Quantum clock models with infinite-range interactions
Abstract
We study the phase diagram, both at zero and finite temperature, in a class of models with infinite range interactions. We are able to identify the transitions between a symmetry-breaking and a trivial phase by using a mean-field approach and a perturbative expansion. We perform our analysis on a Hamiltonian with -body interactions and we find first-order transitions for any ; in the case , the transitions are first-order for and second-order otherwise. In the infinite-range case there is no trace of gapless incommensurate phase but, when the transverse field is maximally chiral, the model is in a symmetry-breaking phase for arbitrarily large fields. We analytically study the transtion in the limit of infinite , where the model possesses a continuous symmetry.
Cite
@article{arxiv.2002.10494,
title = {Quantum clock models with infinite-range interactions},
author = {Adu Offei-Danso and Federica Maria Surace and Fernando Iemini and Angelo Russomanno and Rosario Fazio},
journal= {arXiv preprint arXiv:2002.10494},
year = {2020}
}