Quantum impurity in an antiferromagnet: non-linear sigma model theory

Details Quantum impurity in an antiferromagnet: non-linear sigma model theory Quantum impurity in an antiferromagnet: non-linear sigma model theory

2003-03-03

arxiv.org/abs/cond-mat/0303001v2

Phys.Rev. B68 (2003) 064419

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 7 figures; (v2) added ref

Scientific paper

10.1103/PhysRevB.68.064419

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).

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