Abstract
The possibility of a Kramers-Kronig relation between the longitudinal and transverse conductivities of a 2-D electron gas in the presence of a magnetic field is investigated. The longitudinal (σ xx ) and the transverse (σ yx ) conductivities are expressed as the real and imaginary part of a complex conductivity (σ). A formal expression is derived for σ within the independent particle approximation. In the classical limit, σ is analytic in the upper complex ω c plane, where ω c is the cyclotron frequency. Hence the usual Kramers-Kronig relation holds for σ c. We modeled a quantum correction (σ q) to σ and found that σ q is non-analytic in the upper half plane, hence the total σ does not satisfy a Kramers-Kronig relation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
