Modular symmetry and temperature flow of conductivities in quantum Hall systems with varying Zeeman energy

Abstract

The behaviour of the critical point between quantum Hall plateaux, as the Zeeman energy is varied, is analysed using modular symmetry of the Hall conductivities following from the law of corresponding states. Flow diagrams for the conductivities as a function of temperature, with the magnetic field fixed, are constructed for different Zeeman energies, for samples with particle-hole symmetry.

15 pages, 13 figures

References in corpus (3)

• Quantum critical transport, duality, and M-theory
• An experimental study on $\Gamma$(2) modular symmetry in the quantum Hall system with a small spin-splitting
• Modular Symmetry and Fractional Charges in N=2 Supersymmetric Yang-Mills and the Quantum Hall Effect

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• An RG potential for the quantum Hall effects
• Duality and modular symmetry in the quantum Hall effect from Lifshitz holography
• Fractionally charged anyon generated by topological path fusion in magnetic flux lattice