Fractons from Partons

Abstract

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). In particular, we find a new type-II model which saturates a bound on its information storage capacity. Our parton approach is generic beyond exactly solvable models and provides a variational route to realizing fracton phases in more physically realistic systems.

5 + 3 pages, 4 + 2 figures

References in corpus (5)

• Local stabilizer codes in three dimensions without string logical operators
• Glassy quantum dynamics in translation invariant fracton models
• Fracton topological order via coupled layers
• Fracton Topological Order from Nearest-Neighbor Two-Spin Interactions and Dualities
• Isotropic Layer Construction and Phase Diagram for Fracton Topological Phases

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• Topological Entanglement Entropy of Fracton Stabilizer Codes
• A classification of 3+1D bosonic topological orders (I): the case when point-like excitations are all bosons
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• Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order
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• Entanglement Entropy From Tensor Network States for Stabilizer Codes
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• Recoverable Information and Emergent Conservation Laws in Fracton Stabilizer Codes
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• A simple anisotropic three-dimensional quantum spin liquid with fracton topological order
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• Jordan-Wigner Dualities for Translation-Invariant Hamiltonians in Any Dimension: Emergent Fermions in Fracton Topological Order
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• Lieb-Schultz-Mattis type constraints on Fractonic Matter
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• Fractal Quantum Phase Transitions: Critical Phenomena Beyond Renormalization
• Planar p-String Condensation: Chiral Fracton Phases from Fractional Quantum Hall Layers and Beyond
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