Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros
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...
متن کاملNon-Abelian quantum Hall states and their quasiparticles: From the pattern of zeros to vertex algebra
Citation Lu, Yuan-Ming et al. " Non-Abelian quantum Hall states and their quasiparticles: From the pattern of zeros to vertex algebra. 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. ...
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It has been shown that different Abelian and non-Abelian fractional quantum Hall states can be characterized by patterns of zeros described by sequences of integers Sa . In this paper, we will show how to use the data Sa to calculate various topological properties of the corresponding fraction quantum Hall state, such as the number of possible quasiparticle types and their quantum numbers, as w...
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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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The discovery of the fractional quantum Hall effect stimulated the investigation of anyons, particles with fractional statistics which are neither bosons nor fermions. This thesis focuses on the study of quantum Hall states which may support nonAbelian anyons. We first address the validity of assumptions used in the numerical study of such states, and then proceed with analyzing different exper...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2010
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.82.245301