%0 Journal Article %1 shenoy2020knfractonic %A Shenoy, Vijay B. %A Moessner, Roderich %D 2020 %I American Physical Society %J Phys. Rev. B %K a b %N 8 %P 085106 %R 10.1103/PhysRevB.101.085106 %T (k,n)-fractonic Maxwell theory %U https://link.aps.org/doi/10.1103/PhysRevB.101.085106 %V 101 %X Fractons emerge as charges with reduced mobility in a class of gauge theories. Here, we generalize fractonic theories of U(1) type to what we call (k,n)-fractonic Maxwell theory, which employs symmetric rank-n tensors of k forms (rank-k antisymmetric tensors) as “vector potentials.” The generalization, valid in any spatial dimension d, has two key manifestations. First, the objects with mobility restrictions extend beyond simple charges to higher-order multipoles (dipoles, quadrupoles, etc.) all the way to (n−1)th-order multipoles, which we call the order-n fracton condition. Second, these fractonic charges themselves are characterized by tensorial densities of (k−1)-dimensional extended objects. For any (k,n), the theory can be constructed to have a gapless “photon modes” with dispersion ω∼|q|z, where the integer z can range from 1 to n.

@article{shenoy2020knfractonic, abstract = {Fractons emerge as charges with reduced mobility in a class of gauge theories. Here, we generalize fractonic theories of U(1) type to what we call (k,n)-fractonic Maxwell theory, which employs symmetric rank-n tensors of k forms (rank-k antisymmetric tensors) as “vector potentials.” The generalization, valid in any spatial dimension d, has two key manifestations. First, the objects with mobility restrictions extend beyond simple charges to higher-order multipoles (dipoles, quadrupoles, etc.) all the way to (n−1)th-order multipoles, which we call the order-n fracton condition. Second, these fractonic charges themselves are characterized by tensorial densities of (k−1)-dimensional extended objects. For any (k,n), the theory can be constructed to have a gapless “photon modes” with dispersion ω∼|q|z, where the integer z can range from 1 to n.}, added-at = {2020-03-23T14:20:08.000+0100}, author = {Shenoy, Vijay B. and Moessner, Roderich}, biburl = {https://www.bibsonomy.org/bibtex/2febeb771961528a74d2d7a82ea8293c8/ctqmat}, day = 06, description = {Phys. Rev. B 101, 085106 (2020) - $(k,n)$-fractonic Maxwell theory}, doi = {10.1103/PhysRevB.101.085106}, interhash = {2bf0bc1dcaa7d74e191afbe0ff2c5ca3}, intrahash = {febeb771961528a74d2d7a82ea8293c8}, journal = {Phys. Rev. B}, keywords = {a b}, month = {02}, number = 8, numpages = {7}, pages = 085106, publisher = {American Physical Society}, timestamp = {2023-10-31T15:32:43.000+0100}, title = {(k,n)-fractonic Maxwell theory}, url = {https://link.aps.org/doi/10.1103/PhysRevB.101.085106}, volume = 101, year = 2020 }