Computational methods incorported into MaSQE simulations

• C.R. Anderson, M.F. Gyure, S. Quinn, A. Pan, R.S. Ross and A.A. Kiselev, “High-precision real-space simulation of electrostatically confined few-electron states”, AIP Advances, 12, 065123, (2022). (doi:10.1063/5.0089821)
• C.R. Anderson, “High Order Accurate Solution of Poisson's Equation in Infinite Domains for Smooth Functions”, (2021). (arXiv:2108.11871v1)
• C.R. Anderson, “High order discretization techniques for real-space ab-initio simulations”, J. Chem. Physics, 148, 11411, (2018). (doi:10.1063/1.5017477)
• C.R. Anderson, “A Rayleigh–Chebyshev procedure for finding the smallest eigenvalues and associated eigenvectors of large sparse Hermitian matrices”, J. Comput. Phys., 229, 7477-7487, (2010). (doi:10.1016/j.jcp.2010.06.026)
• C.R. Anderson, “Efficient solution of the Schroedinger–Poisson equations in layered semiconductor devices”, J. of Comp. Phys., 228, 4745-4756, (2009). (doi:10.1016/j.jcp.2009.03.033)
• C.R. Anderson and T.C. Cecil, “A Fourier–Wachspress method for solving Helmholtz’s equation in three-dimensional layered domains”, J. of Comput. Phys., 205, 706-714, (2005). (doi:10.1016/j.jcp.2004.11.025)
• C. R. Anderson, and C. Elion, Accelerated Solutions of Nonlinear Equations Using Stabilized Runge-Kutta Methods, UCLA CAM Report 04-26, (2004). (pdf)
• C.R. Anderson, Domain decomposition techniques and the solution of Poisson's equation in infinite domains, in Domain Decomposition Methods, T. Chan, R. Glowinski, J. Periaux and O. Widlund (eds.). SIAM Publications, 129-139 (1988).

Select MaSQE usage collaborative publications (more availble soon)

• R. Nodel, D.W. Kanaar, C. Nasseraddin, T.J. Wilson, H.-W. Jiang, J.R. Petta, C. Anderson and M.F. Gyure, “Rapid Charge Stability Diagram Generation from Device-level Modeling of Semiconductor Quantum Dots”, arXiv preprint, (2026). (arXiv:2608.28263v1)
• E. Cakar, H.E. Ercan, G. Fuchs, A.O. Denisov, C.R. Anderson, M.F. Gyure and J.R. Petta, “Toward utilizing scanning gate microscopy as a high-resolution probe of valley splitting in Si/SiGe heterostructures”, Appl. Phys. Lett., 125, 143504, (2024). (doi:10.1063/5.0217704)
• A.O. Denisov, S.W. Oh, G. Fuchs, A.R. Mills, P. Chen, C.R. Anderson, M.F. Gyure, A.W. Barnard and J.R. Petta, “Microwave-Frequency Scanning Gate Microscopy of a Si/SiGe Double Quantum Dot”, Nano Lett., 22, 4807–4813, (2022). (doi:10.1021/acs.nanolett.2c01098)