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Title:
A Higher-Spin Theory of the Magneto-Rotors
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Abstract:
We propose a theory of the magneto- rotons on the quantum Hall plateaux near half filling, namely, at filling fractions \nu = N/(2N + 1) at large N. The theory involves an infinite number of bosonic fields arising from bosonizing the fluctuations of the shape of the composite Fermi surface. The mixing of modes at nonzero momentum q leads to the characteristic bending down of the lowest excitation and the appearance of the magneto-roton minima. A purely algebraic argument show that the magneto- roton minima are located at qL = zi/(2N + 1), where L is the magnetic length and zi are the zeros of the Bessel function J1, independent of the microscopic details. We argue that these minima are universal features of any two-dimensional Fermi surface coupled to a gauge field in a small background magnetic field.
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