pith. sign in

arxiv: 1907.03930 · v2 · pith:OKJT5PVCnew · submitted 2019-07-09 · ❄️ cond-mat.mtrl-sci

Modulation of crystal and electronic structures in topological insulators by rare-earth doping

Zengji Yue , Weiyao Zhao , David Cortie , Zhi Li , Guangsai Yang , Xiaolin Wang This is my paper

Pith reviewed 2026-05-25 00:44 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords topological insulatorsrare earth dopingShubnikov-de Haas oscillationsFermi surfacedensity functional theorymagnetotransportnontrivial phaseSb2Te3
0
0 comments X

The pith

Rare-earth doping alters crystal and electronic structures to manipulate the Fermi surface in topological insulators.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper investigates magnetotransport properties of Sm0.1Sb1.9Te3 single crystals, observing Shubnikov-de Haas oscillations that arise from mixed bulk and surface state contributions. Analysis of these oscillations using the Lifshitz-Kosevich theory produces a Landau-level fan diagram indicating a nontrivial phase, confirming topological character. Density functional theory calculations reveal that Sm doping modifies the crystal structure and electronic structure compared to pure Sb2Te3. This establishes rare-earth doping as a method to tune the Fermi surface while preserving topological features, opening possibilities for magnetic topological insulators.

Core claim

Magnetotransport measurements on Sm0.1Sb1.9Te3 crystals under fields up to 14 T show SdH oscillations from mixed bulk and surface states with three-dimensional Fermi surface topology. Fitting the oscillatory resistance with Lifshitz-Kosevich theory yields a Landau-level fan diagram with the expected nontrivial phase. DFT calculations show Sm doping changes the crystal and electronic structures relative to undoped Sb2Te3, demonstrating that rare earth doping effectively manipulates the Fermi surface of topological insulators.

What carries the argument

Shubnikov-de Haas oscillations analyzed through Lifshitz-Kosevich fitting to extract nontrivial phase from Landau fan diagram, together with density functional theory computations of structural and electronic changes induced by doping.

If this is right

  • Rare-earth doping provides a route to adjust the Fermi surface position in topological insulators.
  • The nontrivial topological phase persists under rare-earth doping as indicated by the Berry phase extraction.
  • Angular-dependent measurements confirm three-dimensional character of the Fermi surface in the doped material.
  • The approach holds potential for realizing exotic topological effects in magnetic topological insulators.
  • Mixed bulk and surface contributions to SdH oscillations still permit identification of surface state topology.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Doping with other rare-earth elements could introduce magnetic ordering while maintaining topological surface states.
  • The structural changes identified by DFT may influence the strength of spin-orbit coupling or band inversion in related compounds.
  • Similar doping strategies might be tested in other topological insulator families such as Bi2Se3 to broaden the tuning range.
  • Transport measurements at higher fields or lower temperatures could further separate bulk and surface channels.

Load-bearing premise

The oscillatory resistance can be cleanly separated into bulk and surface contributions, and the Lifshitz-Kosevich fit reliably extracts a nontrivial phase without significant interference from multiple bands or disorder effects.

What would settle it

A Landau-level fan diagram for the doped crystals that yields a trivial phase of zero instead of the expected nontrivial value, or experimental confirmation that the crystal structure remains unchanged upon doping.

Figures

Figures reproduced from arXiv: 1907.03930 by David Cortie, Guangsai Yang, Weiyao Zhao, Xiaolin Wang, Zengji Yue, Zhi Li.

Figure 2
Figure 2. Figure 2 [PITH_FULL_IMAGE:figures/full_fig_p014_2.png] view at source ↗
Figure 3
Figure 3. Figure 3 [PITH_FULL_IMAGE:figures/full_fig_p015_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: DFT calculations of t [PITH_FULL_IMAGE:figures/full_fig_p015_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Band [PITH_FULL_IMAGE:figures/full_fig_p016_5.png] view at source ↗
read the original abstract

We study magnetotransport in a rare earth doped topological insulator, Sm0.1Sb1.9Te3 single crystals, under magnetic fields up to 14 T. It is found that that the crystals exhibit Shubnikov de Haas oscillations in their magneto-transport behaviour at low temperatures and high magnetic fields. The SdH oscillations result from the mixed contributions of bulk and surface states. We also investigate the SdH oscillations in different orientations of the magnetic field, which reveals a three dimensional Fermi surface topology. By fitting the oscillatory resistance with the Lifshitz Kosevich theory, we draw a Landau-level fan diagram that displays the expected nontrivial phase. In addition, the density functional theory calculations shows that Sm doping changes the crystal structure and electronic structure compared with pure Sb2Te3. This work demonstrates that rare earth doping is an effective way to manipulate the Fermi surface of topological insulators. Our results hold potential for the realization of exotic topological effects in magnetic topological insulators.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript reports magnetotransport on Sm0.1Sb1.9Te3 crystals up to 14 T, observing SdH oscillations attributed to mixed bulk and surface states. Angle-dependent measurements indicate 3D Fermi-surface topology. Lifshitz-Kosevich fitting of the oscillatory resistance yields a Landau fan diagram with the expected nontrivial phase. DFT calculations show that Sm doping alters both crystal and electronic structure relative to undoped Sb2Te3. The central conclusion is that rare-earth doping provides an effective route to manipulate the Fermi surface of topological insulators.

Significance. If the nontrivial-phase assignment survives a documented separation of bulk and surface contributions, the work would supply concrete experimental and computational evidence that rare-earth substitution can tune the Fermi surface of a topological insulator while preserving its topological character. The combination of angle-dependent SdH data with DFT structural relaxation constitutes a strength that could be cited in follow-up studies on magnetic topological insulators.

major comments (2)
  1. [Abstract and SdH analysis] Abstract and magnetotransport section: the oscillatory resistance is stated to arise from 'mixed contributions of bulk and surface states,' yet the Lifshitz-Kosevich fit and subsequent Landau fan diagram are presented without any description of frequency filtering, multi-component decomposition, or subtraction of the 3D bulk term before assigning the intercept. Because the nontrivial phase is the primary experimental signature supporting Fermi-surface manipulation, the absence of this separation procedure directly affects the load-bearing claim.
  2. [Landau fan diagram] Landau fan diagram construction: no quantitative information is supplied on the number of observed frequencies, the goodness-of-fit to the Lifshitz-Kosevich formula, or error bars on the extracted intercept. In the presence of multiple bands or disorder broadening, an apparent phase shift of 1/2 can arise from interference even when the surface states are topologically trivial; explicit checks against these alternatives are required.
minor comments (2)
  1. [Abstract] Abstract contains the repeated word 'that that' and subject-verb disagreement ('calculations shows').
  2. [Experimental methods] No mention of sample characterization (e.g., XRD, EDX stoichiometry confirmation) or of the precise field orientation used for the angle-dependent data.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their detailed review and constructive suggestions. We have carefully considered the major comments and provide point-by-point responses below. We will make revisions to improve the clarity of the SdH analysis section.

read point-by-point responses

  1. Referee: [Abstract and SdH analysis] Abstract and magnetotransport section: the oscillatory resistance is stated to arise from 'mixed contributions of bulk and surface states,' yet the Lifshitz-Kosevich fit and subsequent Landau fan diagram are presented without any description of frequency filtering, multi-component decomposition, or subtraction of the 3D bulk term before assigning the intercept. Because the nontrivial phase is the primary experimental signature supporting Fermi-surface manipulation, the absence of this separation procedure directly affects the load-bearing claim.

    Authors: We acknowledge that the description of the SdH data processing in the original manuscript was insufficient. The oscillatory resistance was obtained by subtracting a smooth background from the magnetoresistance data, and the Lifshitz-Kosevich fitting was applied to the resulting oscillatory component. The angle-dependent measurements indicate that the Fermi surface has a 3D character, consistent with bulk contributions, but the phase analysis suggests a nontrivial contribution likely from the surface states. To address the referee's concern, we will expand the methods section to include details on the background subtraction procedure, any Fourier filtering applied, and a discussion of the challenges in fully separating bulk and surface terms in this doped system. We believe this will strengthen the presentation without altering the central conclusions. revision: yes

  2. Referee: [Landau fan diagram] Landau fan diagram construction: no quantitative information is supplied on the number of observed frequencies, the goodness-of-fit to the Lifshitz-Kosevich formula, or error bars on the extracted intercept. In the presence of multiple bands or disorder broadening, an apparent phase shift of 1/2 can arise from interference even when the surface states are topologically trivial; explicit checks against these alternatives are required.

    Authors: We agree that providing quantitative metrics for the fitting procedure will enhance the rigor of the analysis. In the revised manuscript, we will report the frequencies identified from FFT analysis, the goodness-of-fit parameters for the Lifshitz-Kosevich formula, and error bars on the Landau fan diagram intercept. Regarding potential interference effects, we note that the consistency of the phase across different field orientations and the agreement with DFT calculations on the modified electronic structure support the nontrivial Berry phase assignment. We will add a brief discussion addressing possible alternative interpretations to preempt such concerns. revision: yes

Circularity Check

0 steps flagged

No significant circularity; experimental fits and DFT are independent of inputs

full rationale

The paper reports SdH oscillations fitted via Lifshitz-Kosevich theory to produce a Landau fan diagram whose intercept yields the nontrivial phase, plus separate DFT calculations on doped vs. undoped structures. Neither step reduces to a self-definition, a fitted parameter renamed as prediction, or a self-citation chain; the phase is an output of the standard LK procedure applied to measured resistance, and the structural changes are computed outputs. The derivation remains self-contained against external benchmarks (standard magnetotransport analysis and DFT codes) with no load-bearing ansatz or uniqueness theorem imported from the authors' prior work.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The central claim rests on the assumption that the observed oscillations arise from a well-defined Fermi surface whose topology can be extracted via standard LK analysis and that DFT accurately captures doping-induced structural changes; no free parameters, axioms, or invented entities are explicitly introduced in the abstract.

pith-pipeline@v0.9.0 · 5713 in / 1197 out tokens · 16420 ms · 2026-05-25T00:44:54.559218+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

52 extracted references · 52 canonical work pages

  1. [1]

    Z.; Kane, C

    Hasan, M. Z.; Kane, C. L., Colloquium: Topological insulators. Reviews of Modern Physics 2010, 82 (4), 3045-3067

    work page 2010

  2. [2]

    Reviews of Modern Physics 2011, 83 (4), 1057-1110

    Qi, X.-L.; Zhang, S.-C., Topological insulators and superconductors. Reviews of Modern Physics 2011, 83 (4), 1057-1110

    work page 2011

  3. [3]

    Journal of the Physical Society of Japan 2013, 82 (10), 102001

    Ando, Y., Topological Insulator Materials. Journal of the Physical Society of Japan 2013, 82 (10), 102001

    work page 2013

  4. [4]

    L.; Mele, E

    Kane, C. L.; Mele, E. J., Quantum Spin Hall Effect in Graphene. Physical Review Letters 2005, 95 (22), 226801

    work page 2005

  5. [5]

    Science 2013, 340 (6129), 167-170

    Chang, C.-Z.; Zhang, J.; Feng, X.; Shen, J.; Zhang, Z.; Guo, M.; Li, K.; Ou, Y.; Wei, P.; Wang, L.-L.; Ji, Z.-Q.; Feng, Y.; Ji, S.; Chen, X.; Jia, J.; Dai, X.; Fang, Z.; Zhang, S.-C.; He, K.; Wang, Y.; Lu, L.; Ma, X.-C.; Xue, Q.-K., Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator. Science 2013, 340 (6129), 167-170

    work page 2013

  6. [6]

    -L.; Hughes, T

    Qi, X. -L.; Hughes, T. L.; Zhang, S. -C., Topological field theory of time -reversal invariant insulators. Physical Review B 2008, 78 (19), 195424

    work page 2008

  7. [7]

    Physical Review Letters 2012, 108 (26), 266806

    Wang, X.; Du, Y.; Dou, S.; Zhang, C., Room Temperature Giant and Linear Magnetoresistance in Topological Insulator Bi2Te3 Nanosheets. Physical Review Letters 2012, 108 (26), 266806

    work page 2012

  8. [8]

    Science Advances 2016, 2 (3)

    Yue, Z.; Cai, B.; Wang, L.; Wang, X.; Gu, M., Intrinsically core -shell plasmonic dielectric nanostructures with ultrahigh refractive index. Science Advances 2016, 2 (3)

    work page 2016

  9. [9]

    2017, 8, 15354

    Yue, Z.; Xue, G.; Liu, J.; Wang, Y.; Gu, M., Nanometric holograms based on a topological insulator material. 2017, 8, 15354

    work page 2017

  10. [10]

    APL Photonics 2019, 4 (4), 040801

    Lu, H.; Li, Y.; Yue, Z.; Mao, D.; Zhao, J., Topological insulator based Tamm plasmon polaritons. APL Photonics 2019, 4 (4), 040801

    work page 2019

  11. [11]

    Nature Communications 2018, 9 (1), 4413

    Yue, Z.; Ren, H.; Wei, S.; Lin, J.; Gu, M., Angular -momentum nanometrology in an ultrathin plasmonic topological insulator film. Nature Communications 2018, 9 (1), 4413

    work page 2018

  12. [12]

    Advanced Topological Insulators 2019, 45-70

    Yue, Z.; Wang, X.; Gu, M., Topological insulator materials for advanced optoelectronic devices. Advanced Topological Insulators 2019, 45-70

    work page 2019

  13. [13]

    Nanoscale 2019, 11 (11), 4759-4766

    Lu, H.; Dai, S.; Yue, Z.; Fan, Y.; Cheng, H.; Di, J.; Mao, D.; Li, E.; Mei, T.; Zhao, J., Sb 2 Te 3 topological insulator: surface plasmon resonance and application in refractive index monitoring. Nanoscale 2019, 11 (11), 4759-4766

    work page 2019

  14. [14]

    L.; Chu, J.-H.; Analytis, J

    Chen, Y. L.; Chu, J.-H.; Analytis, J. G.; Liu, Z. K.; Igarashi, K.; Kuo, H.-H.; Qi, X. L.; Mo, S. K.; Moore, R. G.; Lu, D. H.; Hashimoto, M.; Sasagawa, T.; Zhang, S. C.; Fisher, I. R.; Hussain, Z.; Shen, Z. X., Massive Dirac Fermion on the Surface of a Magnetically Doped Topological Insulator. Science 2010, 329 (5992), 659-662

    work page 2010

  15. [15]

    Science 2010, 329 (5987), 61-64

    Yu, R.; Zhang, W.; Zhang, H.-J.; Zhang, S.-C.; Dai, X.; Fang, Z., Quantized Anomalous Hall Effect in Magnetic Topological Insulators. Science 2010, 329 (5987), 61-64

    work page 2010

  16. [16]

    Chemical Communications 2013, 49 (99), 11635-11637

    Seo, D.; Yue, Z.; Wang, X.; Levchenko, I.; Kumar, S.; Dou, S.; Ostrikov, K., Tuning of magnetization i n vertical graphenes by plasma -enabled chemical conversion of organic precursors with different oxygen content. Chemical Communications 2013, 49 (99), 11635-11637

    work page 2013

  17. [17]

    Advanced Materials 2015, 27 (33), 4823-4829

    Chen, T.; Liu, W.; Zheng, F.; Gao, M.; Pan, X.; van der Laan, G.; Wang, X.; Zhang, Q.; S ong, F.; Wang, B.; Wang, B.; Xu, Y.; Wang, G.; Zhang, R., High -Mobility Sm -Doped Bi 2Se3 Ferromagnetic Topological Insulators and Robust Exchange Coupling. Advanced Materials 2015, 27 (33), 4823-4829

    work page 2015

  18. [18]

    physica status solidi (a) 0 (0), 1800726

    Hesjedal, T., Rare Earth Doping of Topological Insul ators: A Brief Review of Thin Film and Heterostructure Systems. physica status solidi (a) 0 (0), 1800726

    work page

  19. [19]

    E.; Collins -McIntyre, L

    Harrison, S. E.; Collins -McIntyre, L. J.; Li, S.; Baker, A. A.; Shelford, L. R.; Huo, Y.; Pushp, A.; Parkin, S. S. P.; Harris, J. S.; Arenholz, E.; Laan, G. v. d.; Hesjedal, T., Study of Gd-doped Bi2Te3 thin films: Molecular beam epitaxy growth and magnetic properties. Journal of Applied Physics 2014, 115 (2), 023904

    work page 2014

  20. [20]

    Applied Physics Letters 2012, 101 (15), 152107

    Yue, Z.; Wang, X.; Dou, S., Angular -dependences of giant in -plane and interlay er magnetoresistances in Bi2Te3 bulk single crystals. Applied Physics Letters 2012, 101 (15), 152107

    work page 2012

  21. [21]

    J.; Wang, X

    Yue, Z. J.; Wang, X. L.; Du, Y.; Mahboobeh, S. M.; Frank, F. Y.; Cheng, Z. X.; Dou, S. X., Giant and anisotropic magnetoresistances in p-type Bi-doped Sb2Te3 bulk single crystals. EPL (Europhysics Letters) 2012, 100 (1), 17014

    work page 2012

  22. [22]

    J.; Zhu, C

    Yue, Z. J.; Zhu, C. B.; Dou, S. X.; Wang, X. L., Observation of field-induced polarization of valleys in p-type Sb2Te3 single crystals. Physical Review B 2012, 86 (19), 195120

    work page 2012

  23. [23]

    Applied Physics Letters 2015, 107 (11), 112101

    Yue, Z.; Wang, X.; Yan, S., Semimetal -semiconductor transition and giant linear magnetoresistances in three -dimensional Dirac semimetal Bi 0.96Sb0.04 single crystals. Applied Physics Letters 2015, 107 (11), 112101

    work page 2015

  24. [24]

    Journal of the Physical Society of Japan 2015, 84 (4), 044717

    Yue, Z.; Wang, X.; Wang, D.; Wang, J.; Culcer, D.; Dou, S., Crossover of Magnetoresistance from Fourfold to Twofold Symmetry in SmB 6 Single Crystal, a Topological Kondo Insulator. Journal of the Physical Society of Japan 2015, 84 (4), 044717

    work page 2015

  25. [25]

    -L.; Veldhorst, M

    Xiang, F.-X.; Wang, X. -L.; Veldhorst, M. ; Dou, S. -X.; Fuhrer, M. S., Observation of topological transition of Fermi surface from a spindle torus to a torus in bulk Rashba spin -split BiTeCl. Physical Review B 2015, 92 (3), 035123

    work page 2015

  26. [26]

    Physical Review B 2019, 99 (16), 165133

    Zhao, W.; Cortie, D.; Chen, L.; Li, Z.; Yue, Z.; Wang, X., Qua ntum oscillations in iron -doped single crystals of the topological insulator Bi2Te3. Physical Review B 2019, 99 (16), 165133

    work page 2019

  27. [28]

    Computational Materials Science 1996, 6 (1), 15-50

    Kresse, G.; Furthmüller, J., Efficiency of ab -initio total energy calculations for metals and semiconductors using a plane-wave basis set. Computational Materials Science 1996, 6 (1), 15-50

    work page 1996

  28. [29]

    Physical Review B 1993, 47 (1), 558-561

    Kresse, G.; Hafner, J., Ab initio molecular dynamics for liquid metals. Physical Review B 1993, 47 (1), 558-561

    work page 1993

  29. [30]

    Physical Review B 1996, 54 (16), 11169-11186

    Kresse, G.; Furthmüller, J., Efficient iterative schemes for ab initio total -energy calculations using a plane-wave basis set. Physical Review B 1996, 54 (16), 11169-11186

    work page 1996

  30. [31]

    Physical Review B 1999, 59 (3), 1758-1775

    Kresse, G.; Joubert, D., From ultrasoft pseudopotentials to the projector augmented -wave method. Physical Review B 1999, 59 (3), 1758-1775

    work page 1999

  31. [32]

    P.; Burke, K.; Ernzerhof, M., Generalized Gradient Approximation Made Simple

    Perdew, J. P.; Burke, K.; Ernzerhof, M., Generalized Gradient Approximation Made Simple. Physical Review Letters 1996, 77 (18), 3865-3868

    work page 1996

  32. [33]

    Physical Review B 2016, 93 (22), 224425

    Steiner, S.; Khmelevskyi, S.; Marsmann, M.; Kresse, G., Calculation of the magnetic anisotropy with projected -augmented-wave methodology an d the case study of disordered Fe 1-xCox alloys. Physical Review B 2016, 93 (22), 224425

    work page 2016

  33. [34]

    The Journal of Chemical Physics 2010, 132 (15), 154104

    Grimme, S.; Antony, J.; Ehrlich, S.; Krieg, H., A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT -D) for the 94 elements H -Pu. The Journal of Chemical Physics 2010, 132 (15), 154104

    work page 2010

  34. [35]

    L.; Shic k, A

    Kozub, A. L.; Shic k, A. B.; Máca, F.; Kolorenč, J.; Lichtenstein, A. I., Electronic structure and magnetism of samarium and neodymium adatoms on free-standing graphene. Physical Review B 2016, 94 (12), 125113

    work page 2016

  35. [36]

    Locht, I. L. M.; Kvashnin, Y. O.; Rodrigues, D. C. M.; Perei ro, M.; Bergman, A.; Bergqvist, L.; Lichtenstein, A. I.; Katsnelson, M. I.; Delin, A.; Klautau, A. B.; Johansson, B.; Di Marco, I.; Eriksson, O., Standard model of the rare earths analyzed from the Hubbard I approximation. Physical Review B 2016, 94 (8), 085137

    work page 2016

  36. [37]

    J.; Zhang, Q.; Analytis, J

    Kong, D.; Chen, Y.; Cha, J. J.; Zhang, Q.; Analytis, J. G.; Lai, K.; Liu, Z.; Hong, S. S.; Koski, K. J.; Mo, S.-K.; Hussain, Z.; Fisher, I. R.; Shen, Z.-X.; Cui, Y., Ambipolar field effect in the ternary topological insulator (BixSb1-x)2Te3 by composition tuning. Nat Nano 2011, 6 (11), 705-709

    work page 2011

  37. [38]

    Zhang, J.; Chang, C. -Z.; Zhang, Z.; Wen, J.; Feng, X.; Li, K.; Liu, M.; He, K.; Wang, L.; Chen, X.; Xue, Q.-K.; Ma, X.; Wang, Y., Band structure engineering in (Bi1−xSbx)2Te3 ternary topological insulators. Nat Commun 2011, 2, 574

    work page 2011

  38. [39]

    L.; Zhang, S.; Zhang, Z., Direct Atom -by-Atom Chemical Identification of Nanostructures and Defects of Topological Insulators

    Jiang, Y.; Wang, Y.; Sagendorf, J.; West, D.; Kou, X.; Wei, X.; He, L.; Wang, K. L.; Zhang, S.; Zhang, Z., Direct Atom -by-Atom Chemical Identification of Nanostructures and Defects of Topological Insulators. Nano Letters 2013, 13 (6), 2851-2856

    work page 2013

  39. [40]

    Nanoscale 2013, 5 (19), 9283-9288

    Yue, Z.; Levchenko, I.; Kumar, S.; Seo, D.; Wang, X.; Dou, S.; Ostrikov, K., Large networks of vertical multi-layer graphenes with morphology -tunable magnetoresistance. Nanoscale 2013, 5 (19), 9283-9288

    work page 2013

  40. [41]

    J.; Zhao, K .; Ni, H.; Zhao, S

    Yue, Z. J.; Zhao, K .; Ni, H.; Zhao, S. Q.; Kong, Y. C.; Wong, H. K.; Wang, A. J., Photo -induced magnetoresistance enhancement in manganite heterojunction at room temperature. Journal of Physics D: Applied Physics 2011, 44 (9), 095103

    work page 2011

  41. [42]

    J.; Wang, X

    Yue, Z. J.; Wang, X. L.; Du, Y.; Mahboobeh, S. M.; Yun, F. F.; Cheng, Z. X.; Dou, S. X., Giant and anisotropic magnetoresistances in p-type Bi-doped Sb2Te3 bulk single crystals. EPL (Europhysics Letters) 2012, 100 (1), 17014

    work page 2012

  42. [43]

    -X.; Srinivasan, A.; Du, Z

    Xiang, F. -X.; Srinivasan, A.; Du, Z. Z.; Klochan, O.; Dou, S. -X.; Hamilton, A. R.; Wang, X. -L., Thickness-dependent electronic structure in WTe2 thin films. Physical Review B 2018, 98 (3), 035115

    work page 2018

  43. [44]

    S.; Geim, A

    Novoselov, K. S.; Geim, A. K.; Morozov, S. V.; Jiang, D.; Katsnelson, M. I.; Grigorieva, I. V.; Dubonos, S. V.; Firso v, A. A., Two -dimensional gas of massless Dirac fermions in graphene. Nature 2005, 438, 197

    work page 2005

  44. [45]

    S.; Xiong, J.; Cava, R

    Qu, D.-X.; Hor, Y. S.; Xiong, J.; Cava, R. J.; Ong, N. P., Quantum Oscillations and Hall Anomaly of Surface States in the Topological Insulator Bi2Te3. Science 2010, 329 (5993), 821-824

    work page 2010

  45. [46]

    N.; Liu, M.; Cava, R

    Liang, T.; Gibson, Q.; Ali, M. N.; Liu, M.; Cava, R. J.; Ong, N. P., Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2. Nature Materials 2014, 14, 280

    work page 2014

  46. [47]

    Press, Cambridge 1972

    Ziman, J., Principles of the theory of solids, Cambridge U. Press, Cambridge 1972

    work page 1972

  47. [48]

    Physical Review B 2007, 76 (7), 075201

    Wang, G.; Cagin, T., Electronic structure of the thermoelectric materials Bi2Te3 and Sb2Te3 from first-principles calculations. Physical Review B 2007, 76 (7), 075201

    work page 2007

  48. [49]

    L.; Krause, H

    Anderson, T. L.; Krause, H. B., Refinement of the Sb 2Te3 and Sb 2Te2Se structures and their relationship to nonstoichiometric Sb2Te3−ySey compounds. Acta Crystallographica Section B: Structural Crystallography and Crystal Chemistry 1974, 30 (5), 1307-1310

    work page 1974

  49. [50]

    E.; Collins -McIntyre, L

    Harrison, S. E.; Collins -McIntyre, L. J.; Zhang, S. L.; Baker, A. A.; Figueroa, A. I.; Kellock, A. J.; Pushp, A.; Parkin, S. S. P.; Harris, J. S.; van der Laan, G.; Hesjedal, T., Study of Dy -doped Bi2Te3: thin film growth and magnetic properties. Journal of Physics: Condensed Matter 2015, 27 (24), 245602

    work page 2015

  50. [51]

    E.; Collins -McIntyre, L

    Harrison, S. E.; Collins -McIntyre, L. J.; Li, S.; Baker, A. A.; Shelford, L. R.; Huo, Y.; Pushp, A.; Parkin, S. S. P.; Harris, J. S.; Arenholz, E.; van der Laan, G.; Hesjedal, T., Study of Gd -doped Bi2Te3 thin films: Molecular beam epitaxy growth and magnetic properties. Journal of Applied Physics 2014, 115 (2), 023904

    work page 2014

  51. [52]

    E.; Collins -McIntyre, L

    Harrison, S. E.; Collins -McIntyre, L. J.; Zhang, S. L.; Baker, A. A.; Figueroa, A. I.; Kellock, A. J.; Pushp, A.; Chen, Y. L.; Parkin, S. S. P.; Harris, J. S.; Laan, G. v. d.; Hesjedal, T., Study of Ho-doped Bi2Te3 topological insulator thin films. Applied Physics Letters 2015, 107 (18), 182406

    work page 2015

  52. [53]

    E.; Collins -McIntyre, L

    Harrison, S. E.; Collins -McIntyre, L. J.; Schönherr, P.; Vailionis, A.; Srot, V.; van Aken, P. A.; Kellock, A. J.; Pushp, A.; Parkin, S. S. P.; Harris, J. S.; Zhou, B.; Chen, Y. L.; Hesjedal, T., Massive Dirac Fermion Observed in Lanthanide -Doped Topological Insulator Thin Films. Scientific Reports 2015, 5, 15767. Table 1 TIs m µ (cm2V-1s-1) n (cm-3) RH...

    work page 2015