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Majorana Particle in Condensed Matter Systems by Sankar Das Sarma

International Centre for Theoretical Sciences via YouTube

Overview

Explore the fascinating world of Majorana 'particles' in condensed matter systems through this 32-minute lecture by Sankar Das Sarma at the International Centre for Theoretical Sciences. Delve into topics such as Majorana qubit states, Ising anyons, and statistics in 2+1 dimensions. Discover how superconductors serve as natural hosts for Majorana particles and learn about Majorana quantum wires. Examine the density of states across phase transitions and investigate the interaction and disorder in Majorana nanowires using an RG approach. Compare Andree bound states with Majorana bound states in quantum dot-nanowire-superconductor hybrid structures, and understand the concept of quantized Majorana conductance. Conclude with insights from recent DELFT-Maryland experiments, gaining a comprehensive understanding of this cutting-edge research in condensed matter physics.

Syllabus

Majorana 'Particle' in Condensed Matter Systems
Majorana qubit states "Ising anyons": MZM
Statistics in Brief:
In 2+1 Dimensions: Two Exchanges = Identity
Superconductors are natural hosts for Majorana
ID wires with spin-orbit: helical state
Majorana quantum wires
Density of states across phase transition
Interaction and disorder in Majorana nanowire: An RG approach Lobos, Lutchyn, SDS, PRL 2012: Stability of MZM??
Theory
Theoretical Model
Andree bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures:
Quantized Majorana Conductance
DELFT-Maryland 2017-18
Conclusion

Taught by

International Centre for Theoretical Sciences

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