Probing Fermi Sea Topology by Andreev State Transport
Pok Man Tam, Charles L. Kane
DOI 10.1103/PhysRevLett.130.096301 · Physical Review Letters
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
We show that the topology of the Fermi sea of a two-dimensional electron gas (2DEG) is reflected in the ballistic Landauer transport along a long and narrow Josephson π junction that proximitizes the 2DEG. The low-energy Andreev states bound to the junction are shown to exhibit a dispersion that is sensitive to the Euler characteristic of the Fermi sea (χF). We highlight two important relations: one connects the electron or hole nature of Andreev states to the convex or concave nature of Fermi surface critical points, and one relates these critical points to χF. We then argue that the transport of Andreev states leads to a quantized conductance that probes χF. An experiment is proposed to measure this effect, from which we predict an I−V characteristic that not only captures the topology of the Fermi sea in metals, but also resembles the rectification effect in diodes. Finally, we evaluate the feasibility of measuring this quantized response in graphene, InAs and HgTe 2DEGs.
Similar papers
Topological Andreev rectification
similarity 0.95Pok Man Tam et al.
Source status unknown — claims are unverified
Andreev reflection and bound state formation in a ballistic two-dimensional electron gas probed by a quantum point contact
similarity 0.87Hiroshi Irie et al.
Source status unknown — claims are unverified
Transport signatures of inverted Andreev bands in topological Josephson junctions
similarity 0.87Jonathan Sturm et al.
Source status unknown — claims are unverified
Topological π Junctions from Crossed Andreev Reflection in the Quantum Hall Regime
similarity 0.87F. Finocchiaro et al.
Source status unknown — claims are unverified
Topological Andreev Rectification
similarity 0.87Pok Man Tam et al. · 2023 · arXiv:2302.14050
Source status unknown — claims are unverified
Andreev Reflection Eigenvalue Density in Mesoscopic Conductors
similarity 0.87P. Samuelsson et al.
Source status unknown — claims are unverified