Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story
By M. Pretko. 2016
208 citations recorded by the source corpus.
It has recently been shown that there exists a class of stable gapless spin liquids in 3+1 dimensions described by higher-rank tensor U(1) gauge fields, giving rise to an emergent tensor electromagnetism. The tensor gauge field of these theories couples naturally to subdimensional particles (such as fractons), which are restricted by gauge invariance to move only along lower-dimensional subspaces of the system. Here we work out some of the basic generalized electromagnetic properties of subdimensional particles coupled to tensor electromagnetism, such as generalized electrostatic fields, potential formulations, Lorentz forces, Maxwell equations, and Biot-Savart laws. Some concepts from conventional electromagnetism will carry over directly, while others require significant modification.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Electronic, Optical and Magnetic Materials
View Paper: https://www.semanticscholar.org/paper/5f6c6b4ff011387b3cce9e0432cf5196fd78e9af
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
In Electronic, Optical and Magnetic Materials
Citations in the corpus
- Localization from Hilbert space shattering: From theory to physical realizations (2020, background): “[33] Michael Pretko, “Generalized electromagnetism of sub-”
- 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 ”
- Fractons (2018, background): “Unlike the scalar electric charge, the magnetic charge transforms as a vector [14].”
- Fracton hydrodynamics (2020, background): “Nevertheless, analogies with electromagnetism are useful [27, 50] and will lead to the correct analytical framework for hydrodynamics.”
- Localization in Fractonic Random Circuits (2018, background): “[32] Michael Pretko, “Generalized electromagnetism of subdimensional particles: A spin liquid story,” Phys.”