Towards a microscopic model for an electronic quantum charge liquid
Abstract
We provide a route to constructing an electronic quantum charge liquid (QCL), a state made up of fermions at fractional filling of a lattice that does not break translation. Starting with spinless fermions at filling we pair them to get bosons at filling per unit cell. The tetramer model, a generalization of the dimer model, on the square lattice is evaluated as a candidate bosonic QCL at filling . It is shown that these models exhibit a local symmetry. Upon numerical study of a family of tetramer wavefunctions it is found that while one is gapless due to symmetry at least one other can be definitively shown to be gapped. The gapped nature of this state, along with its symmetry, leads us to propose that it is an example of the elusive bosonic QCL displaying the minimal topological order. We conclude by discussing possible extensions to other lattice geometries, electronic QCLs, and to Rydberg atoms.
Keywords
Cite
@article{arxiv.2604.25992,
title = {Towards a microscopic model for an electronic quantum charge liquid},
author = {Jacob R. Taylor and Sankar Das Sarma and Seth Musser},
journal= {arXiv preprint arXiv:2604.25992},
year = {2026}
}
Comments
8 pages, 6 figures