Derives the symmetry breaking long exact sequence relating defect anomalies to broken symmetry anomalies, with applications to higher Berry phases and obstructions to local defects in symmetry breaking phases.
Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
3 Pith papers cite this work. Polarity classification is still indexing.
abstract
We study the proximity effect between an s-wave superconductor and the surface states of a strong topological insulator. The resulting two dimensional state resembles a spinless p_x+ip_y superconductor, but does not break time reversal symmetry. This state supports Majorana bound states at vortices. We show that linear junctions between superconductors mediated by the topological insulator form a non chiral 1 dimensional wire for Majorana fermions, and that circuits formed from these junctions provide a method for creating, manipulating and fusing Majorana bound states.
verdicts
UNVERDICTED 3representative citing papers
InAs-Pb hybrid nanowire tetron achieves ~20 s parity switching time with h/2e-periodic bimodal capacitance shifts, using a new rf technique to resolve wire-end states at μeV precision.
A synthetic-dimension Kitaev chain is realized in a 2D electron gas coupled to an LC resonator, enabling cavity-controlled Majorana zero modes for topological quantum computing.
citing papers explorer
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A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases
Derives the symmetry breaking long exact sequence relating defect anomalies to broken symmetry anomalies, with applications to higher Berry phases and obstructions to local defects in symmetry breaking phases.
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20 Second Parity Lifetime in an InAs--Pb Tetron Device
InAs-Pb hybrid nanowire tetron achieves ~20 s parity switching time with h/2e-periodic bimodal capacitance shifts, using a new rf technique to resolve wire-end states at μeV precision.
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Kitaev chain in synthetic dimension with cavity-controlled Majorana modes
A synthetic-dimension Kitaev chain is realized in a 2D electron gas coupled to an LC resonator, enabling cavity-controlled Majorana zero modes for topological quantum computing.