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Inelastic electron backscattering in a generic helical edge channel
Thomas L Schmidt1, Stephan Rachel, Felix von Oppen
1Department of Physics, Yale University, 217 Prospect Street, New Haven, Connecticut 06520, USA.
We found that a specific quantum system
Area of Science:
- Condensed matter physics
- Quantum mechanics
- Materials science
Background:
- One-dimensional helical liquids are exotic states of matter.
- Axial spin symmetry is often assumed in these systems.
- Understanding conductance deviations is crucial for quantum devices.
Purpose of the Study:
- To investigate low-temperature conductance in a system lacking axial spin symmetry.
- To analyze the impact of inelastic electron scattering on conductance.
- To model the behavior using the Bernevig-Hughes-Zhang Hamiltonian.
Main Methods:
- Numerical evaluation of low-temperature conductance.
- Analysis of electron scattering mechanisms (inelastic backscattering and forward scattering).
- Modeling using the Bernevig-Hughes-Zhang Hamiltonian for HgTe/CdTe quantum wells.
Main Results:
- A temperature-dependent deviation from quantized conductance (δG ∝ T4) was observed.
- This deviation arises from combined weak interactions and impurity scattering.
- The conductance deviation is sensitive to the Fermi level position.
Conclusions:
- The absence of axial spin symmetry leads to unique conductance properties.
- The findings provide insights into electron transport in topological materials.
- The model accurately describes experimental parameters in HgTe/CdTe quantum wells.
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