Two-dimensional inversion symmetry as the fundamental symmetry of incompressible quantum Hall fluids

F. D. M. Haldane

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arXiv · 2302.10968

Two-dimensional inversion symmetry as the fundamental symmetry of incompressible quantum Hall fluids

F. D. M. Haldane

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Abstract

Two dimensional inversion symmetry ($180^{\circ}$ rotations in the ``Hall plane'' that hosts the incompressible electron fluid that exhibits the quantized Hall effect) is identified as its fundamental unbroken symmetry. A consequence is that the integers $p$ and $q$ which define both the Landau level filling factor $\nu$ = $p/q$ and the elementary fractional charge $\pm e/q$ of topological excitations, cannot have a common divisor greater than 2.

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F. D. M. Haldane. 2023-02-21. Two-dimensional inversion symmetry as the fundamental symmetry of incompressible quantum Hall fluids. https://arxiv.org/abs/2302.10968

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