Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
By M. Pretko. 2016
307 citations recorded by the source corpus.
Spin liquids are conventionally described by gauge theories with a vector gauge field. However, there exists a wider class of spin liquids with higher rank tensors as the gauge variable. In this work, we focus on (3+1)-dimensional spin liquids described by U(1) symmetric tensor gauge theories, which have recently been shown to be stable gapless spin liquids. We investigate the particle structure of these tensor gauge theories and find that they have deep connections with the “fracton” models recently discovered by Vijay, Haah, and Fu. Tensor gauge theories have more conservation laws than the simple charge conservation law of rank 1 theories. These conservation laws place severe restrictions on the motion of particles. Particles in some models are fully immobile (fractons), while other models have particles restricted to motion along lower-dimensional subspaces.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/4f23593ef6279447fbbf8e15b2b3548fef682dcf
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Towards Classification of Fracton Phases: The Multipole Algebra (2018, background): “The charge configurations for these theories have been discussed previously [12].”
- Fracton phases of matter (2020, background): “The next major advance in the understanding of fractons came with the realization by one of the present authors (MP) that the restricted mobility of fractons can be naturally understood in terms of a set of higher moment conservation laws, which often arise as a consequence of an emergent symmetric ”
- Localization in Fractonic Random Circuits (2018, background): “[31] Michael Pretko, “Subdimensional particle structure of higher rank u(1) spin liquids,” Phys.”
- Fractons (2018, background): “We emphasize that other tensor gauge theories with finite-energy fracton excitations have been identified; an example is the so-called traceless vector charge theory in three dimensions [13].”
- Statistical localization: From strong fragmentation to strong edge modes (2019, background): “Such dipoleconserving Hamiltonians appear as effective descriptions in a variety of settings, such as fracton systems [49, 86], the quantum Hall effect [47, 87–90], and for charged particles in a strong electric field [32, 91].”
- Generalized Symmetries in Condensed Matter (2022, unknown): “A closely-related concept is that of multipole symmetries ( e.g. (73, 74, 75, 76, 77, 78)).”
- Ergodicity Breaking Arising from Hilbert Space Fragmentation in Dipole-Conserving Hamiltonians (2019, methodology): “Thus, in order to conserve the total dipole moment, a fracton can only move by emitting dipoles [54, 71].”
- Localization from Hilbert space shattering: From theory to physical realizations (2020, background): “While much work on fractons has focused on exactly solvable spin models in 3D (which realize gapped fractonic phases), a useful complementary perspective on gapless fracton phases is provided by ‘higher-rank’ gauge theories that conserve not only a U(1) charge, but also higher multipoles of charge [”
- Fracton hydrodynamics (2020, background): “[51] Michael Pretko, “Subdimensional particle structure of higher rank U(1) spin liquids,” Physical Review B 95, 115139 (2017).”