|
|||||
 |
|
|
|
|
|
|
Asymmetric transport for
magnetic Dirac equations
Solomon Quinn and Guillaume Bal |
|
Vol. 6 (2024), No. 2, 353–377
|
Abstract |
|
This paper concerns the asymmetric transport associated with a low-energy interface Dirac model of graphene-type materials subject to external magnetic and electric fields. We show that the relevant physical observable, an interface conductivity, is quantized and robust to a large class of perturbations. These include defects that decay along or away from the interface, and sufficiently small or localized changes in the external fields. An explicit formula for the interface conductivity is given by a spectral flow. |
PDF Access Denied
We have not been able to recognize your IP address
3.144.250.90
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
bulk-interface correspondence, Dirac equation, spectral
flow, topological insulator
|
Mathematical Subject Classification
Primary: 35P15
Secondary: 35J46, 81Q15
|
Milestones
Received: 13 January 2023
Revised: 10 September 2023
Accepted: 2 January 2024
Published: 16 May 2024
|
Authors |
| Solomon Quinn | |
| School of Mathematics University of Minnesota Minneapolis, MN United States |
|
| Guillaume Bal | |
| Departments of Statistics and
Mathematics University of Chicago Chicago, IL United States |
|
| © 2024 MSP (Mathematical Sciences Publishers). |
