Effects of J-gate potential and interfaces on donor exchange coupling in the Kane quantum computer architecture

Abstract

We calculate the electron exchange coupling for a phosphorus donor pair in silicon perturbed by a J-gate potential and the boundary effects of the silicon host geometry. In addition to the electron-electron exchange interaction we also calculate the contact hyperfine interaction between the donor nucleus and electron as a function of the varying experimental conditions. Donor separation, depth of the P nuclei below the silicon oxide layer and J-gate voltage become decisive factors in determining the strength of both the exchange coupling and the hyperfine interaction - both crucial components for qubit operations in the Kane quantum computer. These calculations were performed using an anisotropic effective-mass Hamiltonian approach. The behaviour of the donor exchange coupling as a function of the device parameters varied provides relevant information for the experimental design of these devices.

arXiv comment15 pages, 15 figures. Accepted for Journal of Physics: Condensed Matter

References in corpus (7)

• Exchange in silicon-based quantum computer architecture
• Silicon-based Quantum Computation
• Strain effects on silicon donor exchange: Quantum computer architecture considerations
• Electron Exchange Coupling for Single Donor Solid-State Qubits
• Numerical study of hydrogenic effective mass theory for an impurity P donor in Si in the presence of an electric field and interfaces
• Gate-induced ionization of single dopant atoms
• Nuclear magnetic resonance spectrum of 31P donors in silicon quantum computer

Cited by in corpus (6)

• Silicon Quantum Electronics
• Global control and fast solid-state donor electron spin quantum computing
• Molecular orbital calculations of two-electron states for P donor solid-state spin qubits
• Towards Large-Scale Quantum Computation
• Large-scale atomistic density functional theory calculations of phosphorus-doped silicon quantum bits
• Cross-talk compensation of hyperfine control in donor qubit architectures