Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-10T21:07:24.855Z Has data issue: false hasContentIssue false

3 - Quantum transport via evanescent waves

Published online by Cambridge University Press:  24 May 2020

Mikhail I. Katsnelson
Mikhail I. Katsnelson
Affiliation:
Radboud Universiteit Nijmegen
Get access

Summary

The chapter explains a physics of minimal conductivity in graphene. It is shown that a new type of electronic transport arises in graphene, namely, electron tunneling via zero modes of Dirac operator. The relation to Zitterbewegung concept of relativistic quantum mechanics is demonstrated. We calculate the value of minuimal conductivity and shot noise in the neutrality point, and consider Aharonov–Bohm effect in undoped graphene rings.

Keywords

ZitterbewegungLandauer formulaAharonov–Bohm effectminimal conductivityevansecent wavesconformal mapping
Type
Chapter
Information
The Physics of Graphene , pp. 63 - 76
Publisher: Cambridge University Press
Print publication year: 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×