期刊
PHYSICAL REVIEW B
卷 85, 期 24, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.85.245121
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资金
- National Science Foundation [DMR-1055522, PHY-0803371, DMR-1101912]
- Institute for Quantum Information and Matter at the California Institute of Technology, an NSF Physics Frontiers Center
- Gordon and Betty Moore Foundation through Caltech's Center for the Physics of Information
- Direct For Mathematical & Physical Scien [1055522] Funding Source: National Science Foundation
- Division Of Materials Research [1055522] Funding Source: National Science Foundation
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1101912] Funding Source: National Science Foundation
One of the most promising proposals for engineering topological superconductivity and Majorana fermions employs a spin-orbit coupled nanowire subjected to a magnetic field and proximate to an s-wave superconductor. When only part of the wire's length contacts to the superconductor, the remaining conducting portion serves as a natural lead that can be used to probe these Majorana modes via tunneling. The enhanced role of interactions in one dimension dictates that this configuration should be viewed as a superconductor-Luttinger liquid junction. We investigate such junctions between both helical and spinful Luttinger liquids, and topological as well as nontopological superconductors. We determine the phase diagram for each case and show that universal low-energy transport in these systems is governed by fixed points describing either perfect normal reflection or perfect Andreev reflection. In addition to capturing (in some instances) the familiar Majorana-mediated zero-bias anomaly in a new framework, we show that interactions yield dramatic consequences in certain regimes. Indeed, we establish that strong repulsion removes this conductance anomaly altogether while strong attraction produces dynamically generated effective Majorana modes even in a junction with a trivial superconductor. Interactions further lead to striking signatures in the local density of states and the line shape of the conductance peak at finite voltage, and also are essential for establishing smoking-gun transport signatures of Majorana fermions in spinful Luttinger liquid junctions.
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