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• W2055761256 abstract "The edge of spin unpolarized or spin polarized $nu=2/3$ fractional quantum Hall states is predicted by the effective theory to support a backward moving neutral mode in addition to a forward moving charge mode. We study this issue from a microscopic perspective where these states are identified with effective filling factor of 2 of composite fermions, but with an effective magnetic field that is antiparallel to the external field. A simple counting from the composite fermion description suggests that there might be two backward moving edge modes, but explicit calculations show that one of these is projected out of the low energy sector, while the remaining mode provides a good microscopic account of the actual counter propagating edge mode. The forward moving modes are identified as Schur modes, obtained by multiplying the ground state wave function by the symmetric Schur polynomials. The edge of the 2/3 spin unpolarized state provides a particularly striking realization of spin charge separation in a one dimensional Tomonaga Luttinger liquids, with the spin and charge modes moving in opposite directions." @default.
• W2055761256 created "2016-06-24" @default.
• W2055761256 creator A5031600515 @default.
• W2055761256 creator A5046827818 @default.
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• W2055761256 date "2012-09-20" @default.
• W2055761256 modified "2023-10-16" @default.
• W2055761256 title "Microscopic study of edge excitations of spin-polarized and spin-unpolarized<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math>fractional quantum Hall effect" @default.
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• W2055761256 doi "https://doi.org/10.1103/physrevb.86.115127" @default.
• W2055761256 hasPublicationYear "2012" @default.
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