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Silicon can be heavily doped with phosphorus in a single atomic layer (a $\delta$ layer), significantly altering the electronic structure of the conduction bands within the material. Recent progress has also made it possible to further dope…

Materials Science · Physics 2026-02-26 Quinn T. Campbell , Andrew D. Baczewski , Shashank Misra , Evan M. Anderson

We characterize the single-electron energies and the wavefunction structure of arrays with two, three, and four phosphorus atoms in silicon by implementing atomistic tight-binding calculations and analyzing wavefunction overlaps to identify…

Quantum Physics · Physics 2024-03-01 Maicol A. Ochoa , Keyi Liu , Michał Zieliński , Garnett W. Bryant

We propose a system of real-space envelope function equations without fitting parameters for modeling the electronic spectrum and wave functions of a phosphorus donor atom embedded in silicon. The approach relies on the Burt-Foreman…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 M. V. Klymenko , S. Rogge , F. Remacle

Multi-donor architecture in silicon offers a promising direction towards scalable solid-state qubits and quantum technologies operating at practical conditions. However, the overlap of multiple donor wave-functions develops a complex…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 Soumya Chakraborty , Pooja Sudha , Hemant Arora , Daniel Moraru , Arup Samanta

Donors in silicon, conceptually described as hydrogen atom analogues in a semiconductor environment, have become a key ingredient of many "More-than-Moore" proposals such as quantum information processing [1-5] and single-dopant electronics…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 M. Fernando Gonzalez-Zalba , André Saraiva , Dominik Heiss , Maria J. Calderón , Belita Koiller , Andrew J. Ferguson

Excitations of impurity complexes in semiconductors can not only provide a route to fill the terahertz gap in optical technologies, but can also connect local quantum bits to scale up solid-state quantum-computing devices. However, taking…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Wei Wu , A. J. Fisher

Donor spin in silicon have achieved record values of coherence times and single-qubit gate fidelities. The next stage of development involves demonstrating high-fidelity two-qubit logic gates, where the most natural coupling is the exchange…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Benjamin Joecker , Andrew D. Baczewski , John K. Gamble , Jarryd J. Pla , André Saraiva , Andrea Morello

We calculate the electronic wave-function for a phosphorus donor in silicon by numerical diagonalisation of the donor Hamiltonian in the basis of the pure crystal Bloch functions. The Hamiltonian is calculated at discrete points localised…

Materials Science · Physics 2009-11-11 C. J. Wellard , L. C. L. Hollenberg

Donor-based quantum devices in silicon are attractive platforms for universal quantum computing and analog quantum simulations. The nearly-atomic precision in dopant placement promises great control over the quantum properties of these…

Quantum Physics · Physics 2025-03-05 Maicol A. Ochoa , Keyi Liu , Piotr Różański , Michał Zieliński , Garnett W. Bryant

The s manifold energy levels for phosphorus donors in silicon are important input parameters for the design and modelling of electronic devices on the nanoscale. In this paper we calculate these energy levels from first principles using…

Mesoscale and Nanoscale Physics · Physics 2016-12-05 J. S. Smith , A. Budi , M. C. Per , N. Vogt , D. W. Drumm , L. C. L. Hollenberg , J. H. Cole , S. P. Russo

Donors in silicon are now demonstrated as one of the leading candidates for implementing qubits and quantum information processing. Single qubit operations, measurements and long coherence times are firmly established, but progress on…

Mesoscale and Nanoscale Physics · Physics 2014-07-09 G. Pica , B. W. Lovett , R. N Bhatt , S. A. Lyon

Doping of silicon via phosphene exposures alternating with molecular beam epitaxy overgrowth is a path to Si:P substrates for conventional microelectronics and quantum information technologies. The technique also provides a new and…

Phosphorus donor impurities in silicon are a promising candidate for solid-state quantum computing due to their exceptionally long coherence times and high fidelities. However, individual addressability of exchange coupled donor qubits with…

The bound state in the system of three protons and an electron (pppe) under a homogeneous strong magnetic field where the protons are situated in the vertices of an equilateral triangle perpendicular to the magnetic field lines is found. It…

Astrophysics · Physics 2007-05-23 J. C. Lopez

Recent work on atomic-precision dopant incorporation technologies has led to the creation of both boron and aluminum $\delta$-doped layers in silicon with densities above the solid solubility limit. We use density functional theory to…

Materials Science · Physics 2023-08-23 Quinn T. Campbell , Shashank Misra , Andrew D. Baczewski

We present a complete theoretical treatment of Stark effects in doped silicon, whose predictions are supported by experimental measurements. A multi-valley effective mass theory, dealing non-perturbatively with valley-orbit interactions…

Density functional theory calculations have been carried out to investigate single-layer phosphorene functionalized with two kinds of organic molecules, i.e. an electrophilic molecule tetracyano-p-quinodimethane (TCNQ) as electron acceptor…

Mesoscale and Nanoscale Physics · Physics 2014-09-26 Ruiqi Zhang , Bin Li , Jinlong Yang

Excited states of a single donor in bulk silicon have previously been studied extensively based on effective mass theory. However, a proper theoretical description of the excited states of a donor cluster is still scarce. Here we study the…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 W. Wu , P. T. Greenland , A. J. Fisher , Nguyen H Le , S. Chick , B. N. Murdin

Atomic engineering in a solid-state material has the potential to functionalize the host with novel phenomena. STM-based lithographic techniques have enabled the placement of individual phosphorus atoms at selective lattice sites of silicon…

Mesoscale and Nanoscale Physics · Physics 2023-09-04 Mushita M. Munia , Serajum Monir , Edyta N. Osika , Michelle Y. Simmons , Rajib Rahman

Donors in silicon can now be positioned with an accuracy of about one lattice constant, making it possible in principle to form donor arrays for quantum computation or quantum simulation applications. However the multi-valley character of…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Chao Lei , Allan H. MacDonald
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