Next week: Low, 29-Apr-25, 12:20pm Central
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Ellad Tadmor
Apr 22, 2025, 11:57:01 AMApr 22
to aem-solid...@umn.edu
AEM Mechanics Research Seminar
Tuesday 29-Apr-2025, 12:20pm Central
Prof. Tony Low
Department of Electrical & Computer Engineering, University of Minnesota
Title: Introduction to Berry phase, connection and curvature in solid state materials
Abstract: This talk unpacks the Berry phase's origin, its role as a real, geometric quantity, and its connection to the Berry connection and curvature. We discuss the gauge invariance of the Berry phase, contrasting it with the gauge dependence of the Berry connection, and reveal how the Berry curvature emerges as a measurable quantity that governs phenomena like the Hall effect, quantum Hall systems, and spin Hall effect. These concepts are tied to real-world materials, including topological insulators and magnetic systems, with applications in spintronics and electronic transport. Finally, we briefly introduce the language of differential geometry, explaining how Berry connection and curvature are expressed as differential forms and extended to multiband quantum systems, offering a powerful framework for understanding complex quantum materials.
For more information, visit the AEM Mechanics Research Seminar website:
Tuesday 29-Apr-2025, 12:20pm Central
In-person: Room 58, Rapson Hall, University of Minnesota
Online: Webinar registration link
Department of Electrical & Computer Engineering, University of Minnesota
Title: Introduction to Berry phase, connection and curvature in solid state materials
Abstract: This talk unpacks the Berry phase's origin, its role as a real, geometric quantity, and its connection to the Berry connection and curvature. We discuss the gauge invariance of the Berry phase, contrasting it with the gauge dependence of the Berry connection, and reveal how the Berry curvature emerges as a measurable quantity that governs phenomena like the Hall effect, quantum Hall systems, and spin Hall effect. These concepts are tied to real-world materials, including topological insulators and magnetic systems, with applications in spintronics and electronic transport. Finally, we briefly introduce the language of differential geometry, explaining how Berry connection and curvature are expressed as differential forms and extended to multiband quantum systems, offering a powerful framework for understanding complex quantum materials.
For more information, visit the AEM Mechanics Research Seminar website:
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Ellad B. Tadmor, Ph.D.
Russell J. Penrose Professor
Department of Aerospace Engineering and Mechanics
University of Minnesota
https://dept.aem.umn.edu/~tadmor/
Russell J. Penrose Professor
Department of Aerospace Engineering and Mechanics
University of Minnesota
https://dept.aem.umn.edu/~tadmor/
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