Proliferation of metallic domains caused by inhomogeneous heating near the electrically-driven transition in VO$_2$ nanobeams
Sujay Singh, Gregory Horrocks, Peter M Marley, Zhenzhong Shi, Sarbajit, Banerjee, and G. Sambandamurthy

TL;DR
This study reveals that inhomogeneous Joule heating causes phase inhomogeneities leading to the insulator-metal transition in VO$_2$ nanobeams, emphasizing the role of thermal effects over electric field-induced mechanisms.
Contribution
It demonstrates that non-uniform Joule heating, not electric field alone, drives the transition in VO$_2$ nanobeams, using harmonic analysis and transport measurements.
Findings
Non-uniform Joule heating causes phase inhomogeneities.
Electric field alone does not induce the transition.
Percolation effects influence the transition process.
Abstract
We discuss the mechanisms behind the electrically driven insulator-metal transition in single crystalline VO nanobeams. Our DC and AC transport measurements and the versatile harmonic analysis method employed show that non-uniform Joule heating causes phase inhomogeneities to develop within the nanobeam and is responsible for driving the transition in VO. A Poole-Frenkel like purely electric field induced transition is found to be absent and the role of percolation near and away from the electrically driven transition in VO is also identified. The results and the harmonic analysis can be generalized to many strongly correlated materials that exhibit electrically driven transitions.
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