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Infinite families of fracton fluids with momentum conservation
Statistical Mechanics · Submitted 17 Nov 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We construct infinite families of new universality classes of fracton hydrodynamics with momentum conservation, both with multipole conservation laws and/or subsystem symmetry.
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The abstract, sentence by sentence
We construct infinite families of new universality classes of fracton hydrodynamics with momentum conservation, both with multipole conservation laws and/or subsystem symmetry. We explore the effects of broken inversion and/or time-reversal symmetry at the ideal fluid level, along with momentum relaxation. In the case of one-dimensional multipole-conserving models, we write down explicit microscopic Hamiltonian systems realizing these new universality classes. All of these hydrodynamic universality classes exhibit instabilities and will flow to new non-equilibrium fixed points. Such fixed points are predicted to exist in arbitrarily large spatial dimensions.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct infinite families of new universality classes of fracton hydrodynamics with momentum conservation, both with multipole conservation laws and/or subsystem symmetry. | contribution 0.98 | 0.95 | 0.56 | asserted 1.00 |
| s1 | We explore the effects of broken inversion and/or time-reversal symmetry at the ideal fluid level, along with momentum relaxation. | contribution 0.97 | 0.89 | 0.06 | asserted 0.81 |
| s2 | In the case of one-dimensional multipole-conserving models, we write down explicit microscopic Hamiltonian systems realizing these new universality classes. | contribution 0.55 | 0.94 | 0.08 | asserted 1.00 |
| s3 | All of these hydrodynamic universality classes exhibit instabilities and will flow to new non-equilibrium fixed points. | result 0.93 | 0.75 | 0.37 | asserted 1.00 |
| s4 | Such fixed points are predicted to exist in arbitrarily large spatial dimensions. | result 0.65 | 0.52 | 0.18 | hedged possibility 0.67 |
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The paper
Original abstract
We construct infinite families of new universality classes of fracton hydrodynamics with momentum conservation, both with multipole conservation laws and/or subsystem symmetry. We explore the effects of broken inversion and/or time-reversal symmetry at the ideal fluid level, along with momentum relaxation. In the case of one-dimensional multipole-conserving models, we write down explicit microscopic Hamiltonian systems realizing these new universality classes. All of these hydrodynamic universality classes exhibit instabilities and will flow to new non-equilibrium fixed points. Such fixed points are predicted to exist in arbitrarily large spatial dimensions.
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References
How the literature uses it
7 arXiv papers cite this in 11 sentences
Papers citing it · 6 sentences without a confident label
Cites it as background 5 papers
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In particular, [ref] have used the fracton algebra and associated Poisson brackets in flat space to define classes of ideal and dissipative fracton hydrodynamics by postulating that only momentum gradients appear in the constitutive relations; while others [ref] have used Schwinger–Keldysh effective field theory to formulate classes of zero and finite temperature dissipative fracton hydrodynamics in flat space and mostly without conserved energy currents.
Ideal fracton superfluids · Introduction · 0.89
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Recent theoretical works have derived universal transport properties in charge- and dipole-conserving systems starting directly from effective hydrodynamic equations, with [ref] and without [ref] momentum-conservation.
Coupled Hydrodynamics in Dipole-Conserving Quantum Systems · Introduction · 0.85
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The spontaneous breaking of multipole symmetries has been recently investigated in [ref] .
Dipole symmetry breaking and fractonic Nambu-Goldstone mode · Introduction · 0.99
What it cites · 14 sentences without a confident label
Builds on 1 paper
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Below this upper critical dimension, we expect that this theory will flow towards a multipolar generalization of the KPZ fixed point, as was explained in detail for the case $n=1$ in [ref] .
Breakdown of hydrodynamics below four dimensions in a fracton fluid · Instabilities · 0.94
Uses the method or tool of 1 paper
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Following [ref] , we define a classical Poisson bracket which correctly incorporates the effects of translations on the classical fields:
Hydrodynamics of relativisic systems with broken continuous symmetries · Poisson brackets · 1.00
Cites as background 4 papers
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More recently, it has been noticed that these same phases of quantum matter give rise to novel universality classes of hydrodynamic behavior [ref] , which arise due to the conservation of exotic space-dependent conserved charges, such as the total dipole moment of a system [ref] , or the charge along lines and/or planes in a higher-dimensional lattice [ref] .
Hidden quasiconservation laws in fracton hydrodynamics · Introduction · 0.90
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More recently, it has been noticed that these same phases of quantum matter give rise to novel universality classes of hydrodynamic behavior [ref] , which arise due to the conservation of exotic space-dependent conserved charges, such as the total dipole moment of a system [ref] , or the charge along lines and/or planes in a higher-dimensional lattice [ref] .
Dynamics in Systems with Modulated Symmetries · Introduction · 0.90
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The first studies of such hydrodynamic behavior focused on the subdiffusion of a single conserved charge, which was immediately relevant for both numerical studies of random quantum circuits [ref] as well as tilted Fermi-Hubbard models in optical lattices [ref] .
Universal subdiffusion in strongly tilted many-body systems · Introduction · 0.87
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