Kondo lattice on the edge of a two-dimensional topological insulator

@article{Maciejko2012KondoLO,
  title={Kondo lattice on the edge of a two-dimensional topological insulator},
  author={Joseph Maciejko},
  journal={Physical Review B},
  year={2012},
  volume={85}
}
  • J. Maciejko
  • Published 30 March 2012
  • Physics
  • Physical Review B
We revisit the problem of a single quantum impurity on the edge of a two-dimensional time-reversal invariant topological insulator and show that the zero temperature phase diagram contains a large local moment region for antiferromagnetic Kondo coupling which was missed by previous poor man's scaling treatments. The combination of an exact solution at the so-called decoupling point and a renormalization group analysis \`a la Anderson-Yuval-Hamann allows us to access the regime of strong… 

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References

SHOWING 1-10 OF 50 REFERENCES
Topological insulators and Mott physics from the Hubbard interaction
We investigate the Hubbard model on the honeycomb lattice with intrinsic spin orbit interactions as a paradigm for two-dimensional topological band insulators in the presence of interactions.
Effects of interaction on quantum spin Hall insulators.
TLDR
The S(z)-conserving quantum spin Hall insulator in the presence of Hubbard U is studied from a field theory point of view to find that for arbitrarily small U the edges possess power-law correlated antiferromagnetic XY local moments.
The ground-state phase diagram of the one-dimensional Kondo lattice model
The periodic Anderson and Kondo lattice model describe the physics of conduction electrons in extended orbitals interacting with strongly correlated electrons in localized orbitals. These models are
Mott physics on helical edges of two-dimensional topological insulators
We study roles of electron correlations on topological insulators on the honeycomb lattice with the spin-orbit interaction. Accurate variational Monte Carlo calculations show that the increasing
Kondo effect in the helical edge liquid of the quantum spin Hall state.
TLDR
The edge conductance of a QSH insulator as a function of temperature in the presence of a magnetic impurity is calculated using linear response and renormalization group methods.
Solution of an orbital Kondo array.
TLDR
A solvable model of a one-dimensional electron gas interacting with an array of dynamical scattering centers, whose state is specified by a pseudospin variable, which is reminiscent of the normal state of the high-temperature superconductors.
Nonlocal Transport in the Quantum Spin Hall State
TLDR
The data confirm that the quantum transport through the (helical) edge channels is dissipationless and that the contacts lead to equilibration between the counterpropagating spin states at the edge, which agree quantitatively with the theory of the quantum spin Hall effect.
Semiclassical solution of one dimensional model of Kondo insulator.
  • Tsvelik
  • Physics
    Physical review letters
  • 1994
The model of a Kondo chain with an M-fold degenerate band of conduction electrons of spin 1/2 at half filling interacting with localized spins S is studied. It is shown that in the continuous limit
Magnetic Response in Quantized Spin Hall Phase of Correlated Electrons
We investigate the magnetic response in the quantized spin Hall (SH) phase of a layered-honeycomb lattice system with intrinsic spin–orbit coupling λ SO and on-site Hubbard U . The response is
Stability of the quantum spin Hall effect: Effects of interactions, disorder, and Z 2 topology
The stability to interactions and disorder of the quantum spin Hall effect (QSHE) proposed for time-reversal-invariant 2D systems is discussed. The QSHE requires an energy gap in the bulk and gapless
...
...