Effects of energy extensivity on the quantum phases of long-range interacting systems
Abstract
We investigate the ground state properties of one-dimensional hard-core bosons interacting via a variable long-range potential using the density matrix renormalization group. We demonstrate that restoring energy extensivity in the system, which is done by rescaling the interaction potential with a suitable size-dependent factor known as Kac's prescription, has a profound influence on the low-energy properties in the thermodynamic limit. While an insulating phase is found in the absence of Kac's rescaling, the latter leads to a new metallic phase that does not fall into the conventional Luttinger liquid paradigm. Our results in one dimension illustrate the subtlety of determining the thermodynamic properties of generic long-range quantum systems.
Keywords
Cite
@article{arxiv.1909.12105,
title = {Effects of energy extensivity on the quantum phases of long-range interacting systems},
author = {Thomas Botzung and David Hagenmüller and Guido Masella and Jérôme Dubail and Nicolò Defenu and Andrea Trombettoni and Guido Pupillo},
journal= {arXiv preprint arXiv:1909.12105},
year = {2021}
}