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

Majorana Particle in Condensed Matter Systems by Sankar Das Sarma

International Centre for Theoretical Sciences
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