Topological Quantum Matter
This advanced course provides an overview of the rapidly growing field of Topological Quantum Matter. It covers both theoretical and experimental aspects, with a focus on the physical understanding of the material rather than technical details. The course is divided into topics such as topological insulators, fractional quantum Hall effect, and Majorana fermions. It provides a comprehensive introduction to the field for students and researchers. ▼
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Course Feature
Cost:
Free
Provider:
Edx
Certificate:
Paid Certification
Language:
English
Start Date:
Self paced
Course Overview
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Updated in [March 06th, 2023]
This advanced course, Topological Quantum Matter, covers the fundamentals of the thriving field of Topological States of Matter. It emphasizes the physical picture over the technical details, and is divided into nine units. The first unit covers the Integer and Fractional Quantum Hall Effects, including the concepts of edge states, localization, fractional charges, composite fermions, and non-abelian states. The second unit covers Topological Superconductivity, including the concepts of the Thouless pump, Majorana zero modes, and realizations in one and two dimensions. The third unit covers the Topological Universe on a Graphene Sheet, including the concepts of Dirac cones, Klein tunneling and Chern bands, as well as the rich world of twisted bi-layer graphene. The fourth unit covers Topological Insulators, including two- and three- dimensional systems, as well as topological crystalline insulators. The fifth unit covers Topological Classification, putting all examples of the previous units into a unified framework, introducing the periodic table of gapped topological systems with no topological order. The sixth unit expands the course into the realm of Gapless Topological Phases, covering Dirac and Weyl semi-metals, both in their bulk and surface. The seventh unit covers the theoretical tools for Predicting Topological Materials, with an emphasis on Denisty Functional Theory, and the quantities that need to be calculated to probe the topological characteristics of a material. The eighth unit dives into the abstract world of Topological Order, from the Toric Code all the way to a brief discussion of Topological Quantum Computation. Finally, the ninth unit describes some Experimental Tools that are of wide use in the study of topological states of matter, and makes connection between measurements and their interpretation.
[Applications]
Upon completion of this course, students will have a comprehensive understanding of the fundamentals of Topological Quantum Matter. They will be able to apply this knowledge to predict and analyze topological materials, as well as to understand the theoretical and experimental tools used in the field. Furthermore, they will be able to identify and classify topological states of matter, and to understand the implications of topological order.
[Career Paths]
1. Topological Quantum Matter Researcher: This job involves researching and developing new theories and models related to topological quantum matter. This includes studying the properties of topological states of matter, developing new methods for predicting topological materials, and exploring the potential of topological quantum computation. This field is rapidly growing, with new discoveries being made every day.
2. Topological Quantum Matter Engineer: This job involves designing and building devices and systems that utilize topological quantum matter. This includes creating new materials and structures that can be used to create topological states of matter, as well as developing new methods for manipulating and controlling these states. This field is rapidly growing, with new applications being developed every day.
3. Topological Quantum Matter Educator: This job involves teaching and educating others about topological quantum matter. This includes developing educational materials, delivering lectures and seminars, and providing guidance to students and researchers. This field is rapidly growing, with new discoveries being made every day.
4. Topological Quantum Matter Consultant: This job involves providing advice and guidance to organizations and individuals on topological quantum matter. This includes providing technical advice, developing strategies for utilizing topological quantum matter, and helping to identify potential applications. This field is rapidly growing, with new opportunities being created every day.
[Education Paths]
Recommended Degree Paths:
1. Bachelor of Science in Physics: This degree path provides a comprehensive introduction to the fundamentals of physics, including classical mechanics, quantum mechanics, thermodynamics, and electromagnetism. It also provides a strong foundation in mathematics, which is essential for understanding the principles of topological quantum matter. Developing trends in this field include the use of advanced computational techniques to study topological materials, as well as the development of new experimental tools for probing topological states.
2. Master of Science in Condensed Matter Physics: This degree path provides a more in-depth exploration of the principles of topological quantum matter, including the study of topological insulators, topological superconductors, and topological order. Developing trends in this field include the use of advanced computational techniques to study topological materials, as well as the development of new experimental tools for probing topological states.
3. Doctor of Philosophy in Topological Quantum Matter: This degree path provides an in-depth exploration of the principles of topological quantum matter, including the study of topological insulators, topological superconductors, and topological order. Developing trends in this field include the use of advanced computational techniques to study topological materials, as well as the development of new experimental tools for probing topological states.
4. Master of Science in Applied Physics: This degree path provides a comprehensive introduction to the fundamentals of physics, including classical mechanics, quantum mechanics, thermodynamics, and electromagnetism. It also provides a strong foundation in mathematics, which is essential for understanding the principles of topological quantum matter. Developing trends in this field include the use of advanced computational techniques to study topological materials, as well as the development of new experimental tools for probing topological states.
Course Provider
Provider Edx's Stats at AZClass
This advanced course provides an overview of the rapidly developing field of topological quantum matter. It covers both theoretical and experimental aspects, focusing on the physical understanding of materials rather than technical details. Classes are broken down into topics such as topological insulators, the fractional quantum Hall effect, and Majorana fermions. It provides students and researchers with a comprehensive introduction to the field. The course provides learners with a comprehensive understanding of the fundamentals of the burgeoning field of topological states of matter. It covers a wide range of topics, from integer and fractional quantum Hall effects, to topological superconductivity, topological insulators, topological classification, gapless topological phases, predicted topological materials, topological order, and experimental tools.
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