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arXiv · 1805.00945

Algebraic Approach to Fractional Quantum Hall Effect

Dung Xuan Nguyen·Dam Thanh Son
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Abstract

We construct an algebraic description for the ground state and for the static response of the quantum Hall plateaux with filling factor $ν=N/(2N+1)$ in the large $N$ limit. By analyzing the algebra of the fluctuations of the shape of the Fermi surface of the composite fermions, we find the explicit form of the projected static structure factor at large $N$ and fixed $z=(2N+1) q\ell_B\sim 1$. When $z<3.8$, the result does not depend on the particular form of the Hamiltonian.

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Dung Xuan Nguyen, Dam Thanh Son. 2018-05-02. Algebraic Approach to Fractional Quantum Hall Effect. https://doi.org/10.1103/physrevb.98.241110

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