arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1911.03300cond-mat.mes-hallcond-mat.str-el
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拓扑绝缘体纳米线中的Phase diagram和声子诱导背散射

Phase diagram and phonon-induced backscattering in topological insulator nanowires

Kathrin Dorn, Alessandro De Martino, Reinhold Egger

摘要:

我们提出了一个有效的清洁圆柱形拓扑绝缘体纳米线的电子-声子耦合效应的低能理论。声学声子模型由各向同性弹性连续介质理论与无应力边界条件。我们考虑到声子和螺旋表面狄拉克费米子之间的变形势耦合,也包括电子-电子相互作用的玻色化方法。对于半整数值的磁通量$Φ_B$沿导线,低能量理论承认一个精确的解决方案,因为拓扑保护机制,然后排除声子诱导的$2k_F$ -背散射过程。我们确定的零温度相图,并确定一个政权占主导地位的超导配对的表面状态。作为例子,我们考虑碲化汞纳米线的相图。我们还确定了声子诱导的电阻率,在那里我们找到一个二次依赖于磁通偏差$δΦ_B$从最近的半整数值。

英文摘要:

We present an effective low-energy theory of electron-phonon coupling effects for clean cylindrical topological insulator nanowires. Acoustic phonons are modelled by isotropic elastic continuum theory with stress-free boundary conditions. We take into account the deformation potential coupling between phonons and helical surface Dirac fermions, and also include electron-electron interactions within the bosonization approach. For half-integer values of the magnetic flux $Φ_B$ along the wire, the low-energy theory admits an exact solution since a topological protection mechanism then rules out phonon-induced $2k_F$-backscattering processes. We determine the zero-temperature phase diagram and identify a regime dominated by superconducting pairing of surface states. As example, we consider the phase diagram of HgTe nanowires. We also determine the phonon-induced electrical resistivity, where we find a quadratic dependence on the flux deviation $δΦ_B$ from the nearest half-integer value.

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