Theory of a two-level artificial molecule in laterally coupled quantum Hall droplets

Abstract

We present a theory of laterally coupled quantum Hall droplets with electron numbers (N1,N2) at filling factor $\nu =2$. We show that the edge states of each droplet are tunnel coupled and form a two-level artificial molecule. By populating the edge states with one electron each a two electron molecule is formed. We predict the singlet-triplet transitions of the effective two-electron molecule as a function of the magnetic field, the number of electrons, and confining potential using the configuration interaction method (CI) coupled with the unrestricted Hartree-Fock (URHF) basis. In addition to the singlet-triplet transitions of a 2 electron molecule involving edge states, triplet transitions involving transfer of electrons to the center of individual dots exist for $(N1\ge 5,N2\ge 5)$.

arXiv comment5 pages, 10 figures

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Cited by in corpus (7)

• Screening of charged impurities with multi-electron singlet-triplet spin qubits in quantum dots
• Ab Initio Exact Diagonalization Simulation of the Nagaoka Transition in Quantum Dots
• Real Space Hartree-Fock Configuration Interaction Method For Complex Lateral Quantum Dot Molecules
• Quantum Hall Ferrimagnetism in lateral quantum dot molecules
• First-quantized eigensolver for ground and excited states of electrons under a uniform magnetic field
• Para-ortho transition of artificial H${}_2$ molecule in lateral quantum dots doped with magnetic impurities
• Spin transitions induced by a magnetic field in quantum dot molecules