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arXiv 1303.2687cond-mat.supr-concond-mat.str-elquant-ph
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多带s波拓扑超导体:维数和磁场响应的作用

Multiband s-wave topological superconductors: role of dimensionality and magnetic field response

Shusa Deng, Gerardo Ortiz, Lorenza Viola

摘要:

我们进一步研究了一类时间反演不变的双带s波拓扑超导体在物理评论Lett。108,036803(2012)中所述。我们展示了如何,在存在时间反演对称性,Z_2不变量,区分平凡和非平凡的量子相位,可以通过只考虑一个Kramers的部门,其中的哈密顿量的不连续性。我们发现,在我们原来的2D设置中确定的主要功能在1D和3D中保持定性不变,与非平凡的拓扑超导相支持奇数的Kramers对螺旋Majorana模式的每个边界上,只要所需的$π$之间的差距保持相位差。我们还分析了时间反演超导破断的后果,无论是由于施加或杂质磁场的存在下,或从预期的超导间隙之间的相位匹配的偏差。我们演示了如何拓扑不变性的相关概念必须修改时,时间反演对称性被打破,以及如何无间隙的马约拉纳模式的持久性和它们的鲁棒性一般取决于在其中的原始哈密顿量被扰动的方式。有趣的是,螺旋和手征超导相之间的拓扑量子相变可以通过适当地调谐塞曼场结合间隙之间的相位失配来诱导。最近的实验在掺杂的半导体晶体,潜在的相关性提出的模型,和可能的候选材料实现超导体与$s_\pm$配对对称性进行了讨论。

英文摘要:

We further investigate a class of time-reversal-invariant two-band s-wave topological superconductors introduced in Phys. Rev. Lett. 108, 036803 (2012). We show how, in the presence of time-reversal symmetry, Z_2 invariants that distinguish between trivial and non-trivial quantum phases can be constructed by considering only one of the Kramers' sectors in which the Hamiltonian decouples into. We find that the main features identified in our original 2D setting remain qualitatively unchanged in 1D and 3D, with non-trivial topological superconducting phases supporting an odd number of Kramers' pairs of helical Majorana modes on each boundary, as long as the required $π$ phase difference between gaps is maintained. We also analyze the consequences of time-reversal symmetry-breaking either due to the presence of an applied or impurity magnetic field or to a deviation from the intended phase matching between the superconducting gaps. We demonstrate how the relevant notion of topological invariance must be modified when time-reversal symmetry is broken, and how both the persistence of gapless Majorana modes and their robustness properties depend in general upon the way in which the original Hamiltonian is perturbed. Interestingly, a topological quantum phase transition between helical and chiral superconducting phases can be induced by suitably tuning a Zeeman field in conjunction with a phase mismatch between the gaps. Recent experiments in doped semiconducting crystals, of potential relevance to the proposed model, and possible candidate material realizations in superconductors with $s_\pm$ pairing symmetry are discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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