Existence of replica-symmetry breaking in quantum glasses
Disordered Systems and Neural Networks
2021-11-16 v4 Mathematical Physics
math.MP
Abstract
By controlling quantum fluctuations via the Falk-Bruch inequality we give the first rigorous argument for the existence of a spin-glass phase in the quantum Sherrington-Kirkpatrick model with a transverse magnetic field if the temperature and the field are sufficiently low. The argument also applies to the generalization of the model with multi-spin interactions, sometimes dubbed as transverse -spin model.
Keywords
Cite
@article{arxiv.2106.00500,
title = {Existence of replica-symmetry breaking in quantum glasses},
author = {Hajo Leschke and Chokri Manai and Rainer Ruder and Simone Warzel},
journal= {arXiv preprint arXiv:2106.00500},
year = {2021}
}
Comments
Argument extended up to the zero-field critical temperature; publication information added