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Quantum Hall Edges with Hard Confinement: Exact Solution beyond Luttinger Liquid

Abstract:
We consider a Laughlin droplet in a confining potential which is very steep but also weak compared to the ultra-short ranged inter-particle interactions. We find that the eigenstates have a Jack polynomial structure, and have an energy spectrum which is extremely different from the well known Luttinger liquid edge.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevB.95.201108

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
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Institution:
University of Oxford
Oxford college:
Somerville College
Role:
Author
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Name:
Engineering and Physical Sciences Research Council
Grant:
EP/I032487/1, EP/I031014/1, EP/N01930X/1
Publisher:
American Physical Society
Journal:
Physical Review B More from this journal
Volume:
95
Pages:
201108(R)
Publication date:
2017-05-18
Acceptance date:
2017-05-01
DOI:
ISSN:
0031-899X
Keywords:
Pubs id:
pubs:692108
UUID:
uuid:ad78f71f-e773-4fe2-b97d-3da0d3790160
Local pid:
pubs:692108
Source identifiers:
692108
Deposit date:
2017-05-02

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