Experimentally verified inductance extraction and parameter study for superconductive integrated circuit wires crossing ground plane holes (original) (raw)
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Inductance extraction of multilayer finite-thickness superconductor circuits
IEEE Transactions on Microwave Theory and Techniques, 2001
An efficient numerical technique is presented for inductance extraction and current calculation in multilayer planar superconductor microelectronic circuits. The rigorous definition of 3D problem based on London equations and stream function is presented. The finite thickness of conductors is taken into account. The results can be directly applied to perfect and extended to normal conductors.
Statistical modeling of inductances in high-Tc superconductor electronic structures
Physica C: Superconductivity, 2001
In the design of electronic applications, e.g. rapid single¯ux quantum (RSFQ) circuits, with high-T c superconductors there is an obvious necessity of having precise knowledge of loop inductances. In general, these inductances have to be computed numerically due to the small sizes of the structures and the large contribution of the kinetic inductance. The present work is based on the analysis of a large number of inductances which have been calculated numerically for several high-T c superconducting loop con®gurations. By means of statistical modeling, analytical formulae, which are customized for the considered type of structure, are derived. They can eciently be used to simplify and accelerate the process of layout design in high-T c RSFQ electronics. Ó
Inductance extraction of superconductor structures with internal current sources
Superconductor Science and Technology, 2015
The sheet current model underlying the software 3D-MLSI package for calculation of inductances of multilayer superconducting circuits, has been further elaborated. The developed approach permits to overcome serious limitations on the shape of the circuits layout and opens the way for simulation of internal contacts or vias between layers. Two models for internal contacts have been considered. They are a hole as a current terminal and distributed current source. Advantages of the developed approach are illustrated by calculating the spatial distribution of the superconducting current in several typical layouts of superconducting circuits. New meshing procedure permits now to implement triangulation for joint projection of all nets thus improving discrete physical model for inductance calculations of circuits made both in planarized and non-planarized fabrication processes. To speed-up triangulation and build mesh of better quality, we adopt known program "Triangle".
IEEE Transactions on Appiled Superconductivity, 1997
scheme for computing inductances in complex superconducting thin film microcircuits, using the method of finite segments, is presented. The goal is to obtain more accurate inductance estimation as is required in a layout design of high speed superconducting digital circuit investigations. A variety of geometric structures such as short stripline, corner, tee connection and Josephson junction via are discussed. Simulation results for these common inductance elements are given for the HYPRES fabrication process requirements. The database created during these simulations has been used in the development of high speed RSFQ digital devices.
IEEE Transactions on Applied Superconductivity, 2021
This paper introduces SuperVoxHenry, an inductance extraction simulator for analyzing voxelized superconducting structures. SuperVoxHenry extends the capabilities of the inductance extractor VoxHenry for analyzing the superconducting structures by incorporating the following enhancements. (i) SuperVoxHenry utilizes a two-fluid model to account for normal currents and supercurrents. (ii) SuperVoxHenry introduces the Tucker decompositions to reduce the memory requirement of circulant tensors as well as the setup time of the simulator. (iii) SuperVoxHenry incorporates an aggregation-based algebraic multigrid technique to obtain the sparse preconditioner. With these enhancements, SuperVoxHenry allows extracting the inductance of large-scale superconducting structures on a desktop computer. The accuracy, efficiency, and applicability of the proposed SuperVoxHenry have been demonstrated through the inductance extraction of various superconducting structures, including superconducting thin film inductors, a sharp bend, as well as a subsystem of an energy-efficient single flux quantum circuit.
Arxiv preprint cond-mat/ …, 2006
In order to integrate superconducting qubits with rapid-single-flux-quantum (RSFQ) control circuitry, it is necessary to develop a fabrication process that fulfills at the same time the requirements of both elements: low critical current density, very low operating temperature (tens of milliKelvin) and reduced dissipation on the qubit side; high operation frequency, large stability margins, low dissipated power on the RSFQ side. For this purpose, VTT has developed a fabrication process based on Nb trilayer technology, which allows the on-chip integration of superconducting qubits and RSFQ circuits even at very low temperature. Here we present the characterization (at 4.2 K) of the process from the point of view of the Josephson devices and show that they are suitable to build integrated superconducting qubits.
Peculiarities of RSFQ Applications with HighT c Superconductors - an Approach for Design
Journal De Physique Iv, 1996
The significant progress in the development of Rapid Single Flux Quantum (RSFQ) logic circuits indicates their potential for fast cryoelectronic device applications. The possibilities of realizing logic components based on this principle with high-T, superconductive (HTS) materials have been studied by means of numerical computations. The most crucial task is to manage the trade-off between desired high critical currents and the loop inductances, which can not be made arbitrarily small. Parameter extractions for typical layout arrangements and dynamical simulations including thermal noise give justification for expecting small scale HTS-RSFQ implementations.
Quantization of inductively shunted superconducting circuits
Physical Review B, 2016
We present a method for calculating the energy levels of superconducting circuits that contain highly anharmonic, inductively-shunted modes with arbitrarily strong coupling. Our method starts by calculating the normal modes of the linearized circuit and proceeds with numerical diagonalization in this basis. As an example, we analyze the Hamiltonian of a fluxonium qubit inductively coupled to a readout resonator. While elementary, this simple example is nontrivial because it cannot be efficiently treated by the method known as "black-box quantization," numerical diagonalization in the bare harmonic oscillator basis, or perturbation theory. Calculated spectra are compared to measured spectroscopy data, demonstrating excellent quantitative agreement between theory and experiment.