in such systems. When the Fermi ... More


Retarded Green’s Functions

Norman J. Morgenstern Horing

in Quantum Statistical Field Theory: An Introduction to Schwinger's Variational Method with Green's Function Nanoapplications, Graphene and Superconductivity

Published in print:
2017
Published Online:
January 2018
ISBN:
9780198791942
eISBN:
9780191834165
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791942.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 5 introduces single-particle retarded Green’s functions, which provide the probability amplitude that a particle created at (x, t) is later annihilated at (x′,t′). Partial Green’s functions, ... More


Approximation Techniques for Stationary and Dynamic Problems

Duncan G. Steel

in Introduction to Quantum Nanotechnology: A Problem Focused Approach

Published in print:
2021
Published Online:
July 2021
ISBN:
9780192895073
eISBN:
9780191924149
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192895073.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

For many aspects of device design, an exact solution to Schrödinger’s equation is not needed. However, it may simultaneously be required that all of the physical features are clearly understood. The ... More


Band Structure Theory for Extended Systems

Jochen Autschbach

in Quantum Theory for Chemical Applications: From Basic Concepts to Advanced Topics

Published in print:
2020
Published Online:
February 2021
ISBN:
9780190920807
eISBN:
9780197508350
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190920807.003.0013
Subject:
Chemistry, Quantum and Theoretical Chemistry

The electronic structure of infinite periodic systems (crystals) is treated with band structure theory, replacing molecular orbitals by crystal orbitals. The chapter starts out by introducing the ... More


Non-separable bound motion

M. S. Child

in Semiclassical Mechanics with Molecular Applications

Published in print:
2014
Published Online:
October 2014
ISBN:
9780199672981
eISBN:
9780191783227
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199672981.003.0007
Subject:
Physics, Atomic, Laser, and Optical Physics

Non-separable bound states in the regular regime lie on f–dimensional invariant tori in the 2f–dimensional phase space. Actions and quantum numbers are fixed by the areas of f topologically distinct ... More


Heat capacity of electrons

Geoffrey Brooker

in Essays in Physics: Thirty-two thoughtful essays on topics in undergraduate-level physics

Published in print:
2021
Published Online:
September 2021
ISBN:
9780198857242
eISBN:
9780191890284
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198857242.003.0027
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

“Heat capacity of electrons” is concerned with the heat capacity of conduction electrons in a metal. The heat capacity is usually of most interest at low temperatures. It is proportional to the ... More


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