Fractons

By R. Nandkishore, M. Hermele. Annual Review of Condensed Matter Physics, 2018

510 citations recorded by the source corpus.

Fracton phases constitute a new class of quantum state of matter. They are characterized by excitations that exhibit restricted mobility, being either immobile under local Hamiltonian dynamics or mobile only in certain directions. These phases do not wholly fit into any of the existing paradigms but connect to areas including glassy quantum dynamics, topological order, spin liquids, elasticity theory, quantum information theory, and gravity. We begin by discussing gapped fracton phases, which may be described using exactly solvable lattice spin models. We then introduce the framework of tensor gauge theory, which provides a powerful complementary perspective and allows us to access gapless fracton phases. We discuss the basic properties of gapless fracton phases and their connections to elasticity theory and gravity. We also discuss what is known about the dynamics and thermodynamics of fractons at nonzero density before concluding with a brief survey of some open problems.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dd579b60ac1ab68320852c8e3021ca1334006e31

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Localization in Fractonic Random Circuits (2018, background): “Parallel to the developments in quantum dynamics, recent years have also witnessed an explosion of interest in fracton phases of quantum matter [26–45] - for a review, see [46].”
Measurement as a Shortcut to Long-Range Entangled Quantum Matter (2022, methodology): “Specifically, the effective parton Hamiltonian derived from perturbation theory reads Heff = i 4 ∑ jk Ajkcjck (10) with Ajk including both nearest-neighbor and nextnearest-neighbor hopping amplitudes (see Ref.”
Fracton hydrodynamics (2020, background): “[44] Rahul M Nandkishore and Michael Hermele, “Fractons,” arXiv preprint arXiv:1803.”
Towards Classification of Fracton Phases: The Multipole Algebra (2018, background): “[37–48], while a broad picture is given in the review [49].”
Generalized Symmetries in Condensed Matter (2022, unknown): “An interesting special case of topologically ordered states is fracton phases (5, 6).”
Hilbert Space Fragmentation and Commutant Algebras (2021, background): “Classic examples of systems that fall into this category are stabilizer code models such as the toric code [58, 59] or certain fracton models [60, 61].”