Related Experiment Video
Updated: Apr 11, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Gate Tunable Dimensional Crossover of Quantum Confined Dirac Fermions
Ya-Ning Ren1,2, Yu-Chen Zhuang3,4, Hui-Ying Ren1,2
1Center for Advanced Quantum Studies, School of Physics and Astronomy, Institute for Advanced Study, Beijing Normal University, Beijing 100875, China.
None:
Dimensionality fundamentally dictates the behavior of quantum systems, and dimensional crossover serves as a key bridge to understand the pronounced differences between distinct dimensional regimes. However, achieving continuous control over such a crossover within a real material remains challenging. Here, we demonstrate a gate-tunable dimensional crossover of quantum confined Dirac Fermions in graphene/transition metal dichalcogenide heterostructure quantum dots (QDs). By adjusting the electrostatic gate, we modulate the potential depth of an elongated QD, which exhibits distinct confinement sizes along two perpendicular directions, thereby enabling precise tuning of the confined carrier wavelength with respect to these two distinct size dimensions. Scanning tunneling microscopy measurements reveal a clear evolution from one-dimensional confinement, characterized by strongly anisotropic wave function distributions, to two-dimensional behavior. This establishes a direct and tunable means to control dimensional crossover in situ via electrostatic gating, providing a new platform for exploring dimension-driven quantum phenomena.
Related Concept Videos
Fermi Level Dynamics
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Debye–Huckel–Onsager Conductance Equation
Dimensionless Groups in Fluid Mechanics
Hybridization of Atomic Orbitals II
Woodward–Hoffmann Selection Rules and Microscopic Reversibility
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...

