An Order O(1) Algorithm for Transient Current Calculation in Nanoelectronics

Key Problem and Market Opportunity

Response time is one of the key performance indicators of high-speed transistors in nanoelectronics
As the response time is pushed to the limit, transient current calculation is essential in studying the response time and determining the peak transient current for preventing meltdown of the nanochips
Such calculation is known to be extremely time consuming with the best scaling complexity of TN3 (T is the number of time steps and N is the dimension of the device)
The quantum computing software market is estimated at US$88.4 million in 2016 and is expected to grow at a CAGR of 29.04% between 2017 and 2023

Key Advantages of the Technology

A novel algorithm based on NEGF-CAP formalism is used to calculate transient current as a function of time step T; it may be further extended to NEGF-DFT-CAP formalism
The algorithm provides an Order O(1) complexity if T < N2, where N is the system size (N usually >= 10,000)
It is useful for designing nano-devices and predicting their actual responses before actual production
Experiments on a gated graphene nanoribbon (Figure 1) confirmed the Order O(1) complexity with N=104 and T=108
Such major speedup enables the application of first-principle calculations and nano-device design with ever-increasing performance requirements

Potential Product and Services

Technology Computer Aided Design (TCAD) software for Electronic Design Automation
Quantum Chemistry and Solid-State Physics Software

Development Status and IP Strength

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