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Low-temperature surface conduction in the Kondo insulator SmB$_6$ (1211.5104v4)

Published 21 Nov 2012 in cond-mat.str-el, cond-mat.mes-hall, and cond-mat.mtrl-sci

Abstract: We study the transport properties of the Kondo insulator SmB$_6$ with a specialized configuration designed to distinguish bulk-dominated conduction from surface-dominated conduction. We find that as the material is cooled below 4 K, it exhibits a crossover from bulk to surface conduction with a fully insulating bulk. We take the robustness and magnitude of the surface conductivity, as is manifest in the literature of SmB$_6$, to be strong evidence for the topological insulator metallic surface states recently predicted for this material.

Citations (262)

Summary

  • The paper reveals that below 4 K, SmB₆ shifts from 3D bulk conduction to 2D surface conduction due to topological protection.
  • The authors employed innovative lateral, vertical, and hybrid resistance measurements with an eight-contact configuration to isolate conduction pathways.
  • The findings challenge previous models by demonstrating that topologically protected surface states account for the low-temperature conductivity in a correlated electron system.

Low-Temperature Surface Conduction in the Kondo Insulator SmB₆

The paper entitled "Low-temperature surface conduction in the Kondo insulator SmB₆" provides significant insights into the conduction properties of the Kondo insulator SmB₆, advancing our understanding of topological insulators with correlated electron systems. The research team conducted transport experiments to delineate bulk-dominated conduction from surface-dominated conduction in SmB₆, employing a specialized sample configuration to observe these properties.

Key Findings and Methodology

The authors utilized a sample geometry designed to investigate the transport properties of SmB₆ between different temperature regimes. By employing both lateral and vertical measurement configurations, they were able to determine whether the conduction process is dominated by surface or bulk properties. The findings demonstrate that below a temperature of 4 K, SmB₆ transitions from a three-dimensional (3D) bulk conductor to a two-dimensional (2D) surface conductor. This crossover is substantiated by observing a saturation in resistivity and Hall effect at low temperatures, indicative of surface conduction within a fully insulating bulk.

The experimental configuration included eight coplanar electrical contacts on opposite surfaces of a thin SmB₆ sample. Conventional four-terminal resistance measurements were conducted, as well as vertical and hybrid measurements, to detect variations in the conduction path. The results indicate dramatic increases in resistance in certain configurations below the crossover temperature, aligning with a state where the bulk becomes insulating and forces conduction through the surface.

Implications and Theoretical Insights

The investigation supports the prediction of Kondo insulators as potential topological insulators, featuring robust, metallic surface states. The evidence for topological surface states in SmB₆ provides clarity to the long-standing mystery surrounding the residual resistivity of the material at low temperatures. Prior models that could not account for the observed conductivity have been challenged by these results. Instead, the research suggests that observed conductivity originates from topologically protected on-surface conduction, present within the band gap.

These findings suggest a necessity to reinterpret prior transport experiments focused on SmB₆, taking into account the surface conduction phenomenon. This includes considerations of mechanisms that explain the low resistivity, large carrier density, and significant pressure-dependent changes in Hall resistivity.

Future Directions

The implications of SmB₆ being a topological insulator are profound. This research underscores the value of exploring strongly correlated 3D topological states of matter, offering theoretical frameworks to potentially understand new quantum phases and phase transitions. Future experiments should focus on quantum oscillations and employ gating techniques to confirm carrier densities and further investigate topological edge states.

The analysis of SmB₆ contributes to broader investigations into the interplay between strong electron correlations and topological properties. This line of inquiry has opportunities for refining theoretical models and understanding beyond single-band considerations, with possible observations of ambipolar conduction behavior due to topological effects.

Conclusion

The paper delivers compelling evidence that SmB₆ exhibits surface-dominated conductivity below 4 K, functioning as a topological insulator with surface states protected by time-reversal symmetry. These results hold significance for the paper of correlated electron systems and expand the landscape of topological materials, prompting numerous prospective investigations in the field.