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Quantum Dots Formed in Three-dimensional Dirac Semimetal Cd3As2 Nanowires

MetadataDetails
Publication Date2018-02-23
JournalNano Letters
AuthorsMinkyung Jung, Kenji Yoshida, Kidong Park, Xiao-Xiao Zhang, Can Yesilyurt
InstitutionsNational University of Singapore, Daegu Gyeongbuk Institute of Science and Technology
Citations20
AnalysisFull AI Review Included

6CCVD Technical Documentation: Quantum Dot Confinement in Dirac Semimetals

Section titled “6CCVD Technical Documentation: Quantum Dot Confinement in Dirac Semimetals”

This research demonstrates a significant breakthrough in quantum device physics: the robust formation of a single quantum dot (QD) in a 3D Dirac semimetal ($\text{Cd}{3}\text{As}{2}$) nanowire. This work addresses the critical challenge of quantum confinement in gapless materials.

FeatureAchievement6CCVD Relevance
QD FormationSingle p-type QD confirmed by clear Coulomb diamonds.Requires ultra-stable, high-purity substrates for clean quantum transport.
Confinement MechanismSuppression of Klein tunneling via strong magnetic fields ($B \ge 8 \text{ T}$).Experiments require robust, high-mobility platforms compatible with extreme cryogenic and magnetic environments.
Device ArchitectureElectrostatically tuned $\text{n*}-\text{p}-\text{n*}$ junction using a global backgate and nanoscale $\text{Ti}/\text{Au}$ contacts.6CCVD specializes in custom metalized diamond substrates, ideal for integrating complex back-gating schemes and providing optimal thermal anchoring.
Operational EnvironmentUltra-low temperature ($300 \text{ mK}$) and high field ($9 \text{ T}$) required for stable observation.Diamond’s superior thermal properties are essential for managing heat dissipation and stabilizing QD states in cryogenic quantum systems.
ImpactOpens a new route for designing quantum devices (QDs, QPCs) based on Dirac/Weyl semimetals.Drives demand for high-quality, customized diamond materials necessary for next-generation quantum engineering.

The following hard parameters define the operational conditions and device characteristics required for observing stable quantum confinement in the $\text{Cd}{3}\text{As}{2}$ nanowires:

ParameterValueUnitContext
Measurement Temperature ($T$)$\sim 300 \text{ mK}$KExtremely low temperature required for resolving Coulomb blockade effects.
Critical Magnetic Field ($B$)$8-9$TField strength required to suppress Klein tunneling and induce cyclotron motion.
Nanowire Diameter$60-100$nmTypical size range of the active $\text{Cd}{3}\text{As}{2}$ nanowire segment.
Channel Length$\sim 250$nmSeparation distance between the source and drain metal contacts.
Electron Mobility ($\mu_{e}$)$1300$$\text{cm}^{2}/\text{Vs}$Measured in the n-regime (significantly higher than hole mobility).
Hole Mobility ($\mu_{h}$)$220$$\text{cm}^{2}/\text{Vs}$Measured in the p-regime.
Dirac Peak Gate Voltage ($\text{V}_{G}$)$\sim -2.5$VLocation of the ambipolar transition point.
Metal Contact Stack$\text{Ti}/\text{Au}$ ($5/100$)nmThicknesses of Titanium and Gold used for ohmic source/drain contacts.
Addition Energy ($\text{E}_{\text{add}}$)$2-4$meVEnergy required to add a single hole to the QD.
Zeeman Energy Shift ($\text{E}_{Z}$)$\sim 8.35$meVCalculated shift at $B=9 \text{ T}$ due to large g-factor in $\text{Cd}{3}\text{As}{2}$.

The experiment successfully combined specialized material growth with cryogenic high-field transport measurements and precision nanofabrication.

  1. Source Material: $\text{Cd}{3}\text{As}{2}$ powder ($99%$, Alfa Aesar) placed in ceramic boats.
  2. Catalyst: Silicon substrate coated with $1 \text{ mM } \text{BiI}_{3}$ ($99.999%$) solution to form Bi catalytic nanoparticles.
  3. Growth Parameters:
    • Powder source temperature: $450^\circ\text{C}$.
    • Substrate temperature: $\sim 350^\circ\text{C}$.
    • Atmosphere: Argon gas supplied at $200 \text{ sccm}$ under ambient pressure.
  4. Growth Orientation: Nanowires grew preferentially along the [112] direction.
  1. Substrate & Gate: Nanowires transferred onto a highly doped $\text{p}^{++}$ silicon substrate acting as a global backgate, insulated by $300 \text{ nm}$-thick $\text{SiO}_{2}$.
  2. Oxide Removal: An Ar plasma etch was used prior to contact deposition to remove the native oxide layer on the nanowire surface.
  3. Contact Metalization: $\text{Ti}/\text{Au}$ ($5 \text{ nm}/\text{100 nm}$) source and drain contacts fabricated, separated by $250 \text{ nm}$.
  4. Measurement Environment:
    • Temperature: $T \sim 300 \text{ mK}$.
    • Magnetic Field ($B$): Applied perpendicularly (up to $9 \text{ T}$) to the nanowire axis to induce cyclotron motion.
  1. Electrostatic Junction: Applying $\text{V}_{G} < -2.5 \text{ V}$ forms an $\text{n*}-\text{p}-\text{n*}$ junction, creating a p-type Quantum Dot (QD) cavity between n-type leads.
  2. Klein Tunneling Suppression: At $B \ge 8 \text{ T}$, the transverse Lorentz force bends the Dirac fermion trajectories at the $\text{p-n}$ interfaces, dramatically reducing transmission probability (suppressing Klein tunneling) and forming resistive tunnel barriers.

This research into Dirac semimetal quantum confinement, requiring extreme stability, precision metalization, and cryogenic compatibility, aligns perfectly with 6CCVD’s advanced MPCVD diamond product line.

To replicate or extend this research—especially toward higher integration density or more stable thermal operation—6CCVD recommends:

6CCVD MaterialApplication in Quantum TransportKey Benefit
Optical Grade SCDSubstrates for heterostructures and nanowire growth/transfer.Cryogenic Stability: Provides exceptional thermal conductivity (up to $2000 \text{ W}/\text{mK}$), crucial for thermal anchoring and stable QD measurements at $300 \text{ mK}$.
High Purity SCDPlatform for NV-center integration or low-noise measurements.Surface Quality: Achievable polishing of $\text{Ra} < 1 \text{ nm}$ minimizes random potential fluctuations (UCFs) that contaminate sensitive transport data.
Boron-Doped Diamond (BDD)Custom metallic gates, robust leads, or high-conductivity contact areas.Conductivity Control: BDD offers tunable metallic properties, ideal for creating precise, low-resistance electrodes for probing semimetal devices.
PCD Wafers (Inch Size)Large-scale integration of quantum point contact (QPC) arrays.Scalability: Inch-size PCD wafers ($\text{up to } 125 \text{ mm}$) with $\text{Ra} < 5 \text{ nm}$ polishing support pilot-scale quantum device engineering.

6CCVD provides the specialized engineering services required to accelerate Dirac semimetal and quantum device research:

  • Precision Metalization Services: We offer in-house deposition of all materials used in standard quantum device fabrication, including the complex $\text{Ti}/\text{Au}$ (5 nm/100 nm) stacks required in this study, as well as $\text{Pt}$, $\text{Pd}$, $\text{W}$, and $\text{Cu}$. We ensure high adhesion and purity critical for cryogenic contacts.
  • Custom Dimensions and Geometry: Unlike standard $\text{Si}/\text{SiO}_{2}$ wafers, 6CCVD provides custom dimensions and laser cutting services to shape diamond plates or substrates up to $10 \text{ mm}$ thick, facilitating seamless integration into high-field, ultra-low temperature cryostats.
  • Dielectric Stacks: While this paper used $\text{SiO}{2}$, 6CCVD can integrate custom dielectric layers (e.g., $\text{Al}{2}\text{O}_{3}$) onto diamond substrates, offering higher capacitance and superior gate coupling for improved electrostatic control of $\text{p-n}$ junctions in $3\text{D}$ semimetals.

The successful demonstration of magnetic confinement in a gapless material highlights complex material interaction challenges. 6CCVD’s in-house PhD team is available to assist researchers with:

  • Material selection optimization for high-field quantum transport projects.
  • Designing robust back-gate configurations utilizing BDD or low-strain SCD.
  • Consultation on metal stack optimization for nanoscale contacts (channel length $\sim 250 \text{ nm}$) requiring high precision lithography.

For custom specifications or material consultation, visit 6ccvd.com or contact our engineering team directly.

View Original Abstract

We demonstrate quantum dot (QD) formation in three-dimensional Dirac semimetal Cd<sub>3</sub>As<sub>2</sub> nanowires using two electrostatically tuned p-n junctions with a gate and magnetic fields. The linear conductance measured as a function of gate voltage under high magnetic fields is strongly suppressed at the Dirac point close to zero conductance, showing strong conductance oscillations. Remarkably, in this regime, the Cd<sub>3</sub>As<sub>2</sub> nanowire device exhibits Coulomb diamond features, indicating that a clean single QD forms in the Dirac semimetal nanowire. Our results show that a p-type QD can be formed between two n-type leads underneath metal contacts in the nanowire by applying gate voltages under strong magnetic fields. Analysis of the quantum confinement in the gapless band structure confirms that p-n junctions formed between the p-type QD and two neighboring n-type leads under high magnetic fields behave as resistive tunnel barriers due to cyclotron motion, resulting in the suppression of Klein tunneling. The p-type QD with magnetic field-induced confinement shows a single hole filling. Our results will open up a route to quantum devices such as QDs or quantum point contacts based on Dirac and Weyl semimetals.