Transport in helical Luttinger Liquid with Kondo impurities
arXiv:1503.03348 · doi:10.1209/0295-5075/112/57003
Abstract
Ballistic transport of helical edge modes in two-dimensional topological insulators is protected by time-reversal symmetry. Recently it was pointed out [1] that coupling of non-interacting helical electrons to an array of randomly anisotropic Kondo impurities can lead to a spontaneous breaking of the symmetry and, thus, can remove this protection. We have analyzed effects of the interaction between the electrons using a combination of the functional and the Abelian bosonization approaches. The suppression of the ballistic transport turns out to be robust in a broad range of the interaction strength. We have evaluated the renormalization of the localization length and have found that, for strong interaction, it is substantial. We have identified various regimes of the dc transport and discussed its temperature and sample size dependencies in each of the regimes.
6 pages, 2 figures
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- Helical edge transport in the presence of a magnetic impurity: the role of local anisotropy
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- Noiseless manipulation of helical edge state transport by a quantum magnet
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- Low Energy Properties of the Kondo chain in the RKKY regime
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- Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples
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- Analytical and Numerical study of the out-of-equilibrium current through a helical edge coupled to a magnetic impurity
- Helical liquid in carbon nanotubes wrapped with DNA molecules
- Suppression of ballistic helical transport by isotropic dynamical magnetic impurities
- Two-channel Kondo problem in coupled interacting helical liquids
- RKKY to Kondo crossover in Helical Edge of a Topological Insulator
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- Transport in Magnetically Doped One-Dimensional Wires: Can the Helical Protection Emerge without the Global Helicity?
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- Dissipative Hot-spot Enabled Shock and Bounce Dynamics via Terahertz Quantum Quenches in Helical Edge States
- Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm
- Dominant superconducting correlations in a Luttinger liquid induced by spin fluctuations