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  • Letter
  • Open Access

Two-dimensional topological Anderson insulator in a HgTe-based semimetal

D. A. Khudaiberdiev1, Z. D. Kvon2,3, M. S. Ryzhkov1, D. A. Kozlov4, N. N. Mikhailov2, and A. Pimenov1

Phys. Rev. Research 7, L022033 – Published 9 May, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L022033

Abstract

We report the experimental observation of Anderson localization in two-dimensional (2D) electrons and holes in the bulk of HgTe quantum wells with a semimetallic spectrum and under strong disorder. Surprisingly, the one-dimensional (1D) edge channels, arising from the spectrum's inversion, demonstrate remarkable robustness against disorder due to topological protection. Strong disorder induces a mobility gap in the bulk, enabling access to the 1D edge states and thereby realizing the two-dimensional topological Anderson insulator (TAI) state. Nonlocal transport measurements confirm the emergence of topologically protected edge channels. The TAI state appears to be very sensitive to an external magnetic field applied perpendicular to the sample. The weak magnetic field of 30 mT breaks the topological protection of 1D edge channels, thus turning the system into an ordinary Anderson insulator. At a field of 0.5 T, the 2D bulk electrons become delocalized, and the system transforms into a quantum Hall liquid.

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References (44)

  1. M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82, 3045 (2010).
  2. X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83, 1057 (2011).
  3. X.-L. Qi and S.-C. Zhang, The quantum spin Hall effect and topological insulators, Phys. Today 63 (1), 33 (2010).
  4. J. E. Moore and L. Balents, Topological invariants of time-reversal-invariant band structures, Phys. Rev. B 75, 121306(R) (2007)
  5. J. E. Moore, The birth of topological insulators, Nature (London) 464, 194 (2010).
  6. C. Kane and E. Mele, Z2 topological order and the quantum spin Hall effect, Phys. Rev. Lett. 95, 146802 (2005).
  7. B. A. Bernevig, T. L. Hughes, and S.-C. Zhang, Quantum spin Hall effect and topological phase transition in HgTe quantum wells, Science 314, 1757 (2006).
  8. M. König, S. Wiedmann, C. Brüne, A. Roth, H. Buhmann, L. W. Molenkamp, X.-L. Qi, and S.-C. Zhang, Quantum spin Hall insulator state in HgTe quantum wells, Science 318, 766 (2007).
  9. A. Roth, C. Brüne, H. Buhmann, L. W. Molenkamp, J. Maciejko, X.-L. Qi, and S.-C. Zhang, Nonlocal transport in the quantum spin Hall state, Science 325, 294 (2009).
  10. G. M. Gusev, Z. D. Kvon, O. A. Shegai, N. N. Mikhailov, S. A. Dvoretsky, and J. Portal, Transport in disordered two-dimensional topological insulators, Phys. Rev. B 84, 121302(R) (2011).
  11. J. Li, R. L. Chu, J. K. Jain, and S. Q. Shen, Topological Anderson insulator, Phys. Rev. Lett. 102, 136806 (2009).
  12. H. Jiang, Lei Wang, Q.-F. Sun, and X. C. Xie, Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells, Phys. Rev. B 80, 165316 (2009).
  13. C. W. Groth, M. Wimmer, A. R. Akhmerov, J. Tworzydło, and C. W. J. Beenakker, Theory of the topological Anderson insulator, Phys. Rev. Lett. 103, 196805 (2009).
  14. Y. Xing, L. Zhang, and J. Wang, Topological Anderson insulator phenomena, Phys. Rev. B 84, 035110 (2011).
  15. R. Chen, D.-H. Xu, and B. Zhou, Topological Anderson insulator phase in a Dirac-semimetal thin film, Phys. Rev. B 95, 245305 (2017).
  16. D. D. Vu and S. Das Sarma, Weak quantization of noninteracting topological Anderson insulator, Phys. Rev. B 106, 134201 (2022).
  17. B. D. Assunção, G. J. Ferreira, and C. H. Lewenkopf, Phase transitions and scale invariance in topological Anderson insulators, Phys. Rev. B 109, L201102 (2024).
  18. S. Stützer, Y. Plotnik, Y. Lumer, P. Titum, N. H. Lindner, M. Segev, M. C. Rechtsman, and A. Szameit, Photonic topological Anderson insulators, Nature (London) 560, 461 (2018).
  19. G.-G. Liu, Y. Yang, X. Ren, H. Xue, X. Lin, Y.-H. Hu, H.-X. Sun, B. Peng, P. Zhou, Y. Chong, and B. Zhang, Topological Anderson insulator in disordered photonic crystals, Phys. Rev. Lett. 125, 133603 (2020).
  20. M. Ren, Y. Yu, B. Wu, X. Qi, Y. Wang, X. Yao, J. Ren, Z. Guo, H. Jiang, H. Chen, X.-J. Liu, Z. Chen, and Y. Sun, Realization of gapped and ungapped photonic topological Anderson insulators, Phys. Rev. Lett. 132, 066602 (2024).
  21. E. J. Meier, F. A. An, A. Dauphin, M. Meffei, P. Massignan, T. L. Hughes, and B. Gadway, Observation of the topological Anderson insulator in disordered atomic wires, Science 362, 929 (2018).
  22. S. Nakajima, N. Takei, K. Sakuma, Y. Kuno, P. Marra, and Y. Takahashi, Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms, Nat. Phys. 17, 844 (2021).
  23. Z. Q. Zhang, B. L. Wu, J. Song, and H. Jiang, Topological Anderson insulator in electric circuits, Phys. Rev. B 100, 184202 (2019).
  24. W. Zhang, D. Zou, Q. Pei, W. He, J. Bao, H. Sun, and X. Zhang, Experimental observation of higher-order topological Anderson insulators, Phys. Rev. Lett. 126, 146802 (2021).
  25. X. Shi, I. Kiorpelidis, R. Chaunsali, V. Achilleos, G. Theocharis, and J. Yang, Disorder-induced topological phase transition in a one-dimensional mechanical system, Phys. Rev. Res. 3, 033012 (2021).
  26. J. Gospodarič, A. Shuvaev, N. N. Mikhailov, Z. D. Kvon, E. G. Novik, and A. Pimenov, Energy spectrum of semimetallic HgTe quantum wells, Phys. Rev. B 104, 115307 (2021).
  27. N. N. Vasil'ev, Z. D. Kvon, N. N. Mikhailov, and S. D. Ganichev, Two-Dimensional semimetal HgTe in 14-nm-thick quantum wells, JETP Lett. 113, 466 (2021).
  28. D. Khudaiberdiev, Z. D. Kvon, M. V. Entin, D. A. Kozlov, N. N. Mikhailov, and M. Ryzhkov, Mesoscopic conductance fluctuations in 2D HgTe semimetal, Nanomaterials 13, 2882 (2023).
  29. Z. D. Kvon, E. B. Olshanetsky, M. A. Drofa, and N. N. Mikhailov, Anderson localization in a two-dimensional electron-hole system, JETP Lett. 114, 341 (2021).
  30. P. W. Anderson, Absence of diffusion in certain random lattices, Phys. Rev. 109, 1492 (1958).
  31. E. B. Olshanetsky, Z. D. Kvon, G. M. Gusev, A. D. Levin, O. E. Raichev, N. N. Mikhailov, and S. A. Dvoretsky, Persistence of a two-dimensional topological insulator state in wide HgTe quantum wells, Phys. Rev. Lett. 114, 126802 (2015).
  32. Z. D. Kvon, D. A. Kozlov, E. B. Olshanetsky, G. M. Gusev, N. N. Mikhailov, and S. A. Dvoretsky, Topological insulators based on HgTe, Usp. Fiz. Nauk. 190, 673 (2020).
  33. S. Benlenqwanssa, S. S. Krishtopenko, M. Meyer, B. Benhamou-Bui, L. Bonnet, A. Wolf, C. Bray, C. Consejo, S. Ruffenach, S. Nanot, J.-B. Rodriguez, E. Tourni, F. Hartmann, S. Höfling, F. Teppe, and B. Jouault, Multi-probe analysis to separate edge currents from bulk currents in quantum spin Hall insulators and to analyze their temperature dependence, Phys. Rev. Appl. 22, 064059, (2024).
  34. G. M. Gusev, Z. D. Kvon, E. B. Olshanetsky, A. D. Levin, Y. Krupko, J. C. Portal, N. N. Mikhailov, and S. A. Dvoretsky, Temperature dependence of the resistance of a two-dimensional topological insulator in a HgTe quantum well, Phys. Rev. B 89, 125305 (2014).
  35. E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Scaling theory of localization: Absence of quantum diffusion in two dimensions, Phys. Rev. Lett. 42, 673 (1979).
  36. S. U. Piatrusha, E. S. Tikhonov, Z. D. Kvon, N. N. Mikhailov, S. A. Dvoretsky, and V. S. Khrapai, Topological protection brought to light by the time-reversal symmetry breaking, Phys. Rev. Lett. 123, 056801 (2019).
  37. M. König, H. Buhmann, L. W. Molenkamp, T. Huges, C. X. Liu, X. L. Qi, and S.-C. Zhang, The quantum spin Hall effect: Theory and experiment, J. Phys. Soc. Jpn. 77, 031007 (2008).
  38. H. W. Jiang, C. E. Johnson, K. L. Wang, and S. T. Hannahs, Observation of magnetic-field-induced delocalization: Transition from Anderson insulator to quantum Hall conductor, Phys. Rev. Lett. 71, 1439 (1993).
  39. R. J. Hughes, J. T. Nicholls, J. E. Frost, E. H. Linfield, M. Pepper, C. J. Ford, D. A. Ritchie, G. A. Jones, E. Kogan, and M. Kaveh, Magnetic-field-induced insulator-quantum Hall-insulator transition in a disordered two-dimensional electron gas, J. Phys.: Condens. Matter 6, 4763 (1994).
  40. D. Shahar, D. C. Tsui, and J. E. Cunningham, Observation of the ν=1 quantum Hall effect in a strongly localized two-dimensional system, Phys. Rev. B 52, R14372(R) (1995).
  41. B. Scharf, A. Matos-Abiague, and J. Fabian, Magnetic properties of HgTe quantum wells, Phys. Rev. B 86, 075418 (2012).
  42. M. V. Durnev and S. A. Tarasenko, Magnetic field effects on edge and bulk states in topological insulators based on HgTe/CdHgTe quantum wells with strong natural interface inversion asymmetry, Phys. Rev. B 93, 075434 (2016).
  43. E. B. Olshanetsky, Z. D. Kvon, G. M. Gusev, N. N. Mikhailov, and S. A. Dvoretsky, Two dimensional topological insulator in quantizing magnetic fields, Physica E 99, 335 (2018).
  44. S. Shamim, P. Shekhar, W. Beugeling, J. Böttcher, A. Budewitz, J. B. Mayer, L. Lunczer, E. M. Hankiewicz, H. Buhmann, and L. W. Molenkamp, Counterpropagating topological and quantum Hall edge channels, Nat. Commun. 13, 2682 (2022).

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