Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session M66: Fractons: from symmetry and fractionalisation to dynamics and realisationsInvited

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Sponsoring Units: DCMP Chair: Andrey Gromov, University of California, Berkeley Room: Four Seasons 1 
Wednesday, March 4, 2020 11:15AM  11:51AM 
M66.00001: Fracton topological order via quantum elasticity duality Invited Speaker: Leo Radzihovsky I will discuss a recent discovery that elasticity theory of a twodimensional quantum crystal is dual to a fracton tensor and to a coupledvector gauge theories, thereby providing a concrete realization of the “fracton order” phenomenon. The disclinations and dislocations respectively map onto charges and dipoles of these gauge theories. The fractionalized mobility of fractons matches the constrained dynamics of lattice topological defects. These dualities lead to predictions fractonic phases, and phase transitions to their descendants, that are duals of the commensurate crystal, supersolid, smectic, and hexatic liquid crystals. Extensions of this duality to generalized elasticity theories provide a route to discovery of new fractonic models and their potential experimental realizations. 
Wednesday, March 4, 2020 11:51AM  12:27PM 
M66.00002: NonAbelian Fracton Order: a TQFT perspective Invited Speaker: Abhinav Prem Fracton phases exhibit striking behaviour which appears to render them beyond the standard topological quantum field theory (TQFT) paradigm. In this talk, I will discuss progress towards understanding fracton order from the perspective of TQFTs, focusing primarily on nonAbelian fracton models, which host nonAbelian particles with restricted mobility in three spatial dimensions. In particular, I will present topological defect networks – networks of topological defects embedded in stratified 3+1D TQFTs – as a new, unified framework for describing gapped fracton orders. 
Wednesday, March 4, 2020 12:27PM  1:03PM 
M66.00003: Fractons: The Road to Reality Invited Speaker: Michael Pretko In this talk, I will give an overview of progress towards connecting the field of fractons with experiments. I will begin with a brief introduction to fractons, describing some of the models and phenomenology encountered in the field. I will then describe some advances in proposed spin models realizing fracton behavior, along with some experimental diagnostics which are useful for detecting fractons. Finally, I will discuss several new platforms for realizing fracton physics, such as holedoped antiferromagnets and electric circuits. 
Wednesday, March 4, 2020 1:03PM  1:39PM 
M66.00004: Rank2 Coulomb Spin Liquids from Classical Spins Invited Speaker: Owen Benton Coulomb spin liquids are well studied spin liquid states exhibiting emergent electromagnetism, having a coarsegrained description corresponding to Maxwell's laws. It has recently been appreciated that even more exotic scenarios are possible, realizing generalizations of electromagnetism with rank2 electric and magnetic fields. These are of particular interest since the emergent charges of the rank2 electromagnetism can be fractons, with fundamentally constrained mobility. 
Wednesday, March 4, 2020 1:39PM  2:15PM 
M66.00005: Ergodicitybreaking arising from Hilbert space fragmentation in dipoleconserving Hamiltonians Invited Speaker: Frank Pollmann We show that the combination of charge and dipole conservationcharacteristic of fracton systemsleads to an extensive fragmentation of the Hilbert space, which in turn can lead to a breakdown of thermalization. As a concrete example, we investigate the outofequilibrium dynamics of onedimensional spin1 models that conserve charge (total Sz) and its associated dipole moment. First, we consider a minimal model including only threesite terms and find that the infinite temperature autocorrelation saturates to a finite value. The absence of thermalization is identified as a consequence of the strong fragmentation of the Hilbert space into exponentially many invariant subspaces in the local Sz basis, arising from the interplay of dipole conservation and local interactions. Second, we extend the model by including foursite terms and find that this perturbation leads to a weak fragmentation: the system still has exponentially many invariant subspaces, but they are no longer sufficient to avoid thermalization for typical initial states. More generally, for any finite range of interactions, the system still exhibits nonthermal eigenstates appearing throughout the entire spectrum. 
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