Non-Abelian twist to integer quantum Hall states
نویسندگان
چکیده
منابع مشابه
Anatomy of Abelian and non-Abelian fractional quantum Hall states.
We deduce a new set of symmetries and relations between the coefficients of the expansion of Abelian and non-Abelian fractional quantum Hall (FQH) states in free (bosonic or fermionic) many-body states. Our rules allow us to build an approximation of a FQH model state with an overlap increasing with growing system size (that may sometimes reach unity) while using a fraction of the original Hilb...
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The Fractional Quantum Hall states with non-Abelian statistics are studied. Those states are shown to be characterized by non-Abelian topological orders and are identified with some of the Jain’s states. The gapless edge states are found to be described by non-Abelian Kac-Moody algebras. It is argued that the topological orders and the associated properties are robust against any kinds of small...
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We show that non-Abelian quantum Hall states can be identified by experimental measurements of the temperature dependence of either the electrochemical potential or the orbital magnetization. The predicted signals of non-Abelian statistics are within experimental resolution, and can be clearly distinguished from other contributions under realistic circumstances. The proposed measurement techniq...
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Abelian two-component fractional quantum Hall states. " Physical Review B 82.23 (2010): n. pag. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters.
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Non-abelian anyons--particles whose exchange noncommutatively transforms a system's quantum state--are widely sought for the exotic fundamental physics they harbour and for quantum computing applications. Numerous blueprints now exist for stabilizing the simplest type of non-anyon, defects binding Majorana modes, by interfacing widely available materials. Here we introduce a device fabricated f...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2019
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.100.085116