journal article·2025-04Open access

Electrons, Localization but no Hopping: Disorder as Key for Understanding Charge Transport in Mesoporous Silicon

Tommy Hofmann, Haider Haseeb, Danny Kojda, Natalia Gostkowska‐Lekner, Klaus Habicht

Small Structures· Volume 6· Issue 4

Abstract

This article presents a unique study on the charge carrier transport in electrochemically anodized mesoporous silicon by combining macroscopic conductivity and thermopower measurements. Temperature‐dependent electrical conductivity measurements reveal a thermally activated transport in extended electronic states. An intrinsic variation of the thermal activation energies from sample to sample upon apparent identical synthesis conditions is discussed in terms of microscopic disorder. In a detailed analysis of the activation energies, the existence of a disorder‐dependent mobility edge between localized and extended states in a band tail with exponential density‐of‐states becomes indispensable for understanding the microscopic transport mechanism. The observation of a Meyer–Neldel compensation rule for the conductivity between different samples is a direct consequence of this mobility edge. Temperature‐dependent thermopower measurements provide further, stringent proof for disorder‐dominated transport in extended states above the mobility edge and dispel an alternative explanation attempt for the Meyer–Neldel rule in mesoporous silicon based on multiphonon absorption upon charge carrier transport.
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Research context

OpenAlex topics: Silicon Nanostructures and Photoluminescence · Silicon and Solar Cell Technologies · Thin-Film Transistor Technologies

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department Dynamics and Transport in Quantum Materials Helmholtz‐Zentrum Berlin für Materialien und Energie GmbH Hahn‐Meitner‐Platz 1 14109 Berlin Germany

Institut für Physik und Astronomie Universität Potsdam Karl‐Liebknecht‐Straße 24/25 14476 Potsdam Germany

Funding

Deutsche Forschungsgemeinschaft

References (75)

Show source-provided references
1. 10.1021/acs.nanolett.8b0408310.1021/acs.nanolett.8b04083 ↗
2. 10.1038/ncomms1185010.1038/ncomms11850 ↗
3. Márquez F. · J. Phys. Chem. C · 2011 · 6 · 495
4. 10.1002/adma.20080049110.1002/adma.200800491 ↗
5. 10.1021/acsnano.7b0358010.1021/acsnano.7b03580 ↗
6. 10.1134/1.182511410.1134/1.1825114 ↗
7. 10.1116/1.325360810.1116/1.3253608 ↗
8. 10.1103/PhysRevLett.104.10610210.1103/PhysRevLett.104.106102 ↗
9. 10.3390/ma603115910.3390/ma6031159 ↗
10. 10.1002/adfm.20080125810.1002/adfm.200801258 ↗
11. 10.1063/1.351715810.1063/1.3517158 ↗
12. 10.1063/1.365150910.1063/1.3651509 ↗
13. 10.1002/adfm.20140163310.1002/adfm.201401633 ↗
14. 10.1002/smll.20160326910.1002/smll.201603269 ↗
15. 10.1038/srep1450610.1038/srep14506 ↗
16. 10.1002/macp.20130076610.1002/macp.201300766 ↗
17. 10.1088/0953-8984/27/10/10310210.1088/0953-8984/27/10/103102 ↗
18. 10.1063/1.486055510.1063/1.4860555 ↗
19. 10.1103/PhysRevLett.120.06780110.1103/PhysRevLett.120.067801 ↗
20. 10.1103/PhysRevB.71.22420210.1103/PhysRevB.71.224202 ↗
21. 10.1063/1.163173410.1063/1.1631734 ↗
22. 10.1063/1.161698110.1063/1.1616981 ↗
23. 10.1021/nl034721i10.1021/nl034721i ↗
24. 10.1103/PhysRevB.76.15531310.1103/PhysRevB.76.155313 ↗
25. 10.1007/s00339-010-6189-810.1007/s00339-010-6189-8 ↗
26. 10.1016/j.micromeso.2017.02.02310.1016/j.micromeso.2017.02.023 ↗
27. 10.1016/j.micromeso.2020.11081410.1016/j.micromeso.2020.110814 ↗
28. 10.1007/s12274-022-4123-y10.1007/s12274-022-4123-y ↗
29. 10.1038/ncomms523710.1038/ncomms5237 ↗
30. 10.1103/PhysRevMaterials.4.05540110.1103/PhysRevMaterials.4.055401 ↗
31. 10.1063/1.369668410.1063/1.3696684 ↗
32. Hofmann T. · 2020 · 435
33. 10.1007/978-3-319-05744-610.1007/978-3-319-05744-6 ↗
34. Sailor M. J. · 2012
35. 10.1149/1.163247710.1149/1.1632477 ↗
36. 10.1016/j.addr.2008.03.01710.1016/j.addr.2008.03.017 ↗
37. 10.1002/adma.20170374010.1002/adma.201703740 ↗
38. 10.1038/s41467-020-15217-910.1038/s41467-020-15217-9 ↗
39. 10.1038/srep0302010.1038/srep03020 ↗
40. 10.1007/s10825-012-0390-210.1007/s10825-012-0390-2 ↗
41. Sze S. M. · 2012
42. Mott N. F. · 2012
43. G.Czycholl Theoretische Festkörperphysik: Von den klassischen Modellen zu modernen Forschungsthemen Springer Berlin Heidelberg2007.
44. V.Sa‐Yakanit H. R.Glyde Comments on Condensed Matter Physics Gordon & Breach New York1987.
45. 10.1088/0022-3719/8/4/00310.1088/0022-3719/8/4/003 ↗
46. 10.1080/0001873750010141110.1080/00018737500101411 ↗
47. 10.1103/PhysRevB.91.01430710.1103/PhysRevB.91.014307 ↗
48. 10.1016/S0921-4526(97)00209-310.1016/S0921-4526(97)00209-3 ↗
49. 10.1088/0022-3719/20/21/00810.1088/0022-3719/20/21/008 ↗
50. 10.1088/0022-3719/13/30/01110.1088/0022-3719/13/30/011 ↗
51. 10.1080/1478643700822106110.1080/14786437008221061 ↗
52. 10.1088/0022-3719/7/1/01510.1088/0022-3719/7/1/015 ↗
53. 10.1103/PhysRev.109.149210.1103/PhysRev.109.1492 ↗
54. 10.1016/j.ssc.2012.01.01810.1016/j.ssc.2012.01.018 ↗
55. 10.1002/pssb.222140013810.1002/pssb.2221400138 ↗
56. 10.1103/PhysRevB.90.24520110.1103/PhysRevB.90.245201 ↗
57. 10.1103/PhysRevApplied.10.05406310.1103/PhysRevApplied.10.054063 ↗
58. 10.1063/1.486412510.1063/1.4864125 ↗
59. 10.1063/1.34245010.1063/1.342450 ↗
60. 10.1103/PhysRevLett.78.243310.1103/PhysRevLett.78.2433 ↗
61. 10.1016/0022-4596(84)90284-610.1016/0022-4596(84)90284-6 ↗
62. 10.1063/1.34857110.1063/1.348571 ↗
63. 10.1063/1.146966610.1063/1.1469666 ↗
64. 10.1088/0034-4885/69/4/R0410.1088/0034-4885/69/4/R04 ↗
65. 10.1103/PhysRevB.46.1224410.1103/PhysRevB.46.12244 ↗
66. 10.1103/PhysRevLett.65.61810.1103/PhysRevLett.65.618 ↗
67. Landsberg P. T. · 2016
68. Lundstrom M. · 2009
69. 10.1002/pssb.222067023410.1002/pssb.2220670234 ↗
70. 10.1103/PhysRevB.54.763010.1103/PhysRevB.54.7630 ↗
71. 10.1063/5.000853610.1063/5.0008536 ↗
72. 10.1021/ja01145a12610.1021/ja01145a126 ↗
73. 10.1021/ja01269a02310.1021/ja01269a023 ↗
74. 10.1016/0025-5408(68)90023-810.1016/0025-5408(68)90023-8 ↗
75. 10.1063/1.502805310.1063/1.5028053 ↗