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- W2554785820 abstract "The construction of fractional quantum Hall (FQH) states from the two-dimensional array of quantum wires provides a useful way to control strong interactions in microscopic models and has been successfully applied to the Laughlin, Moore-Read, and Read-Rezayi states. We extend this construction to the Abelian and non-Abelian $SU(Nensuremath{-}1)$-singlet FQH states at filling fraction $ensuremath{nu}=k(Nensuremath{-}1)/[N+k(Nensuremath{-}1)m]$ labeled by integers $k$ and $m$, which are potentially realized in multicomponent quantum Hall systems or $SU(N)$ spin systems. Utilizing the bosonization approach and conformal field theory (CFT), we show that their bulk quasiparticles and gapless edge excitations are both described by an $(Nensuremath{-}1)$-component free-boson CFT and the $SU{(N)}_{k}/{[U(1)]}^{Nensuremath{-}1}$ CFT known as the Gepner parafermion. Their generalization to different filling fractions is also proposed. In addition, we argue possible applications of these results to two kinds of lattice systems: bosons interacting via occupation-dependent correlated hoppings and an $SU(N)$ Heisenberg model." @default.
- W2554785820 created "2016-11-30" @default.
- W2554785820 creator A5035586738 @default.
- W2554785820 creator A5048671032 @default.
- W2554785820 date "2017-03-24" @default.
- W2554785820 modified "2023-10-06" @default.
- W2554785820 title "Non-Abelian<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-singlet fractional quantum Hall states from coupled wires" @default.
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