Difficulties in operator-based formulation of the bulk quadrupole moment
Strongly Correlated Electrons
2019-12-24 v3 Mesoscale and Nanoscale Physics
Other Condensed Matter
Abstract
Electric multipole moments are the most fundamental properties of insulating materials. However, the general formulation of bulk multipoles has been a long standing problem. The solution for the electric dipole moment was provided decades ago by King-Smith, Vanderbilt, and Resta. Recently, there have been attempts at generalizing Resta's formula to higher-order multipoles. We point out several issues in the recent proposals.
Cite
@article{arxiv.1902.07508,
title = {Difficulties in operator-based formulation of the bulk quadrupole moment},
author = {Seishiro Ono and Luka Trifunovic and Haruki Watanabe},
journal= {arXiv preprint arXiv:1902.07508},
year = {2019}
}
Comments
7 pages, 4 figures, 4 table; v3: the version to appear in Phys. Rev. B