Quantum impurity in an antiferromagnet: non-linear sigma model theory
Strongly Correlated Electrons
2007-05-23 v2 Superconductivity
High Energy Physics - Theory
Abstract
We present a new formulation of the theory of an arbitrary quantum impurity in an antiferromagnet, using the O(3) non-linear sigma model. We obtain the low temperature expansion for the impurity spin susceptibilities of antiferromagnets with magnetic long-range order in the ground state. We also consider the bulk quantum phase transition in d=2 to the gapped paramagnet (d is the spatial dimension): the impurity is described solely by a topological Berry phase term which is an exactly marginal perturbation to the critical theory. The physical properties of the quantum impurity near criticality are obtained by an expansion in (d-1).
Cite
@article{arxiv.cond-mat/0303001,
title = {Quantum impurity in an antiferromagnet: non-linear sigma model theory},
author = {Subir Sachdev and Matthias Vojta},
journal= {arXiv preprint arXiv:cond-mat/0303001},
year = {2007}
}
Comments
14 pages, 7 figures; (v2) added ref