Edge and bulk localization of Floquet topological superconductors
Edge and bulk localization of Floquet topological superconductors
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Floquet 拓扑超导体的边缘和体局域化
DOI：
10.1103/physrevb.99.014301
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发表时间：
2018-08
影响因子：
3.7
通讯作者：
Sacramento Pedro D
中科院分区：
文献类型：
--
作者：
Cadez Tilen;Mondaini Rubem;Sacramento Pedro D
我们研究了驱动基塔耶夫链的体积和边缘性质，其中驱动是作为现场能量的瞬时淬火进行的。我们确定了三种周期驱动状态：低周期，相当于静态模型，具有从Baker-Campbell-Hausdorff （BCH）展开中获得的重整化参数；中间阶段，一阶BCH膨胀失效；高能级时，$\omega/2$处的准能隙闭合。我们研究了准周期势驱动的动态局域化性质作为其振幅和配对强度的函数，得到了具有扩展、临界和局域体态的区域，如果驱动是在高频下进行的。在这些，我们表征波包的传播，分别得到弹道，亚扩散和无扩散。在中间周期区，我们发现在相图中有一个在临界态和局域态之间具有迁移率边的附加区域。进一步，我们研究了这些相在时间非周期驱动下的稳定性，观察到系统最终热化：它导致无特征的随机状态，可以用哈密顿量的对称性来描述。在一个开边系统中，我们发现马约拉纳和费米子的局域边缘模式都可以被设计成空间准周期势。此外，我们证明了在驱动设置中创建多个Majorana $0$和$\pi$模态的可能性，即使底层静态哈密顿量处于其平凡相位。最后，我们研究了马约拉纳模式对驱动周期非周期的鲁棒性，表明准周期势产生的马约拉纳模式对退相干具有更强的鲁棒性。此外，我们还找到了一个例子，当选取在拓扑区域的特定点上时，Majorana模式是鲁棒的。
We study the bulk and edge properties of a driven Kitaev chain, where the driving is performed as instantaneous quenches of the on-site energies. We identify three periodic driving regimes: low period, which is equivalent to a static model, with renormalized parameters obtained from the Baker-Campbell-Hausdorff (BCH) expansion; intermediate period, where the first order BCH expansion breaks down; and high period when the quasienergy gap at $\omega/2$ closes. We investigate the dynamical localization properties for the case of quasiperiodic potential driving as a function of its amplitude and the pairing strength, obtaining regimes with extended, critical and localized bulk states, if the driving is performed at high frequencies. In these, we characterize wave-packet propagation, obtaining ballistic, subdiffusive and absence of spreading, respectively. In the intermediate period regime, we find an additional region in the phase diagram with a mobility edge between critical and localized states. Further, we investigate the stability of these phases under time-aperiodicity on the drivings, observing that the system eventually thermalizes: It results in featureless random states which can be described by the symmetry of the Hamiltonian. In a system with open edges, we find that both Majorana and fermionic localized edge modes can be engineered with a spatially quasiperiodic potential. Besides, we demonstrate the possibility of creating multiple Majorana $0$ and $\pi$ modes in a driven setting, even if the underlying static Hamiltonian is in its trivial phase. Lastly, we study the robustness of the Majorana modes against the aperiodicity in the driving period, showing that the ones created via quasiperiodic potential are more robust to the decoherence. Moreover, we find an example where Majorana mode is robust, provided that it is chosen from a special point in the topological region.
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DOI：
10.21468/scipostphys.4.5.025
发表时间：
2017-06
期刊：
arXiv: Disordered Systems and Neural Networks
影响因子：
--
作者：
S. Roy;Ivan M Khaymovich;Arnab Das;R. Moessner
通讯作者：
S. Roy;Ivan M Khaymovich;Arnab Das;R. Moessner
影响因子：
8.6
作者：
Simone Ziraldo;Alessandro Silva;G. Santoro
通讯作者：
Simone Ziraldo;Alessandro Silva;G. Santoro
DOI：
10.1088/0953-8984/29/3/035601
发表时间：
2017-01
期刊：
Journal of Physics: Condensed Matter
影响因子：
--
作者：
M. N. Chen;F. Mei;W. Su;Huaiqiang Wang;Shi-Liang Zhu;Shining Zhu;L. Sheng;Dingyu Xing
通讯作者：
M. N. Chen;F. Mei;W. Su;Huaiqiang Wang;Shi-Liang Zhu;Shining Zhu;L. Sheng;Dingyu Xing
DOI：
10.1103/physreve.90.012110
发表时间：
2014-03
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
A. Lazarides;Arnab Das;R. Moessner
通讯作者：
A. Lazarides;Arnab Das;R. Moessner
影响因子：
8.6
作者：
MOORE, FL;ROBINSON, JC;RAIZEN, MG
通讯作者：
RAIZEN, MG