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Tunable dispersion of the edge states in the integer quantum Hall effect
by Maik Malki, Götz S. Uhrig
- Published as SciPost Phys. 3, 032 (2017)
|As Contributors:||Maik Malki · Götz Uhrig|
|Arxiv Link:||http://arxiv.org/abs/1709.04224v1 (pdf)|
|Date submitted:||2017-09-14 02:00|
|Submitted by:||Uhrig, Götz|
|Submitted to:||SciPost Physics|
Topological aspects represent currently a boosting area in condensed matter physics. Yet there are very few suggestions for technical applications of topological phenomena. Still, the most important is the calibration of resistance standards by means of the integer quantum Hall effect. We propose modifications of samples displaying the integer quantum Hall effect which render the tunability of the Fermi velocity possible by external control parameters such as gate voltages. In this way, so far unexplored possibilities arise to realize devices such as tunable delay lines and interferometers.
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Published as SciPost Phys. 3, 032 (2017)
Submission & Refereeing History
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- Report 2 submitted on 2017-10-12 02:48 by Anonymous
- Report 1 submitted on 2017-09-20 04:30 by Anonymous
Reports on this Submission
Anonymous Report 2 on 2017-10-12 (Invited Report)
- Cite as: Anonymous, Report on arXiv:1709.04224v1, delivered 2017-10-12, doi: 10.21468/SciPost.Report.259
This paper paper reports on a numerical study of edge states in a quantum Hall system coupled to a periodic array of "bays" with tunable bound energy states. By adjusting these energetically the authors convincingly show that the Fermi velocity of the system can be very substantially decreased from its unperturbed value. The physics is very understandable and appealing, and the numerical results quite convincing.
I do not notice any significant weaknesses.
I found the paper to be well-written and potentially quite useful, particularly to people wishing to use these methods for studies of quantum Hall systems in structured environments. The agreement between the numerical results and what one expects upon some thought is quite satisfying.
I have no requested changes.
Anonymous Report 1 on 2017-9-20 (Invited Report)
- Cite as: Anonymous, Report on arXiv:1709.04224v1, delivered 2017-09-20, doi: 10.21468/SciPost.Report.240
The paper is very well organized and contains specific details of the calculations.
See "requested changes"
This manuscript provides details of tunable delay lines which work in the integer quantum Hall regime. I find this effort highly original and important as there are relatively few experimental realizations of devices which rely on the so called topological property or the presence of the edge states.
I found only one issue which needs clarification. Past page 15, the authors discuss edge states coupled to a series of bays. The authors have explained clearly that the Fermi velocity will be slowed down substantially in the region where the edge couples to one bay. However, in between such coupled regions there are other regions, each of length L_xp-L_o which I believe are not coupled to the bays, therefore the Fermi velocity is unchanged here. I therefore suspect that in Fig.11-14 the average velocity is plotted. As such, such an average velocity will indeed describe the proposed delay line.
However, from the text of the manuscript, is was not clear if the authors did indeed compute such an average speed. Should the average speed decrease all the way to zero at certain gate voltages in Fig.14?
So I am asking the authors to clarify if in Fig.11-14 they intended to discuss the average velocity.