The Faraday effect revisited: General theory

Publikation: Bog/antologi/afhandling/rapportRapportForskning

237 Downloads (Pure)

Resumé

This paper is the first in a series revisiting the Faraday effect, or more generally, the theory of electronic quantum transport/optical response in bulk media in the presence of a constant magnetic field. The independent electron approximation is assumed. For free electrons, the transverse conductivity can be explicitly computed and coincides with the classical result. In the general case, using magnetic perturbation theory, the conductivity tensor is expanded in powers of the strength of the magnetic field B. Then the linear term in B of this expansion is written down in terms of the zero magnetic field Green function and the zero field current operator. In the periodic case, the linear term in B of the conductivity tensor is expressed in terms of zero magnetic field Bloch functions and energies. No derivatives with respect to the quasimomentum appear and thereby all ambiguities are removed, in contrast to earlier work.
OriginalsprogEngelsk
Udgivelses stedDept. of Mathematical Sciences
ForlagAalborg Universitetsforlag
Antal sider22
StatusUdgivet - 2005
NavnResearch Report Series
NummerR-2005-24
ISSN1399-2503

Fingerprint

Faraday effect
magnetic fields
conductivity
tensors
quantum electronics
ambiguity
free electrons
Green's functions
perturbation theory
operators
expansion
approximation
electrons
energy

Citer dette

Cornean, H. D., Nenciu, G., & Pedersen, T. G. (2005). The Faraday effect revisited: General theory. Dept. of Mathematical Sciences: Aalborg Universitetsforlag. Research Report Series, Nr. R-2005-24
Cornean, Horia Decebal ; Nenciu, Gheorghe ; Pedersen, Thomas Garm. / The Faraday effect revisited: General theory. Dept. of Mathematical Sciences : Aalborg Universitetsforlag, 2005. 22 s. (Research Report Series; Nr. R-2005-24).
@book{57e701609ee411da917e000ea68e967b,
title = "The Faraday effect revisited: General theory",
abstract = "This paper is the first in a series revisiting the Faraday effect, or more generally, the theory of electronic quantum transport/optical response in bulk media in the presence of a constant magnetic field. The independent electron approximation is assumed. For free electrons, the transverse conductivity can be explicitly computed and coincides with the classical result. In the general case, using magnetic perturbation theory, the conductivity tensor is expanded in powers of the strength of the magnetic field B. Then the linear term in B of this expansion is written down in terms of the zero magnetic field Green function and the zero field current operator. In the periodic case, the linear term in B of the conductivity tensor is expressed in terms of zero magnetic field Bloch functions and energies. No derivatives with respect to the quasimomentum appear and thereby all ambiguities are removed, in contrast to earlier work.",
author = "Cornean, {Horia Decebal} and Gheorghe Nenciu and Pedersen, {Thomas Garm}",
year = "2005",
language = "English",
series = "Research Report Series",
number = "R-2005-24",
publisher = "Aalborg Universitetsforlag",

}

Cornean, HD, Nenciu, G & Pedersen, TG 2005, The Faraday effect revisited: General theory. Research Report Series, nr. R-2005-24, Aalborg Universitetsforlag, Dept. of Mathematical Sciences.

The Faraday effect revisited: General theory. / Cornean, Horia Decebal; Nenciu, Gheorghe; Pedersen, Thomas Garm.

Dept. of Mathematical Sciences : Aalborg Universitetsforlag, 2005. 22 s. (Research Report Series; Nr. R-2005-24).

Publikation: Bog/antologi/afhandling/rapportRapportForskning

TY - RPRT

T1 - The Faraday effect revisited: General theory

AU - Cornean, Horia Decebal

AU - Nenciu, Gheorghe

AU - Pedersen, Thomas Garm

PY - 2005

Y1 - 2005

N2 - This paper is the first in a series revisiting the Faraday effect, or more generally, the theory of electronic quantum transport/optical response in bulk media in the presence of a constant magnetic field. The independent electron approximation is assumed. For free electrons, the transverse conductivity can be explicitly computed and coincides with the classical result. In the general case, using magnetic perturbation theory, the conductivity tensor is expanded in powers of the strength of the magnetic field B. Then the linear term in B of this expansion is written down in terms of the zero magnetic field Green function and the zero field current operator. In the periodic case, the linear term in B of the conductivity tensor is expressed in terms of zero magnetic field Bloch functions and energies. No derivatives with respect to the quasimomentum appear and thereby all ambiguities are removed, in contrast to earlier work.

AB - This paper is the first in a series revisiting the Faraday effect, or more generally, the theory of electronic quantum transport/optical response in bulk media in the presence of a constant magnetic field. The independent electron approximation is assumed. For free electrons, the transverse conductivity can be explicitly computed and coincides with the classical result. In the general case, using magnetic perturbation theory, the conductivity tensor is expanded in powers of the strength of the magnetic field B. Then the linear term in B of this expansion is written down in terms of the zero magnetic field Green function and the zero field current operator. In the periodic case, the linear term in B of the conductivity tensor is expressed in terms of zero magnetic field Bloch functions and energies. No derivatives with respect to the quasimomentum appear and thereby all ambiguities are removed, in contrast to earlier work.

M3 - Report

T3 - Research Report Series

BT - The Faraday effect revisited: General theory

PB - Aalborg Universitetsforlag

CY - Dept. of Mathematical Sciences

ER -

Cornean HD, Nenciu G, Pedersen TG. The Faraday effect revisited: General theory. Dept. of Mathematical Sciences: Aalborg Universitetsforlag, 2005. 22 s. (Research Report Series; Nr. R-2005-24).