Flat Band Josephson Junctions with Quantum Metric
arxiv(2024)
摘要
In this work, we consider superconductor/flat band material/superconductor
(S/FB/S) Josephson junctions (JJs) where the flat band material possesses
isolated flat bands with exactly zero Fermi velocity. Contrary to conventional
S/N/S JJs in which the critical Josephson current vanishes when the Fermi
velocity goes to zero, we show here that the critical current in the S/FB/S
junction is controlled by the quantum metric length ξ_QM of the flat
bands. Microscopically, when ξ_QM of the flat band is long enough, the
interface bound states originally localized at the two S/FB, FB/S interfaces
can penetrate deeply into the flat band material and hybridize to form Andreev
bound states (ABS). These ABS are able to carry long range and sizable
supercurrents. Importantly, ξ_QM also controls how far the proximity
effect can penetrate into the flat band material. This is in sharp contrast
with de Gennes' theory for S/N junctions in which the proximity effect is
expected to be zero when the Fermi velocity of the normal metal is zero. We
further suggest that the S/FB/S junctions gives rise to a new type of resonant
Josephson transistors which can carry sizeable and highly gate-tunable
supercurrent.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要