论文标题

当前注入$ d $和$ d +的自吻合理论是$超导体

Self-consistent theory of current injection into $d$ and $d + is$ superconductors

论文作者

Seja, Kevin Marc, Löfwander, Tomas

论文摘要

我们介绍了$ d_ {x^2-y^2} $超导膜的稳态非线性响应的结果,该膜连接到电压偏置下的普通金属储层,从而使近距离$ s $ s $ - 波组件出现在接口附近。我们的调查基于一个电流的理论,即自谨慎地包括非平衡分布函数,电荷不平衡以及订单参数的电压依赖性和标量杂质自我增强性。对于纯$ d $ - 波超导体,将接口的[110]取向到触点,电导量包含一个零偏置峰,反映了零能量界面的较大密度Andreeeve绑定状态。包括一个亚尺寸$ s $ - 波配对频道,它在$ s $ - 波订单参数组件$Δ__\ mathrm {s} $上以均衡为有利,以在时间逆转的对称对称性中断$ d+d+is $中出现在接口附近。然后,安德里弗州的状态转向状态密度的有限能量。在电压偏置下,我们发现接触区域中的非平衡分布会导致$ s $ - 波组件的快速抑制作用,因为电压$ ev \ ev \rightarrowΔ__\ mathrm {s} $。所得的光谱重排和电压依赖性散射幅度导致零偏置电导峰的明显非热宽分裂,而在非舒适的Landauer-Büttiker散射方法中未见。

We present results for the steady-state nonlinear response of a $d_{x^2-y^2}$ superconducting film connected to normal-metal reservoirs under voltage bias, allowing for a subdominant $s$-wave component appearing near the interfaces. Our investigation is based on a current-conserving theory that self-consistently includes the non-equilibrium distribution functions, charge imbalance, and the voltage-dependencies of order parameters and scalar impurity self-energies. For a pure $d$-wave superconductor with [110] orientation of the interfaces to the contacts, the conductance contains a zero-bias peak reflecting the large density of zero-energy interface Andreev bound states. Including a subdominant $s$-wave pairing channel, it is in equilibrium energetically favorable for an $s$-wave order parameter component $Δ_\mathrm{s}$ to appear near the interfaces in the time-reversal symmetry breaking combination $d+is$. The Andreev states then shift to finite energies in the density of states. Under voltage bias, we find that the non-equilibrium distribution in the contact area causes a rapid suppression of the $s$-wave component to zero as the voltage $eV\rightarrowΔ_\mathrm{s}$. The resulting spectral rearrangements and voltage-dependent scattering amplitudes lead to a pronounced non-thermally broadened split of the zero-bias conductance peak that is not seen in a non-selfconsistent Landauer-Büttiker scattering approach.

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