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Geometric phase in p-n junctions of helical edge states

机译：螺旋边缘状态的p-n结中的几何相位

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摘要

The quantum spin Hall effect is endowed with topologically protected edge modes with a gapless Dirac spectrum. Applying a magnetic field locally along the edge leads to a gapped edge spectrum with the opposite parity for winding of spin texture for conduction and valence bands. Using Pancharatnam's prescription for the geometric phase it is shown that mismatch of this parity across a p-n junction, which could be engineered into the edge by electrical gate induced doping, leads to a phase dependence in the two-terminal conductance which is quantized to either zero or π. It is further shown that application of a nonuniform magnetic field across the junction could lead to a nonquantized value of this geometric phase which is tunable between zero and π. A current asymmetry measurement which is shown to be robust against electron-electron interactions is proposed to infer the appearance of this Pancharatnam's geometric phase in transport across such junctions.
机译：量子自旋霍尔效应具有无间隙狄拉克光谱的受拓扑保护的边缘模式。沿边缘局部施加磁场会导致具有相反奇偶性的带隙边缘频谱，从而使自旋纹理缠绕成导带和价带。使用Pancharatnam的几何相位处方，可以证明通过pn结可以通过电栅极感应的掺杂将其奇偶性错配到边缘，从而导致两端电导的相位相关性（量化为零）或π。进一步表明，跨结施加不均匀的磁场可能会导致该几何相位的非量化值在0和π之间可调。提出了一种对电子-电子相互作用具有鲁棒性的电流不对称测量方法，以推断该Pancharatnam几何相在通过此类结的传输中的出现。

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  • 来源
    《Physical review》 |2016年第8期|085310.1-085310.6|共6页
  • 作者

    Disha Wadhawan; Poonam Mehta; Sourin Das;

  • 作者单位

    Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India;

    School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India;

    Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India,Max-Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany;

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