Low-energy electronic properties of Weyl semimetal quantum dot

Abstract

It is necessary to study the properties of Weyl semimetal nanostructures for potential applications in nanoelectronics. Here we study the Weyl semimetal quantum dot with a most simple model Hamiltonian with only two Weyl points. We focus on the low-energy electronic structure and show the correspondence to that of three-dimensional Weyl semimetal, such as Weyl point and Fermi arc. We find that there exist both surface and bulk states near Fermi level. The direct gap of bulk states reaches the minimum with the location determined by Weyl point. There exists a quantum number with only several values supporting surface states, which is the projection of Fermi arc. The property of surface state is studied in detail, including circular persistent current, orbital magnetic moment, and chiral spin polarization. Surface states will be broken by a strong magnetic field and evolve into Landau levels gradually. Simple expressions are derived to describe the energy spectra and electronic properties of surface states both in the presence and absence of magnetic field. In addition, this study may help design a method to verify Weyl semimetal by separating out the signal of surface states since quantum dot has the largest surface-to-volume ratio.

References in corpus (11)

• Topological Semimetals
• Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
• Chiral anomaly and transport in Weyl metals
• Photocurrents in Weyl semimetals
• Quantum oscillations, thermoelectric coefficients and the Fermi surface of semi-metallic WTe2
• Discovery of a new type of topological Weyl fermion semimetal state in Mo${}_x$W${}_{1-x}$Te${}_2$
• Electron scattering in tantalum monoarsenide
• Double Andreev Reflections in Type-II Weyl Semimetal-Superconductor Junctions
• Quantum dot behavior in transition metal dichalcogenides nanostructures
• Quantum Transport in Weyl Semimetal Thin Films in the Presence of Spin-Orbit Coupled Impurities
• Magnetotransport in Weyl semimetal nanowires

Cited by in corpus (3)

• Localized spin-orbit polaron in magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Field theory approach to the quantum transport in Weyl semimetals
• Anomalous spin Nernst effect in Weyl semimetals