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Learn the fundamental concepts of Wannier functions in this comprehensive 51-minute lecture by Nicola Marzari from Materials Cloud. Explore the mathematical foundations and theoretical framework underlying Wannier functions, which serve as localized basis sets for describing electronic states in crystalline materials. Discover how these functions provide an alternative representation to Bloch states and understand their crucial role in condensed matter physics and materials science. Gain insights into the construction, properties, and applications of Wannier functions, including their use in tight-binding models, transport calculations, and the analysis of electronic structure in periodic systems. Master the theoretical underpinnings that make Wannier functions essential tools for understanding electron localization and developing efficient computational methods in solid-state physics.
