A classification of quantum Hall fluids

DOI10.1007/BF02199122zbMath0952.81503arXivcond-mat/9503113OpenAlexW2127432417MaRDI QIDQ1285297

Emmanuel Thiran, Jürg Fröhlich, Urban M. Studer

Publication date: 18 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9503113

zbMATH Keywords

phase transitionsquadratic formsintegral latticesquantum Hall effectlattice embeddingsclassification of universality classes of quantum Hall fluids

Mathematics Subject Classification ID

Statistical mechanics of superfluids (82D50) Many-body theory; quantum Hall effect (81V70)

Related Items (14)

Thermoelectric Characteristics of $${\mathbb Z}_k$$ Z k Parafermion Coulomb Islands ⋮ A universal conformal field theory approach to the chiral persistent currents in the mesoscopic fractional quantum Hall states ⋮ A many-body index for quantum charge transport ⋮ Dynamical Abelian anyons with bound states and scattering states ⋮ Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands ⋮ A general approach to quantum Hall hierarchies ⋮ Towards a universal set of topologically protected gates for quantum computation with Pfaffian qubits ⋮ Rational indices for quantum ground state sectors ⋮ New maverick coset theories ⋮ Stability and activation gaps of the parafermionic Hall states in the second Landau level ⋮ LAUGHLIN'S WAVE FUNCTION AND ANGULAR MOMENTUM ⋮ Thermopower and thermoelectric power factor of \(\mathbb{Z}_k\) parafermion quantum dots ⋮ The \(\nu=5/2\) quantum Hall state revisited: spontaneous breaking of the chiral fermion parity and phase transition between Abelian and non-Abelian statistics ⋮ Exact modular \(S\) matrix for \(\mathbb{Z}_k\) parafermion quantum Hall Islands and measurement of non-abelian anyons

Cites Work

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