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Nodal points of Weyl semimetals survive the presence of moderate disorder
- Publication Year :
- 2018
- Publisher :
- American Physical Society, 2018.
-
Abstract
- In this work we address the physics of individual three dimensional Weyl nodes subject to a moderate concentration of disorder. Previous analysis indicates the presence of a quantum phase transition below which disorder becomes irrelevant and the integrity of sharp nodal points of vanishing spectral density is preserved in this system. This statement appears to be at variance with the inevitable presence of statistically rare fluctuations which cannot be considered as weak and must have strong influence on the system's spectrum, no matter how small the average concentration. We here reconcile the two pictures by demonstrating that rare fluctuation potentials in the Weyl system generate a peculiar type of resonances which carry spectral density in any neighborhood of zero energy, but never at zero. In this way, the vanishing of the DoS for weak disorder survives the inclusion of rare events. We demonstrate this feature by considering three different models of disorder, each emphasizing specific aspects of the problem: a simplistic box potential model, a model with Gaussian distributed disorder, and one with a finite number of $s$-wave scatterers. Our analysis also explains why the protection of the nodal DoS may be difficult to see in simulations of finite size lattices.<br />13+3 pages, 4 figures
- Subjects :
- Physics
Quantum phase transition
Quantum Physics
Gaussian
Spectrum (functional analysis)
FOS: Physical sciences
Zero-point energy
Spectral density
Disordered Systems and Neural Networks (cond-mat.dis-nn)
02 engineering and technology
Condensed Matter - Disordered Systems and Neural Networks
021001 nanoscience & nanotechnology
01 natural sciences
symbols.namesake
Cardinal point
0103 physical sciences
Rare events
symbols
Statistical physics
Quantum Physics (quant-ph)
010306 general physics
0210 nano-technology
Finite set
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....a71f3a06cbe8d79ac30486e7cbd0dc62