Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States
نویسندگان
چکیده
منابع مشابه
Stability of chiral Luttinger liquids and Abelian quantum Hall states.
A criterion is given for topological stability of Abelian quantum Hall states, and of Luttinger liquids at the boundaries between such states; this suggests a selection rule on states in the quantum Hall hierarchy theory. The linear response of Luttinger liquids to electromagnetic fields is described: the Hall conductance is quantized, irrespective of whether edge modes propagate in different d...
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We report current transmission data through a split-gate constriction fabricated onto a two-dimensional electron system in the integer quantum Hall (QH) regime. Split-gate biasing drives interedge backscattering and is shown to lead to suppressed or enhanced transmission, in marked contrast to the expected linear Fermi-liquid behavior. This evolution is described in terms of particle-hole symme...
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The low energy effective theory of the edge excitations in the Fractional Quantum Hall (FQH) states is proposed. The edge excitations are shown to form a new kind of state which is called the Chiral Luttinger Liquid (χLL). The effective theory is exactly soluble. This enables us to easily calculate all the low energy properties of the edge excitations. We calculate the electron propagator and t...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1995
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.74.2090