Journal
PHYSICAL REVIEW B
Volume 96, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.96.121119
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Funding
- National Science Foundation [DMR-1341822, DMR-1723367]
- Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center
- Gordon and Betty Moore Foundation [GBMF1250]
- Walter Burke Institute for Theoretical Physics at Caltech
- Division Of Physics
- Direct For Mathematical & Physical Scien [1125565] Funding Source: National Science Foundation
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The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-state implementation based on a quantum dot coupled to an array of topological superconducting wires hosting Majorana zero modes. Interactions and disorder intrinsic to the dot mediate the desired random Majorana couplings, while an approximate symmetry suppresses additional unwanted terms. We use random-matrix theory and numerics to show that our setup emulates the SYK model (up to corrections that we quantify) and discuss experimental signatures.
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