Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 2981
Articles: 2'032'881
Articles rated: 2577

24 January 2021
 
  » arxiv » cond-mat/0404397

 Article overview


Non-Markovian Effects on the Two-Dimensional Magnetotransport: Low-field Anomaly in Magnetoresistance
Vadim V. Cheianov ; A.P. Dmitriev ; V.Yu. Kachorovskii ;
Date 16 Apr 2004
Subject Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall
AbstractWe discuss classical magnetotransport in a two-dimensional system with strong scatterers. Even in the limit of very low field, when $omega_c au ll 1$ ($omega_c$ is the cyclotron frequency, $ au$ is the scattering time) such a system demonstrates strong negative magnetoresistance caused by non-Markovian memory effects. A regular method for the calculation of non-Markovian corrections to the Drude conductivity is presented. A quantitative theory of the recently discovered anomalous low-field magnetoresistance is developed for the system of two-dimensional electrons scattered by hard disks of radius $a,$ randomly distributed with concentration $n.$ For small magnetic fields the magentoresistance is found to be parabolic and inversely proportional to the gas parameter, $ delta ho_{xx}/ ho sim - (omega_c au)^2 / n a^2.$ In some interval of magnetic fields the magnetoresistance is shown to be linear $delta ho_{xx}/ ho sim - omega_c au $ in a good agreement with the experiment and numerical simulations. Magnetoresistance saturates for $omega_c au gg na^2$, when the anomalous memory effects are totally destroyed by the magnetic field. We also discuss magnetotransport at very low fields and show that at such fields magnetoresistance is determined by the trajectories having a long Lyapunov region.
Source arXiv, cond-mat/0404397
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser CCBot/2.0 (https://commoncrawl.org/faq/)






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2021 - Scimetrica