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Imaging currents in HgTe quantum wells in the quantum spin Hall regime (1212.2203v2)

Published 10 Dec 2012 in cond-mat.mes-hall

Abstract: The quantum spin Hall (QSH) state is a genuinely new state of matter characterized by a non-trivial topology of its band structure. Its key feature is conducting edge channels whose spin polarization has potential for spintronic and quantum information applications. The QSH state was predicted and experimentally demonstrated to exist in HgTe quantum wells. The existence of the edge channels has been inferred from the fact that local and non-local conductance values in sufficiently small devices are close to the quantized values expected for ideal edge channels and from signatures of the spin polarization. The robustness of the edge channels in larger devices and the interplay between the edge channels and a conducting bulk are relatively unexplored experimentally, and are difficult to assess via transport measurements. Here we image the current in large Hallbars made from HgTe quantum wells by probing the magnetic field generated by the current using a scanning superconducting quantum interference device (SQUID). We observe that the current flows along the edge of the device in the QSH regime, and furthermore that an identifiable edge channel exists even in the presence of disorder and considerable bulk conduction as the device is gated or its temperature is raised. Our results represent a versatile method for the characterization of new quantum spin Hall materials systems, and confirm both the existence and the robustness of the predicted edge channels.

Citations (222)

Summary

  • The paper demonstrates that scanning SQUID microscopy reveals localized, edge-dominated current flow over averaged bulk conduction.
  • It utilizes Hall bars from HgTe/(Hg,Cd)Te quantum wells above 6.3 nm, confirming the emergence of the quantum spin Hall state with topological edge channels.
  • The findings show that edge conduction remains robust against gate voltage and temperature variations, with non-ballistic behavior likely due to scattering.

Imaging Currents in HgTe Quantum Wells in the Quantum Spin Hall Regime

This paper focuses on the experimental observation of the Quantum Spin Hall (QSH) effect in HgTe quantum wells, with a particular emphasis on the visualization of edge currents using a scanning superconducting quantum interference device (SQUID). The QSH state is marked by its unique topological properties and exhibits counter-propagating spin-polarized edge states alongside an insulating bulk. These characteristics have paramount significance for understanding new quantum phases and potentially revolutionizing spintronic applications.

Through the use of SQUID microscopy, the researchers provide direct evidence of edge currents in large Hall bars fabricated from HgTe quantum wells. Unlike traditional transport measurements, which may suffer from averaging effects and mask spatially localized phenomena, the authors employ localized magnetic field imaging to directly identify current distributions. A key finding is that, in the QSH regime, currents preferentially flow along the device's edges even in the presence of disorder and substantial bulk conductivity.

Devices investigated include Hall bars fabricated from HgTe/(Hg,Cd)Te quantum well structures, crucially above the critical thickness of 6.3 nm necessary for QSH state realization. The SQUID measurements unveil distinct magnetic profiles associated with edge-dominated vs. bulk-dominated conduction. Under conditions promoting edge conduction, two sharp zero crossings in the magnetic field profiles were observed, tracing current flow along the device's perimeter. This contrasts with the smoother, homogeneous profiles seen when bulk conduction dominates, confirming the presence and resilience of edge channels in the QSH regime.

Notably, the paper reports that these edge states persist under variations in gate voltage and temperature, revealing a coexistence of edge and bulk conduction over a wide parameter range. It was found that the edge conduction remains robust and relatively temperature independent, while the bulk conduction is subject to thermal activation. These observations underscore the non-trivial topological protection of edge states, which remain largely unaffected by disorder and operate effectively even when interrupted by potential scattering sites.

The findings suggest that in HgTe wells exceeding several microns, edge channels remain non-ballistic over their entire length, as evidenced by deviations from the expected quantized resistance. Here, the non-ballistic nature likely results from edge channel scattering sites, potentially stemming from spatial fluctuations in quantum well parameters or impurities.

Further implications of this paper suggest that the SQUID imaging technique could be applied as a versatile tool for characterizing other topological insulators. Combined with traditional transport measurements, these imaging capabilities enhance the understanding of the QSH effect by elucidating spatial current flow in various device architectures and operational regimes.

Future work can delve into optimizing quantum well structures for more consistent realization of ballistic edge conduction across extensive device lengths. Furthermore, exploration of materials with different topological classifications could be spurred by these findings, testing the generalizability of robust edge conduction across a broader range of quantum systems. The experimental methodology employed here presents an essential platform for visualizing and manipulating edge states in the continuing advancement of quantum materials science.