Critical behavior of quantum magnets with long-range interactions in the thermodynamic limit
Strongly Correlated Electrons
2016-09-06 v2
Abstract
Quasiparticle properties of quantum magnets with long-range interactions are investigated by high-order linked-cluster expansions in the thermodynamic limit. It is established that perturbative continuous unitary transformations on white graphs are a promising and flexible approach to treat long-range interactions in quantum many-body systems. We exemplify this scheme for the one-dimensional transverse-field Ising chain with long-range interactions. For this model the elementary Quasiparticle gap is determined allowing to access the quantum-critical regime including critical exponents and multiplicative logarithmic corrections for the ferro- and antiferromagnetic case.
Keywords
Cite
@article{arxiv.1606.05111,
title = {Critical behavior of quantum magnets with long-range interactions in the thermodynamic limit},
author = {S. Fey and K. P. Schmidt},
journal= {arXiv preprint arXiv:1606.05111},
year = {2016}
}