Unifying Kondo coherence and antiferromagnetic ordering in the honeycomb lattice
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Saremi-2011-Unifying Kondo coher.pdf
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Author(s)
Saremi, Saeed
Lee, Patrick A.
Senthil, Todadri
Date Issued
March 2011
Journal
Physical review B
Publisher
American Physical Society
Citation
Saremi, Saeed, Patrick Lee, and T. Senthil. “Unifying Kondo Coherence and Antiferromagnetic Ordering in the Honeycomb Lattice.” Physical Review B 83.12 (2011) : n. pag. ©2011 American Physical Society
Version
Final published version
Abstract
In this paper, we describe a mechanism by which the destruction of the Kondo coherence at the same time
gives rise to antiferromagnetic ordering. This picture is in contrast to the Doniach picture of the competition
of Kondo coherence and antiferromagentic ordering. Our study is done in the honeycomb lattice at half-filling,
where Kondo coherence gives rise to a Kondo insulator.We go beyond mean-field (largeN) formulation of Kondo
coherence in Kondo lattices and consider excitations we call Kondo vortices. A Kondo vortex is a configuration
where at its core the Kondo amplitude vanishes while far away from the core it retains the uniform Kondo
amplitude. A Kondo vortex in our model brings four zero modes to the chemical potential. The zero modes play
a crucial role as they allow us to construct spin-1 operators. We further study the transformation of these spin-1
Kondo vortex operators under various symmetry transformations of the Kondo Hamiltonian and find a class of
operators that transform like an antiferromagnetic order parameter. This gives a novel picture of how one can
create antiferromagnetic ordering by proliferating Kondo vortices inside a Kondo coherent phase. We finish by
studying the universality class of this Kondo vortex mediated antiferromagnetic transition and conclude that it is
in the O(3) universality class.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.83.125120
