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Effective edge state dynamics in the fractional quantum Hall effect

Abstract:
We consider the behavior of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low-energy, large-system limit. Using the close links between quantum Hall wave functions and conformal field theories, we construct effective Hamiltonians from general principles and then constrain their forms by considering the effect of bulk symmetries on the properties of the edge. In examining the effect of bulk interactions on this edge, we find remarkable simplifications to these effective theories which allow for a very accurate description of the low-energy physics of quantum Hall edges relatively far away from the Luttinger liquid fixed point, and which apply to small systems and higher energies.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevB.98.155321

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Somerville College
Role:
Author


Publisher:
American Physical Society
Journal:
Physical Review B: Condensed Matter and Materials Physics More from this journal
Volume:
98
Issue:
15
Publication date:
2018-10-29
Acceptance date:
2018-09-07
DOI:
EISSN:
1550-235X
ISSN:
1098-0121


Pubs id:
pubs:912465
UUID:
uuid:bba395ba-1a00-4925-aa91-b4ac3e573153
Local pid:
pubs:912465
Source identifiers:
912465
Deposit date:
2018-09-07

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