非均匀应变石墨烯中的分数约瑟夫森效应
Fractional Josephson effect in nonuniformly strained graphene
摘要：
石墨烯晶格中的非均匀应变分布可以产生均匀的伪磁场和相关的伪朗道能级，而不会破坏时间反演对称性。我们证明，通过诱导超导性的非均匀应变的石墨烯片，最低的伪朗道水平分裂的配对间隙可以通过改变配对电位的符号反转。作为这种反转的结果，我们预测，约瑟夫森$π$结沉积在应变石墨烯片的顶部表现出一维无带隙模式沿结传播。这些无带隙模式介导单电子隧穿穿过结，产生$4π$ -周期性分数约瑟夫森效应。
英文摘要：
Nonuniform strain distributions in a graphene lattice can give rise to uniform pseudomagnetic fields and associated pseudo-Landau levels without breaking time-reversal symmetry. We demonstrate that by inducing superconductivity in a nonuniformly strained graphene sheet, the lowest pseudo-Landau levels split by a pairing gap can be inverted by changing the sign of the pairing potential. As a consequence of this inversion, we predict that a Josephson $π$ junction deposited on top of a strained graphene sheet exhibits one-dimensional gapless modes propagating along the junction. These gapless modes mediate single electron tunneling across the junction, giving rise to the $4π$-periodic fractional Josephson effect.
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