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Matthew Golden

Purdue University

Supervisors: Erica Carlson (Purdue University) – Alexandre Zimmers (École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris)

Short Bio: I am a physics PhD student at Purdue University, specializing in condensed matter theory under the supervision of Professor Erica Carlson. I’m originally from Pineville, Kentucky, and my early fascination with mathematics and science grew out of a deep desire to explore and transcend my Appalachian roots, which led me to study physics at Bellarmine University in Louisville. My current research bridges theoretical models and experimental techniques to explore critical phenomena in quantum materials, particularly the insulator-to-metal transition in vanadium dioxide (VO₂).

As an Enrico Fermi Fellow, I will spend one year at LPEM-ESPCI in Paris, working with Professor Alexandre Zimmers to experimentally investigate electronic avalanches in VO₂. My fellowship project, Harnessing Quantum Materials for Brain-Inspired Computing, combines theory and experiment to advance the development of energy-efficient neuromorphic computing technologies, addressing critical global challenges in sustainable AI.

Harnessing Quantum Materials for Brain-Inspired Computing

Project summary: As artificial intelligence (AI) continues to revolutionize technology, it faces a substantial challenge: immense energy consumption. Current AI systems rely heavily on conventional silicon-based computers, demanding vast amounts of electricity and contributing significantly to global energy consumption. With data centers and AI projected to consume enormous amounts of electricity, equivalent to entire countries’ energy usage, the need for energy-efficient computing has never been more urgent. My research aims to tackle this challenge by developing computing technologies using quantum materials that emulate the remarkable energy efficiency of the brain.

At the heart of my work lies a fascinating material called vanadium dioxide (VO₂). VO₂ is a quantum material known for its ability to switch sharply between insulating and metallic states—this phenomenon is called the Mott transition. These transitions are intriguing because they exhibit rapid changes in electrical properties, memory effects, and stochastic (random) patterns that closely resemble the behavior of neurons and synapses in the brain. Such neuron-like behavior makes VO₂ an excellent candidate for building brain-inspired (neuromorphic) computing systems.

A schematic representation of the comparison between conventional computation and neuromorphic computation, highlighting the potential for brain-inspired technologies. Source: [Catherine D. Schuman, Shruti R. Kulkarni, Maryam Parsa, J. Parker Mitchell, Prasanna Date, and Bill Kay. « Opportunities for neuromorphic computing algorithms and applications ». Nature Computational Science 2.1 (2022), pp. 10–19]

The core of my Enrico Fermi Fellowship project is to understand and control the electronic “avalanches”—rapid, spontaneous switching events—that occur during the phase transition in VO₂. By precisely controlling these electronic avalanches, we can develop materials that have reliable neural behavior, paving the way for energy-efficient, brain-inspired computers. At LPEM-ESPCI in Paris, under Professor Alexandre Zimmers, I will enhance our optical microscope setup to capture high-resolution images of these transitions, triggering them with heat, electric fields, and lasers. Analyzing these images will help us understand the fundamental physics that govern these phenomena.

A vanadium dioxide (VO₂) thin film (shown in blue/green false colors) is positioned between two gold contacts (yellow). A micron-sized metallic path (dark blue line) is created through laser writing by locally heating the film. The metallic path is then partially erased on a submicron scale using an atomic force microscope (AFM) (light green gap) by locally cooling the film. The red and blue curves represent the schematics of the resistance drop and rise during the laser encoding and AFM nanoscale erasing of the metallic path, respectively. This dual-process resistive fine-tuning enables the creation of controllable synaptic weights in neuromorphic circuits [Fang2024]. See video: https://youtu.be/WsqjTZ1U7Y4

Complementing this experimental work, I am simultaneously pursuing a theoretical understanding of the underlying physics. Collaborating closely with my advisor at Purdue, Professor Erica Carlson, we employ theoretical modeling techniques, such as the random field Ising model—a framework for understanding phase transitions in disordered systems—to interpret experimental data and predict the behavior of these quantum materials. By bridging theory and experiment, we can gain deeper insights into how disorder, strain, and external forces influence the insulator-to-metal transition in VO₂. This interdisciplinary, cross-training approach ensures our theoretical models are rigorously tested by real-world experiments.

My ultimate goal is to advance the development of scalable, energy-efficient computing technologies that help mitigate the global energy demands of AI. This project uniquely integrates experimental precision with theoretical insights, providing me with cross-training experience essential for addressing complex problems in modern science. Furthermore, through exploring how complexity emerges in quantum materials, this project can shed light on fundamental questions about the nature of intelligence itself. Understanding these phase transitions not only helps build more efficient computers but also deepens our insight into how intelligent behaviors might naturally arise from complex physical interactions, creating fascinating connections between physics, neuroscience, and even philosophy.