Transient dynamics of spin-polarized injection in helical Luttinger liquids

@article{Calzona2015TransientDO,
  title={Transient dynamics of spin-polarized injection in helical Luttinger liquids},
  author={A. Calzona and Matteo Carrega and Giacomo Dolcetto and Maura Sassetti},
  journal={Physica E-low-dimensional Systems \& Nanostructures},
  year={2015},
  volume={74},
  pages={630-636}
}
Abstract We analyze the time evolution of spin-polarized electron wave packets injected into the edge states of a two-dimensional topological insulator. In the presence of electron interactions, the system is described as a helical Luttinger liquid and injected electrons fractionalize. However, because of the presence of metallic detectors, no evidences of fractionalization are encoded in dc measurements, and in this regime the system does not show deviations from its non-interacting behavior… 

Figures from this paper

Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
We consider transport properties of a single edge of a two-dimensional topological insulators, in presence of Rashba spin-orbit coupling, driven by two external time-dependent voltages and connected
Spectral properties of interacting helical channels driven by Lorentzian pulses
Precise shaping of coherent electron sources allows the controlled creation of wavepackets into a one dimensional (1D) quantum conductor. Periodic train of Lorentzian pulses have been shown to induce
Spectral features of voltage pulses in interacting helical channels
We investigate the interplay of voltage-driven excitations and electron-electron interactions in a pair of counterpropagating helical channels capacitively coupled to a time-dependent gate. By
Probing interactions via nonequilibrium momentum distribution and noise in integer quantum Hall systems at ν=2
We consider the excitation of single-electron wave packets by means of a time dependent voltage applied to the ballistic edge channels of the integer quantum Hall effect at filling factor ν = 2. Due
Transient and Sharvin resistances of Luttinger liquids
Although the intrinsic conductance of an interacting one-dimensional system is renormalized by the electron-electron correlations, it has been known for some time that this renormalization is washed
Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
We investigate the influence of thermal effects on the relaxation dynamics of a one-dimensional quantum system of interacting fermions subject to a sudden quench of the interaction strength. It has
Charge fractionalization beyond the Luttinger liquid paradigm: An analytical consideration
In this paper we consider analytically the density evolution of a spinless Fermi liquid with nonlinear dispersion into which one particle is injected. The liquid interaction is point-like and the

References

SHOWING 1-10 OF 106 REFERENCES
Spin-polarized scanning-tunneling probe for helical Luttinger liquids.
TLDR
It is demonstrated that chiral injection of an electron into the helical Luttinger liquid (when θ is zero or π) is associated with fractionalization of the spin of the injected electron in addition to the fractions of its charge.
Charge-spin duality in nonequilibrium transport of helical liquids
Non-equilibrium transport properties of charge and spin sector of two edges of a quantum spin Hall insulator are investigated theoretically in a four-terminal configuration. A simple duality relation
Current correlations in quantum spin Hall insulators.
  • T. Schmidt
  • Physics, Medicine
    Physical review letters
  • 2011
TLDR
It is shown that different possible transport channels give rise to different signatures in the current noise and current cross correlations, which could be exploited in experiments to elucidate the interplay between electron-electron interactions and the helical nature of the edge states.
Magnetic ac control of the spin textures in a helical Luttinger liquid
We demonstrate the possibility to induce and control peculiar spin textures in a helical Luttinger liquid, by means of a time-dependent magnetic scatterer. The presence of a perturbation that breaks
Fractionalization of minimal excitations in integer quantum Hall edge channels
A theoretical study of the single electron coherence properties of Lorentzian and rectangular pulses is presented. By combining bosonization and the Floquet scattering approach, the eff ect of
Helical liquid and the edge of quantum spin Hall systems.
TLDR
A no-go theorem is proved which states that a helical liquid with an odd number of components cannot be constructed in a purely 1D lattice system.
Fractionalized wave packets from an artificial Tomonaga-Luttinger liquid.
TLDR
Time-resolved transport measurements on an artificial TLL composed of coupled integer quantum Hall edge channels are reported, in which single charge fractionalization processes are identified, informative for elucidating the nature of TLLs and low-energy excitations in the edge channels.
Signature of interaction in dc transport of ac-gated quantum spin Hall edge states
In the presence of a scattering potential, electron transport in a quantum wire is known to be dramatically modified by backward-scattering and unaffected by forward-scattering processes. We show
Fractional excitations in the Luttinger liquid
We reconsider the spectrum of the Luttinger liquid (LL) usually understood in terms of phonons (density fluctuations), and within the context of bosonization we give an alternative representation in
Measuring Fractional Charge in Carbon Nanotubes
The Luttinger model of the one-dimensional Fermi gas is the cornerstone of modern understanding of interacting electrons in one dimension. In fact, the enormous class of systems whose universal
...
1
2
3
4
5
...