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arXiv 1503.00685cond-mat.mes-hall
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具有周向量子化表面态子带的准弹道拓扑绝缘体纳米结构中的磁场诱导螺旋模和拓扑跃迁

Magnetic field induced helical mode and topological transitions in a quasi-ballistic topological insulator nanoribbon with circumferentially quantized surface state sub-bands

Luis A. Jauregui, Michael T. Pettes, Leonid P. Rokhinson, Li Shi, Yong P. Chen

摘要:

拓扑绝缘体(TI)纳米线(NW)的核心是绝缘的,二维自旋螺旋狄拉克费米子拓扑表面态(TSS)被周向量子化为一系列一维子带,具有新颖的拓扑物理和应用前景。通过芯部的轴向磁通量(Φ)驱动表面子带中的周期性拓扑转变,从具有整数倍带隙的狄拉克点(DP)的全部双简并转变为具有整数倍带隙的狄拉克点(DP)。(包括零)通量量子(Φ $_0$ = h/e,其中h是普朗克常量,e是电子电荷),以包含拓扑保护的,在半整数通量量子处具有恢复DP的非简并1D自旋螺旋模式。预测所得到的磁导表现出Aharonov-Bohm振荡(ABO),其最大值交替地发生在半整数或整数通量量子处(称为π-ABO或0-ABO),这取决于费米波矢量(k $_F$,周期为2π/C,C为NW周长)。在这里,我们报告了在Bi $_2$ Te $_3$ TI纳米晶体中0-ABO和π-ABO之间的这种k $_F$ -周期性交替的清楚观察(NR,矩形横截面NW)场效应器件,其在~2 μm上表现出准弹道输运(如长度无关电导,ABO振幅随温度(T)升高呈指数衰减,以及所提取的相位相干长度的1/T依赖性)。在半通量量子和零通量量子下,作为栅极电压的函数的电导也表现出明显的反相关振荡,其周期为k $_F$(周期为2π/C,当C包围费米波长2π/k $_F$的整数倍时等效),与周向量子化的表面子带一致。我们还提取了最小的费米能量和动量TSS出现的体价带,与已知的Bi $_2$ Te $_3$能带结构。

英文摘要:

A topological insulator (TI) nanowire (NW), where the core is insulating and the 2D spin-helical Dirac fermion topological surface states (TSS) are circumferentially quantized into a series of 1D sub-bands, promises novel topological physics and applications. An axial magnetic flux (Φ) through the core drives periodic topological transitions in the surface sub-bands, changing from being all doubly-degenerate with a gapped Dirac point (DP) at integer (including zero) flux quanta (Φ$_0$ = h/e, with h being the Planck constant and e the electron charge), to contain a topologically-protected, non-degenerate 1D spin helical mode with restored DP at half-integer flux quanta. The resulting magnetoconductance is predicted to exhibit Aharonov-Bohm oscillations (ABO) with maxima occurring alternatively at half-integer or integer flux quanta (referred to as π-ABO or 0-ABO), depending periodically on the Fermi wavevector (k$_F$, with period 2π/C, C being the NW circumference). Here, we report a clear observation of such k$_F$-periodic alternations between 0-ABO and π-ABO in Bi$_2$Te$_3$ TI nanoribbon (NR, a rectangular cross sectional NW) field effect devices, which exhibit quasi-ballistic transport over ~2 μm (as manifested in length-independent conductance, exponential decaying ABO amplitude with increasing temperature (T), and an 1/T dependence of the extracted phase coherence length). The conductances as functions of the gate voltage at half and zero flux quanta also exhibit clear, but anti-correlated oscillations periodic in k$_F$ (with period 2π/C, equivalently when C encloses an integer multiples of Fermi wavelength 2π/k$_F$), consistent with the circumferentially quantized surface sub-bands. We also extract the minimal Fermi energy and momentum for TSS to emerge out of the bulk valence band, in agreement with the known Bi$_2$Te$_3$ bandstructure.

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