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Localization Effects on Magnetotransport of a Disordered Weyl Semimetal
E Khalaf1, P M Ostrovsky1,2
1Max Planck Institute for Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart, Germany.
Physical Review Letters
|September 27, 2017
Summary
Localization effects in disordered Weyl semimetals are studied. A strong magnetic field significantly enhances localization of nonchiral modes, with localization length inversely proportional to the field strength.
Area of Science:
- Condensed matter physics
- Topological materials science
Background:
- Disordered Weyl semimetals exhibit unique electronic properties due to their topological nature.
- Landau levels in magnetic fields are crucial for understanding transport phenomena.
Purpose of the Study:
- To investigate longitudinal magnetotransport in disordered Weyl semimetals.
- To analyze the impact of localization effects near Weyl nodes in a magnetic field.
Main Methods:
- Exact treatment of localization effects in the vicinity of a Weyl node.
- Utilizing the nonlinear sigma-model formalism with a topological term.
- Mapping the problem to an equivalent transfer matrix Hamiltonian.
Main Results:
- A single chiral Landau level coexists with conventional nonchiral levels.
- Disorder scattering strongly mixes these modes, leading to significant localization.
- Nonchiral mode localization is greatly enhanced in strong magnetic fields (scaling as 1/B).
Conclusions:
- The study provides an exact solution for magnetotransport in disordered Weyl semimetals.
- Findings highlight the crucial role of magnetic fields in enhancing localization phenomena.
- Results offer insights into the interplay between topology, disorder, and quantum localization.
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