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
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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