Quantum-Hall to Insulator Transition in Ultra-Low-Carrier-Density Topological Insulator Films and a Hidden Phase of the Zeroth Landau Level

Salehi, Maryam; Shapourian, Hassan; Rosen, Ilan Thomas; Han, Myung‐Geun; Moon, Jisoo; Shibayev, Pavel; Jain, Deepti; Goldhaber‐Gordon, David; Oh, Seongshik

doi:10.1002/adma.201901091

Title: Quantum-Hall to Insulator Transition in Ultra-Low-Carrier-Density Topological Insulator Films and a Hidden Phase of the Zeroth Landau Level

Journal Article · Mon Jul 01 00:00:00 EDT 2019 · Advanced Materials

DOI:https://doi.org/10.1002/adma.201901091· OSTI ID:1566877

^[1];

^[2]; Rosen, Ilan Thomas ^[3];

^[4];

^[1]; Shibayev, Pavel ^[1]; Jain, Deepti ^[1];

^[5];

^[1]

Rutgers, The State Univ. of New Jersey, Piscataway, NJ (United States)
Univ. of Chicago, Chicago, IL (United States)
Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)

A key feature of the topological surface state under a magnetic field is the presence of the zeroth Landau level at the zero energy. Nonetheless, it is challenging to probe the zeroth Landau level due to large electron-hole puddles smearing its energy landscape. Furthermore, by developing ultra-low-carrier density topological insulator Sb₂Te₃ films, an extreme quantum limit of the topological surface state is reached and a hidden phase at the zeroth Landau level is uncovered. First, an unexpected quantum-Hall-to-insulator-transition near the zeroth Landau level is discovered. Then, through a detailed scaling analysis, it is found that this quantum-Hall-to-insulator-transition belongs to a new universality class, implying that the insulating phase discovered here has a fundamentally different origin from those in nontopological systems.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012704; AC02−98CH10886; AC02‐76SF00515

OSTI ID:: 1566877

Alternate ID(s):: OSTI ID: 1530473

Report Number(s):: BNL-212137-2019-JAAM

Journal Information:: Advanced Materials, Vol. 31, Issue 36; ISSN 0935-9648

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 15 works

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References (49)

Current scaling in the integer quantum Hall effect Wei, H. P.; Engel, L. W.; Tsui, D. C. Physical Review B, Vol. 50, Issue 19 https://doi.org/10.1103/PhysRevB.50.14609	journal	November 1994
Quantum Hall liquid-to-insulator transition in ${In}_{1 - x}$ ${Ga}_{x}$ As/InPt heterostructures Pan, W.; Shahar, D.; Tsui, D. C. Physical Review B, Vol. 55, Issue 23 https://doi.org/10.1103/PhysRevB.55.15431	journal	June 1997
Optical Properties of Titanium-Doped Sb2Te3 Single Crystals Drašar, Č.; Lošťák, P.; Navrátil, J. physica status solidi (b), Vol. 191, Issue 2 https://doi.org/10.1002/pssb.2221910226	journal	October 1995
Integer Quantum Hall Effect of Interacting Electrons: Dynamical Scaling and Critical Conductivity Huckestein, Bodo; Backhaus, Michael Physical Review Letters, Vol. 82, Issue 25 https://doi.org/10.1103/PhysRevLett.82.5100	journal	June 1999
Landau Quantization and the Thickness Limit of Topological Insulator Thin Films of ${Sb}_{2} {Te}_{3}$ Jiang, Yeping; Wang, Yilin; Chen, Mu Physical Review Letters, Vol. 108, Issue 1 https://doi.org/10.1103/PhysRevLett.108.016401	journal	January 2012
Quantum critical behaviour of the plateau-insulator transition in the quantum Hall regime Visser, A. de; Ponomarenko, L. A.; Galistu, G. Journal of Physics: Conference Series, Vol. 51 https://doi.org/10.1088/1742-6596/51/1/088	journal	November 2006
Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator Wu, L.; Salehi, M.; Koirala, N. Science, Vol. 354, Issue 6316 https://doi.org/10.1126/science.aaf5541	journal	December 2016
Influence of Ti doping on galvanomagnetic properties and valence band energy spectrum of Sb _{2- x} Ti _x Te ₃ single crystals Kulbachinskii, V. A.; Miura, N.; Nakagawa, H. Journal of Physics: Condensed Matter, Vol. 11, Issue 27 https://doi.org/10.1088/0953-8984/11/27/304	journal	January 1999
Transport coefficients of titanium-doped Sb2Te3 single crystals Drašar, Č.; Steinhart, M.; Lošťák, P. Journal of Solid State Chemistry, Vol. 178, Issue 4 https://doi.org/10.1016/j.jssc.2005.02.005	journal	April 2005
Chiral Majorana fermion modes in a quantum anomalous Hall insulator–superconductor structure He, Qing Lin; Pan, Lei; Stern, Alexander L. Science, Vol. 357, Issue 6348 https://doi.org/10.1126/science.aag2792	journal	July 2017
Scaling in Plateau-to-Plateau Transition: A Direct Connection of Quantum Hall Systems with the Anderson Localization Model Li, Wanli; Vicente, C. L.; Xia, J. S. Physical Review Letters, Vol. 102, Issue 21 https://doi.org/10.1103/PhysRevLett.102.216801	journal	May 2009
Metal-to-insulator switching in quantum anomalous Hall states Kou, Xufeng; Pan, Lei; Wang, Jing Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9474	journal	October 2015
A magnetic heterostructure of topological insulators as a candidate for an axion insulator Mogi, M.; Kawamura, M.; Yoshimi, R. Nature Materials, Vol. 16, Issue 5 https://doi.org/10.1038/nmat4855	journal	February 2017
Solution to the Hole-Doping Problem and Tunable Quantum Hall Effect in Bi ₂ Se ₃ Thin Films Moon, Jisoo; Koirala, Nikesh; Salehi, Maryam Nano Letters, Vol. 18, Issue 2 https://doi.org/10.1021/acs.nanolett.7b04033	journal	January 2018
Probing the Plateau-Insulator Quantum Phase Transition in the Quantum Hall Regime van Schaijk, R. T. F.; de Visser, A.; Olsthoorn, S. M. Physical Review Letters, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevLett.84.1567	journal	February 2000
Quantum Hall Superfluids in Topological Insulator Thin Films Tilahun, Dagim; Lee, Byounghak; Hankiewicz, E. M. Physical Review Letters, Vol. 107, Issue 24 https://doi.org/10.1103/PhysRevLett.107.246401	journal	December 2011
Quantum Hall effect on top and bottom surface states of topological insulator (Bi1−xSbx)2Te3 films Yoshimi, R.; Tsukazaki, A.; Kozuka, Y. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7627	journal	April 2015
Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator Xu, Yang; Miotkowski, Ireneusz; Liu, Chang Nature Physics, Vol. 10, Issue 12 https://doi.org/10.1038/nphys3140	journal	November 2014
Experimental evidence for a two-dimensional quantized Hall insulator Hilke, M.; Shahar, D.; Song, S. H. Nature, Vol. 395, Issue 6703 https://doi.org/10.1038/27160	journal	October 1998
Scaling of the quantum Hall plateau-plateau transition in graphene Giesbers, A. J. M.; Zeitler, U.; Ponomarenko, L. A. Physical Review B, Vol. 80, Issue 24 https://doi.org/10.1103/PhysRevB.80.241411	journal	December 2009
Universal Conductivity at the Quantum Hall Liquid to Insulator Transition Shahar, D.; Tsui, D. C.; Shayegan, M. Physical Review Letters, Vol. 74, Issue 22 https://doi.org/10.1103/PhysRevLett.74.4511	journal	May 1995
Universal Singularities in the Integral Quantum Hall Effect Pruisken, A. M. M. Physical Review Letters, Vol. 61, Issue 11 https://doi.org/10.1103/PhysRevLett.61.1297	journal	September 1988
Landau Quantization of Topological Surface States in ${Bi}_{2} {Se}_{3}$ Cheng, Peng; Song, Canli; Zhang, Tong Physical Review Letters, Vol. 105, Issue 7 https://doi.org/10.1103/PhysRevLett.105.076801	journal	August 2010
Model Hamiltonian for topological insulators Liu, Chao-Xing; Qi, Xiao-Liang; Zhang, HaiJun Physical Review B, Vol. 82, Issue 4 https://doi.org/10.1103/PhysRevB.82.045122	journal	July 2010
Colloquium: Topological insulators Hasan, M. Z.; Kane, C. L. Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067 https://doi.org/10.1103/RevModPhys.82.3045	journal	November 2010
Momentum-resolved Landau-level spectroscopy of Dirac surface state in ${Bi}_{2} {Se}_{3}$ Hanaguri, T.; Igarashi, K.; Kawamura, M. Physical Review B, Vol. 82, Issue 8 https://doi.org/10.1103/PhysRevB.82.081305	journal	August 2010
Record Surface State Mobility and Quantum Hall Effect in Topological Insulator Thin Films via Interface Engineering Koirala, Nikesh; Brahlek, Matthew; Salehi, Maryam Nano Letters, Vol. 15, Issue 12 https://doi.org/10.1021/acs.nanolett.5b03770	journal	November 2015
Topological Insulator Materials Ando, Yoichi Journal of the Physical Society of Japan, Vol. 82, Issue 10, Article No. 102001 https://doi.org/10.7566/JPSJ.82.102001	journal	October 2013
Large bulk resistivity and surface quantum oscillations in the topological insulator ${Bi}_{2} {Te}_{2} Se$ Ren, Zhi; Taskin, A. A.; Sasaki, Satoshi Physical Review B, Vol. 82, Issue 24 https://doi.org/10.1103/PhysRevB.82.241306	journal	December 2010
Observation of the Quantum Anomalous Hall Insulator to Anderson Insulator Quantum Phase Transition and its Scaling Behavior Chang, Cui-Zu; Zhao, Weiwei; Li, Jian Physical Review Letters, Vol. 117, Issue 12 https://doi.org/10.1103/PhysRevLett.117.126802	journal	September 2016
Scaling theory of the integer quantum Hall effect Huckestein, Bodo Reviews of Modern Physics, Vol. 67, Issue 2 https://doi.org/10.1103/RevModPhys.67.357	journal	April 1995
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator Fu, Liang; Kane, C. L. Physical Review Letters, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevLett.100.096407	journal	March 2008
Band structure engineering in (Bi1−xSbx)2Te3 ternary topological insulators Zhang, Jinsong; Chang, Cui-Zu; Zhang, Zuocheng Nature Communications, Vol. 2, Issue 1 https://doi.org/10.1038/ncomms1588	journal	September 2011
Effects of Electron-Electron Interactions on the Integer Quantum Hall Transitions Lee, Dung-Hai; Wang, Ziqiang Physical Review Letters, Vol. 76, Issue 21 https://doi.org/10.1103/PhysRevLett.76.4014	journal	May 1996
Two-dimensional surface state in the quantum limit of a topological insulator Analytis, James G.; McDonald, Ross D.; Riggs, Scott C. Nature Physics, Vol. 6, Issue 12 https://doi.org/10.1038/nphys1861	journal	November 2010
Quantum transport of two-species Dirac fermions in dual-gated three-dimensional topological insulators Xu, Yang; Miotkowski, Ireneusz; Chen, Yong P. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11434	journal	May 2016
Global phase diagram in the quantum Hall effect Kivelson, Steven; Lee, Dung-Hai; Zhang, Shou-Cheng Physical Review B, Vol. 46, Issue 4 https://doi.org/10.1103/PhysRevB.46.2223	journal	July 1992
Observation of Zeeman effect in topological surface state with distinct material dependence Fu, Ying-Shuang; Hanaguri, T.; Igarashi, K. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms10829	journal	February 2016
Finite-Size and Composition-Driven Topological Phase Transition in (Bi _{1– x} In _x ) ₂ Se ₃ Thin Films Salehi, Maryam; Shapourian, Hassan; Koirala, Nikesh Nano Letters, Vol. 16, Issue 9 https://doi.org/10.1021/acs.nanolett.6b02044	journal	August 2016
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator Fu, L.; Kane, C. L. Topologica, Vol. 2, Issue 1 https://doi.org/10.3731/topologica.2.013	journal	January 2009
Superconducting proximity effect and Majorana fermions at the surface of a topological insulator Fu, Liang; Kane, C. L. arXiv https://doi.org/10.48550/arxiv.0707.1692	text	January 2007
Band structure engineering in (Bi1-xSbx)2Te3 ternary topological insulators Zhang, Jinsong; Chang, Cui-Zu; Zhang, Zuocheng arXiv https://doi.org/10.48550/arxiv.1106.1755	text	January 2011
Topological Insulator Materials Ando, Yoichi arXiv https://doi.org/10.48550/arxiv.1304.5693	text	January 2013
Quantum Hall Effect on Top and Bottom Surface States of Topological Insulator (Bi1-xSbx)2Te3 Films Yoshimi, R.; Tsukazaki, A.; Kozuka, Y. arXiv https://doi.org/10.48550/arxiv.1409.3326	text	January 2014
Quantum transport of two-species Dirac fermions in dual-gated three-dimensional topological insulators Xu, Yang; Miotkowski, Ireneusz; Chen, Yong P. arXiv https://doi.org/10.48550/arxiv.1511.04597	text	January 2015
Observation of the quantum-anomalous-Hall insulator to Anderson insulator quantum phase transition and its scaling behavior Chang, Cui-Zu; Zhao, Weiwei; Li, Jian arXiv https://doi.org/10.48550/arxiv.1608.06323	text	January 2016
Solution to the hole-doping problem and tunable quantum Hall effect in Bi$_{2}$Se$_{3}$ thin films Moon, Jisoo; Koirala, Nikesh; Salehi, Maryam arXiv https://doi.org/10.48550/arxiv.1801.05437	text	January 2018
Probing the plateau-insulator quantum phase transition in the quantum Hall regime van Schaijk, R. T. F.; de Visser, A.; Olsthoorn, S. arXiv https://doi.org/10.48550/arxiv.cond-mat/9812035	text	January 1998
Spin-transfer torque and magnetoresistance in superconducting spin valves Linder, Jacob; Yokoyama, Takehito; Sudbø, Asle Physical Review B, Vol. 79, Issue 22 https://doi.org/10.1103/physrevb.79.224504	journal	June 2009

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