Nonlocal qubits defined on the Dirac quantum dot in an external magnetic field
Phys. Rev. B 114, 065428 – Published 29 July, 2026
DOI: https://doi.org/10.1103/ss3r-sx4c
Abstract
The theoretical investigation of electronic properties of the cylindrical quantum dot made of gapped monolayer graphene and subject to an external magnetic field is presented. The single electron bound states are obtained within the continuum model of the graphene, including substrate interaction potential. The effective two-dimensional Dirac equation has been solved analytically in a consistent manner for bulk and edge states, using infinite mass boundary conditions imposed at armchair edges of the dot. The band structure of the system in the function of magnetic flux has been observed and bulk–band gap and edge–band gap dependence on the model parameters have been analyzed. In addition, pseudospin-resolved electron densities, the local densities of states, as well as the persistent currents have been calculated in the function of magnetic flux. It has been demonstrated that edge modes are promising candidates for defining the nonlocal quantum bit with a basis state distributed close to opposite edges, by which coherent superposition can be tuned by magnetic flux.
