Order fractionalization and the two channel Kondo lattice
ORAL
Abstract
The symmetric two-
channel Kondo lattice, involving two separate conduction electron seas, inter-
acting with a lattice of local moments, provides an idealized model for the
novel cubic heavy electron superconductors, PrX2Al20, (X=Ti, Va) and UBe13.
There are many indications that two-channel Kondo lattice is unstable to the
development of broken channel symmetry, in which the Kondo effect develops
selectively in one channel giving rise to a \channel magnetization" We study
this novel phase using the large N expansion. One of the remarkable features
of the resulting mean-field theory, is the emergence of a two-component spinor
describing the channel magnetization, suggesting the possibility of order frac-
tionalization. Using the large N expansion, we show that the long-wavelength
physics of the two-channel Kondo lattice is described by the principle chiral
model, in which the skyrmion density of the channel magnetization couples to
the difference of the electromagnetic and internal gauge fields. We will discuss
the implications of these results for the order fractionalization conjecture and
possible observable consequences.
channel Kondo lattice, involving two separate conduction electron seas, inter-
acting with a lattice of local moments, provides an idealized model for the
novel cubic heavy electron superconductors, PrX2Al20, (X=Ti, Va) and UBe13.
There are many indications that two-channel Kondo lattice is unstable to the
development of broken channel symmetry, in which the Kondo effect develops
selectively in one channel giving rise to a \channel magnetization" We study
this novel phase using the large N expansion. One of the remarkable features
of the resulting mean-field theory, is the emergence of a two-component spinor
describing the channel magnetization, suggesting the possibility of order frac-
tionalization. Using the large N expansion, we show that the long-wavelength
physics of the two-channel Kondo lattice is described by the principle chiral
model, in which the skyrmion density of the channel magnetization couples to
the difference of the electromagnetic and internal gauge fields. We will discuss
the implications of these results for the order fractionalization conjecture and
possible observable consequences.
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Presenters
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Ari Wugalter
Physics and Astronomy, Rutgers, The State University of New Jersey
Authors
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Ari Wugalter
Physics and Astronomy, Rutgers, The State University of New Jersey
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Yashar Komijani
Physics and Astronomy, Rutgers, The State University of New Jersey, Department of Physics, Rutgers University
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Piers Coleman
Physics and Astronomy, Rutgers, The State University of New Jersey, Center for Materials Theory, Rutgers University, Rutgers University, New Brunswick, Rutgers University, Piscataway NJ