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• CommentRowNumber1.
• CommentAuthorzskoda
• CommentTimeSep 20th 2013

Unfortunately, there are two entries on the same topic, both created by Urs: quantum Hall effect (redirecting also fractional quantum Hall effect what should eventually split off) with some substance, and the microstub quantum hall effect. I would like to create quantum spin Hall effect and I think I should rename/reclaim the stub quantum hall effect for this. Do others agree ? Urs ?

As the action is now delayed I record here the reference which I wanted to put there

• B. Andrei Bernevig, Taylor L. Hughes, Shou-Cheng Zhang, Quantum spin Hall rffect and topological phase transition in HgTe quantum wells, Science 15 December 2006: 314, n. 5806, pp. 1757-1761 doi

Somewhat surprisingly, the authors and roughly this work of them are mentioned (though not in the list of references) in a paper in algebraic geometry

which considers the mirror symmetry and topological states of matters (topological insulators in particular) as main applications.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeSep 20th 2013

Thanks for fixing this! Didn’t notice.

• CommentRowNumber3.
• CommentAuthorTobyBartels
• CommentTimeSep 21st 2013

The theoretically proper thing to do is to move (change page name) quantum hall effect to quantum hall effect > history (while replacing its content with &lt; [[quantum hall effect]] and of course putting [[!redirects quantum hall effect]] at quantum Hall effect).

After saying all that, I decided to just do it. So I did it.

However, since there is no actual additional content, nor even any edit history of such, it actually doesn't matter if you do as you propose instead. In particular, if you'd like to have Urs's ministub in the history of your page, then go to quantum hall effect > history (or even revision 1) and rename and edit it. I won't be upset (^_^).

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeFeb 12th 2021

I have added missing publication data for this item:

• Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, Sankar Das Sarma, Non-Abelian Anyons and Topological Quantum Computation, Rev. Mod. Phys. 80, 1083, 2008([arXiv:0707.1888] (http://arxiv.org/abs/0707.1889), doi:10.1103/RevModPhys.80.1083)

And added this more recent pointer:

• Ville Lahtinen, Jiannis K. Pachos, A Short Introduction to Topological Quantum Computation, SciPost Phys. 3, 021 (2017) (arXiv:1705.04103)
• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeFeb 15th 2021

I have added the original references predicting abelian anyons in the FQHE:

I think I will give this References subsection its own bare entry, for ease of !include-ing it elsewhere, such as at anyon

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeFeb 17th 2021

I have added pointer to the original article

and to the review

Have to interrupt now to do something else…

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeFeb 17th 2021

Have added references on the theoretical foundations:

While an intuitive understanding for the quantization of the Hall conductance has been given in

a theoretical derivation of the effect was obtained only much later in

with closely related results in

• Alessandro Giuliani, Vieri Mastropietro, Marcello Porta, Universality of the Hall conductivity in interacting electron systems, Communications in Mathematical Physics volume 349, pages 1107–1161(2017) (arXiv:1511.04047, doi:10.1007/s00220-016-2714-8)

Review of this theory behind the quantum Hall effect:

• CommentRowNumber8.
• CommentAuthorzskoda
• CommentTimeAug 19th 2021
• S. Klevtsov, X. Ma, G. Marinescu, P. Wiegmann, Quantum Hall effect and Quillen metric Commun. Math. Phys. 349, 819–855 (2017) doi
• CommentRowNumber9.
• CommentAuthorUrs
• CommentTimeNov 17th 2021

• William Wolf, James Read, Nicholas Teh, Edge modes and dressing fields for the Newton-Cartan quantum Hall effect (arXiv:2111.08052)
• CommentRowNumber10.
• CommentAuthorUrs
• CommentTimeJun 8th 2022

• Steven M. Girvin, Introduction to the Fractional Quantum Hall Effect, Séminaire Poincaré 2 (2004) 53–74, reprinted in The Quantum Hall Effect, Progress in Mathematical Physics 45, Birkhäuser (2005) $[$pdf, doi:10.1007/3-7643-7393-8_4$]$
• David Tong, The Quantum Hall Effect (2016) $[$course webpage, pdf$]$