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2017

Fractons from Partons

Hsieh, Timothy H., Halász, Gábor B.

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Fracton topological phases host fractionalized excitations that are either completely immobile or only mobile along certain lines or planes.

We demonstrate how such phases can be understood in terms of two fundamentally different types of parton constructions, in which physical degrees of freedom are decomposed into clusters of "parton" degrees of freedom subject to emergent gauge constraints.
First, we employ non-interacting partons subject to multiple overlapping constraints to describe a fermionic fracton model.
Second, we demonstrate how interacting partons can be used to develop new models of bosonic fracton phases, both with string and membrane logical operators (type-I fracton phases) and with fractal logical operators (type-II fracton phases).

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S. Vijay, J. Haah, and L. Fu. Phys. Rev. B 94, 235157 (2016)

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See the Supplemental Material for details

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Note that each interaction term is inversion symmetric while the two independent terms (and their dependent product) are transformed into each other by a simultaneous three-fold rotation around the [111] diagonal in both real space and spin space

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