Gaugefree duality in pure square spin ice: Topological currents and monopoles
Abstract
We consider pure square spin ice, that is, square ice, where only nearest neighbors are coupled. The gaugefree duality between the perpendicular and collinear structure leads to a natural description in terms of topological currents and charges as the relevant degrees of freedom. That, in turn, can be expressed via a continuous field theory where the discrete spins are subsumed into entropic interactions among charges and currents. This approach produces structure factors, correlations, and susceptibilities for spins, monopoles, and currents. It also generalizes the height formalism of the disordered ground state to nonzero temperature. The framework can be applied to the zoology of recent experimental results, especially realizations on quantum annealers, and can be expanded to include longer range interactions.
 Publication:

AIP Advances
 Pub Date:
 October 2021
 DOI:
 10.1063/5.0070545
 arXiv:
 arXiv:2109.03197
 Bibcode:
 2021AIPA...11j5313N
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 18 pages, double column, 9 Figures, 99 references, preprint. arXiv admin note: text overlap with arXiv:2004.03735