Confinement in a magnetically induced WSe${}_2$ quantum dots

Abstract

Monolayer tungsten diselenide (WSe${}_2$) has become a suitable platform for quantum transport and spintronics and valleytronics applications because it possesses an intrinsic band gap and strong spin-orbit coupling and spin-valley coupling features. The electrostatic confinement of Dirac fermions proves challenging in graphene because of Klein tunneling, yet WSe${}_2$ provides an environment that supports both carrier localization and the development of confined quantum states. In this work, we theoretically investigate the confinement of massive Dirac fermions in a WSe${}_2$ quantum dot generated by a localized magnetic field. Using the effective Dirac Hamiltonian in the presence of a magnetic flux, we derive the exact wave functions and scattering coefficients by employing Kummer's confluent hypergeometric functions together with Bessel and Hankel functions. Our results show that the localized magnetic field provides an efficient mechanism to suppress Klein tunneling and promote the formation of stable quasibound states. We systematically examine the scattering efficiency and carrier density distributions as functions of the incident energy, magnetic field strength, and quantum dot radius. We find that low-energy carriers are strongly confined by the magnetic barrier, while the interplay between magnetic localization and geometric confinement gives rise to sharp and tunable resonance peaks. These results provide valuable insight into the control of spin-valley transport in transition metal dichalcogenide nanostructures and establish a theoretical basis for the development of quantum confinement devices and quantum information technologies.

9 pages, 4 figures. Version to appear in Comput. Condens. Matter 2026

References in corpus (16)

• Atomically thin MoS2: A new direct-gap semiconductor
• 2D materials and van der Waals heterostructures
• Chiral tunneling and the Klein paradox in graphene
• Spins in few-electron quantum dots
• Evolution of Electronic Structure in Atomically Thin Sheets of WS2 and WSe2
• High Performance Single Layered WSe2 p-FETs with Chemically Doped Contacts
• Andreev reflection and Klein tunneling in graphene
• Magnetic Control of Valley Pseudospin in Monolayer WSe2
• Large-scale quantum-emitter arrays in atomically thin semiconductors
• Magnetic confinement of massless Dirac fermions in graphene
• Quasi-bound states of quantum dots in single and bilayer graphene
• Multiple magnetic barriers in graphene
• Quantum dots and spin qubits in graphene
• Spintronics in MoS_2 monolayer quantum wires
• Mie scattering analog in graphene: lensing, particle confinement, and depletion of Klein tunneling
• Electron flow in circular graphene quantum dots