31,164 research outputs found
Geodesic scattering by surface deformations of a topological insulator
We consider the classical ballistic dynamics of massless electrons on the
conducting surface of a three-dimensional topological insulator, influenced by
random variations of the surface height. By solving the geodesic equation and
the Boltzmann equation in the limit of shallow deformations, we obtain the
scattering cross section and the conductivity {\sigma}, for arbitrary
anisotropic dispersion relation. At large surface electron densities n this
geodesic scattering mechanism (with {\sigma} propto sqrt{n}) is more effective
at limiting the surface conductivity than electrostatic potential scattering.Comment: 9 pages, 5 figure
An alternative non-Markovianity measure by divisibility of dynamical map
Identifying non-Markovianity with non-divisibility, we propose a measure for
non-Markovinity of quantum process. Three examples are presented to illustrate
the non-Markovianity, measure for non-Markovianity is calculated and discussed.
Comparison with other measures of non-Markovianity is made. Our
non-Markovianity measure has the merit that no optimization procedure is
required and it is finite for any quantum process, which greatly enhances the
practical relevance of the proposed measure.Comment: 6 pages, 3 figue
Entanglement detection beyond the CCNR criterion for infinite-dimensions
In this paper, in terms of the relation between the state and the reduced
states of it, we obtain two inequalities which are valid for all separable
states in infinite-dimensional bipartite quantum systems. One of them provides
an entanglement criterion which is strictly stronger than the computable
cross-norm or realignment (CCNR) criterion.Comment: 11 page
Competing topological and Kondo insulator phases on a honeycomb lattice
We investigate the competition between the spin-orbit interaction of
itinerant electrons and their Kondo coupling with local moments densely
distributed on the honeycomb lattice. We find that the model at half-filling
displays a quantum phase transition between topological and Kondo insulators at
a nonzero Kondo coupling. In the Kondo-screened case, tuning the electron
concentration can lead to a new topological insulator phase. The results
suggest that the heavy-fermion phase diagram contains a new regime with a
competition among topological, Kondo-coherent and magnetic states, and that the
regime may be especially relevant to Kondo lattice systems with -conduction
electrons. Finally, we discuss the implications of our results in the context
of the recent experiments on SmB implicating the surface states of a
topological insulator, as well as the existing experiments on the phase
transitions in SmB under pressure and in CeNiSn under chemical pressure.Comment: (v3) Published version including the main text (5 pages + 4 figures)
and a supplementary material discussing the effects of quantum fluctuations
of the slave bosons and antiferromagnetic ordering of the local moments on
the transitions among the Kondo, magnetic and topological state
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