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Ultrafast dynamics of helical Dirac fermions in the topological insulators

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Article: 2013134 | Received 30 Sep 2021, Accepted 28 Nov 2021, Published online: 06 Jan 2022

References

  • Fu L, Kane CL. Topological insulators with inversion symmetry. Phys Rev B. 2007;76:045302.
  • Fu L, Kane CL, Mele EJ. Topological insulators in three dimensions. Phys Rev Lett. 2007;98:106803.
  • Hsieh D, Qian D, Wray L, et al. A topological Dirac insulator in a quantum spin Hall phase. Nature. 2008;452:970–23.
  • Chen YL, Analytis JG, Chu J-H, et al. Experimental realization of a three-dimensional topological insulator, Bi2Te3. Science. 2009;325:178–181.
  • Hsieh D, Xia Y, Qian D, et al. A tunable topological insulator in the spin helical Dirac transport regime. Nature. 2009;460:1101–1105.
  • Hsieh D, Xia Y, Qian D, et al. Observation of time-reversal-protected single-Dirac-cone topological-insulator states in Bi2Te3 and Sb2Te3. Phys Rev Lett. 2009;103:146401.
  • Hsieh D, Xia Y, Wray L, et al. Observation of unconventional quantum spin textures in topological insulators. Science. 2009;323:919–922.
  • Xia Y, Qian D, Hsieh D, et al. Observation of a large-gap topological-insulator class with a single Dirac cone on the surface. Nat Phys. 2009;5:398–402.
  • Zhang H, Liu C-X, Qi X-L, et al. Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface. Nat Phys. 2009;5:438–442.
  • Chen YL, Chu J-H, Analytis JG, et al. Massive Dirac fermion on the surface of a magnetically doped topological insulator. Science. 2010;329:659–662.
  • Hasan MZ, Kane CL. Colloquium: topological insulators. Rev Mod Phys. 2010;82:3045–3067.
  • Qi X-L, Zhang S-C. Topological insulators and superconductors. Rev Mod Phys. 2011;83:1057–1110.
  • Peres NMR. Colloquium: the transport properties of graphene: an introduction. Rev Mod Phys. 2010;82:2673–2700.
  • Park SR, Han J, Kim C, et al. Chiral orbital-angular momentum in the surface states of Bi2Se3. Phys Rev Lett. 2012;108:046805.
  • Cao Y, Waugh JA, Zhang XW, et al. Mapping the orbital wavefunction of the surface states in three-dimensional topological insulators. Nat Phys. 2013;9:499–504.
  • Zhang H, Liu C-X, Zhang S-C. Spin-orbital texture in topological insulators. Phys Rev Lett. 2013;111:066801.
  • Xie Z, He S, Chen C, et al. Orbital-selective spin texture and its manipulation in a topological insulator. Nat Commun. 2014;5:3382.
  • Roushan P, Seo J, Parker CV, et al. Topological surface states protected from backscattering by chiral spin texture. Nature. 2009;460:1106–1109.
  • Edelstein VM. Spin polarization of conduction electrons induced by electric current in two-dimensional asymmetric electron systems. Solid State Commun. 1990;73:233–235.
  • Pesin D, MacDonald AH. Spintronics and pseudospintronics in graphene and topological insulators. Nat Mater. 2012;11:409–416.
  • Soumyanarayanan A, Reyren N, Fert A, et al. Emergent phenomena induced by spin–orbit coupling at surfaces and interfaces. Nature. 2016;539:509–517.
  • Li CH, van ‘T Erve OMJ, Robinson JT, et al. Electrical detection of charge-current-induced spin polarization due to spin-momentum locking in Bi2Se3. Nat Nanotechnol. 2014;9:218–224.
  • Mellnik AR, Lee JS, Richardella A, et al. Spin-transfer torque generated by a topological insulator. Nature. 2014;511:449–451.
  • Wang Y, Deorani P, Banerjee K, et al. Topological surface states originated spin-orbit torques in Bi2Se3. Phys Rev Lett. 2015;114:257202.
  • Kondou K, Yoshimi R, Tsukazaki A, et al. Fermi-level-dependent charge-to-spin current conversion by Dirac surface states of topological insulators. Nat Phys. 2016;12:1027–1031.
  • Qi X-L, Hughes TL, Zhang S-C. Topological field theory of time-reversal invariant insulators. Phys Rev B. 2008;78:195424.
  • Fu L, Kane CL. Probing neutral Majorana fermion edge modes with charge transport. Phys Rev Lett. 2009;102:216403.
  • Noh HJ, Koh H, Oh SJ, et al. Spin-orbit interaction effect in the electronic structure of Bi2Te3 observed by angle-resolved photoemission spectroscopy. EPL (Europhysics Letters). 2008;81:57006.
  • Hor YS, Richardella A, Roushan P, et al. P-type Bi2Se3 for topological insulator and low-temperature thermoelectric applications. Phys Rev B. 2009;79:195208.
  • Ren Z, Taskin AA, Sasaki S, et al. Optimizing Bi2-xSbxTe3-ySey solid solutions to approach the intrinsic topological insulator regime. Phys Rev B. 2011;84:165311.
  • Arakane T, Sato T, Souma S, et al. Tunable Dirac cone in the topological insulator Bi2-xSbxTe3-ySey. Nat Commun. 2012;3:636.
  • Kushwaha SK, Pletikosić I, Liang T, et al. Sn-doped Bi1.1Sb0.9Te2S bulk crystal topological insulator with excellent properties. Nat Commun. 2016;7:11456.
  • Heremans JP, Cava RJ, Samarth N. Tetradymites as thermoelectrics and topological insulators. Nat Rev Mater. 2017;2:17049.
  • McIver JW, Hsieh D, Steinberg H, et al. Control over topological insulator photocurrents with light polarization. Nat Nanotechnol. 2012;7:96–100.
  • Kastl C, Karnetzky C, Karl H, et al. Ultrafast helicity control of surface currents in topological insulators with near-unity fidelity. Nat Commun. 2015;6:6617.
  • Hsieh D, Mahmood F, McIver JW, et al. Selective probing of photoinduced charge and spin dynamics in the bulk and surface of a topological insulator. Phys Rev Lett. 2011;107:077401.
  • Hosur P. Circular photogalvanic effect on topological insulator surfaces: berry-curvature-dependent response. Phys Rev B. 2011;83:035309.
  • Ganichev SD, Ivchenko EL, Danilov SN, et al. Conversion of spin into directed electric current in quantum wells. Phys Rev Lett. 2001;86:4358–4361.
  • Ganichev SD, Prettl W. Spin photocurrents in quantum wells. J Phys Condens Matter. 2003;15:R935–R983.
  • Fu L. Hexagonal warping effects in the surface states of the topological insulator Bi2Te3. Phys Rev Lett. 2009;103:266801.
  • Kuroda K, Arita M, Miyamoto K, et al. Hexagonally deformed Fermi surface of the 3D topological insulator Bi2Se3. Phys Rev Lett. 2010;105:076802.
  • Goff JE, Schaich WL. Theory of the photon-drag effect in simple metals. Phys Rev B. 2000;61:10471–10477.
  • Zhu ZH, Veenstra CN, Zhdanovich S, et al. Photoelectron spin-polarization control in the topological insulator Bi2Se3. Phys Rev Lett. 2014;112:076802.
  • Sobota JA, Yang SL, Kemper AF, et al. Direct optical coupling to an unoccupied Dirac surface state in the topological insulator Bi2Se3. Phys Rev Lett. 2013;111:136802.
  • Wang MC, Qiao S, Jiang Z, et al. Unraveling photoinduced spin dynamics in the topological insulator Bi2Se3. Phys Rev Lett. 2016;116:036601.
  • Soifer H, Gauthier A, Kemper AF, et al. Band-resolved imaging of photocurrent in a topological insulator. Phys Rev Lett. 2019;122:167401.
  • Olbrich P, Golub LE, Herrmann T, et al. Room-temperature high-frequency transport of Dirac fermions in epitaxially grown Sb2Te3- and Bi2Te3-based topological insulators. Phys Rev Lett. 2014;113:096601.
  • Braun L, Mussler G, Hruban A, et al. Ultrafast photocurrents at the surface of the three-dimensional topological insulator Bi2Se3. Nat Commun. 2016;7:13259.
  • Nastos F, Sipe JE. Optical rectification and shift currents in GaAs and GaP response: below and above the band gap. Phys Rev B. 2006;74:035201.
  • Huang YQ, Song YX, Wang SM, et al. Spin injection and helicity control of surface spin photocurrent in a three dimensional topological insulator. Nat Commun. 2017;8:15401.
  • Sun X, Adamo G, Eginligil M, et al. Topological insulator metamaterial with giant circular photogalvanic effect. Sci Adv. 2021;7:eabe5748.
  • Steinberg H, Laloë JB, Fatemi V, et al. Electrically tunable surface-to-bulk coherent coupling in topological insulator thin films. Phys Rev B. 2011;84:233101.
  • Saha K, Garate I. Theory of bulk-surface coupling in topological insulator films. Phys Rev B. 2014;90:245418.
  • Mikhailov SA, Ziegler K. Nonlinear electromagnetic response of graphene: frequency multiplication and the self-consistent-field effects. J Phys Condens Matter. 2008;20:384204.
  • Hendry E, Hale PJ, Moger J, et al. Coherent nonlinear optical response of graphene. Phys Rev Lett. 2010;105:097401.
  • Ishikawa KL. Electronic response of graphene to an ultrashort intense terahertz radiation pulse. New J Phys. 2013;15:055021.
  • Baudisch M, Marini A, Cox JD, et al. Ultrafast nonlinear optical response of Dirac fermions in graphene. Nat Commun. 2018;9:1018.
  • Giorgianni F, Chiadroni E, Rovere A, et al. Strong nonlinear terahertz response induced by Dirac surface states in Bi2Se3 topological insulator. Nat Commun. 2016;7:11421.
  • Brahlek M, Bansal N, Koirala N, et al. Topological-metal to band-insulator transition in (Bi1−xInx)2Se3 thin films. Phys Rev Lett. 2012;109:186403.
  • Wu L, Brahlek M, Valdés Aguilar R, et al. A sudden collapse in the transport lifetime across the topological phase transition in (Bi1−xInx)2Se3. Nat Phys. 2013;9:410–414.
  • Sim S, Brahlek M, Koirala N, et al. Ultrafast terahertz dynamics of hot Dirac-electron surface scattering in the topological insulator Bi2Se3. Phys Rev B. 2014;89:165137.
  • Valdés Aguilar R, Qi J, Brahlek M, et al. Time-resolved terahertz dynamics in thin films of the topological insulator Bi2Se3. Appl Phys Lett. 2015;106:011901.
  • Luo L, Yang X, Liu X, et al. Ultrafast manipulation of topologically enhanced surface transport driven by mid-infrared and terahertz pulses in Bi2Se3. Nat Commun. 2019;10:607.
  • Yang X, Luo L, Vaswani C, et al. Light control of surface–bulk coupling by terahertz vibrational coherence in a topological insulator. Npj Quantum Mater. 2020;5:13.
  • Faisal FHM, Kamiński JZ. Floquet-Bloch theory of high-harmonic generation in periodic structures. Phys Rev A. 1997;56:748–762.
  • Wang YH, Steinberg H, Jarillo-Herrero P, et al. Observation of Floquet-Bloch states on the surface of a topological insulator. Science. 2013;342:453–457.
  • Sobota JA, He Y, Shen Z-X. Angle-resolved photoemission studies of quantum materials. Rev Mod Phys. 2021;93:025006.
  • Xu H, Zhou J, Li J. Light-induced quantum anomalous Hall effect on the 2D surfaces of 3D topological insulators. Adv Sci. 2021;8:2101508.
  • Haldane FDM. Model for a quantum Hall effect without landau levels: condensed-matter realization of the “parity anomaly”. Phys Rev Lett. 1988;61:2015–2018.
  • McIver JW, Schulte B, Stein FU, et al. Light-induced anomalous Hall effect in graphene. Nat Phys. 2020;16:38–41.
  • Mahmood F, Chan C-K, Alpichshev Z, et al. Selective scattering between Floquet–Bloch and Volkov states in a topological insulator. Nat Phys. 2016;12:306–310.
  • Iyer V, Chen YP, Xu X. Ultrafast surface state spin-carrier dynamics in the topological insulator Bi2Te2Se. Phys Rev Lett. 2018;121:026807.
  • Kuroda K, Reimann J, Güdde J, et al. Generation of transient photocurrents in the topological surface state of Sb2Te3 by direct optical excitation with midinfrared pulses. Phys Rev Lett. 2016;116:076801.
  • Kuroda K, Reimann J, Kokh KA, et al. Ultrafast energy- and momentum-resolved surface Dirac photocurrents in the topological insulator Sb2Te3. Phys Rev B. 2017;95:081103.
  • Higuchi T, Heide C, Ullmann K, et al. Light-field-driven currents in graphene. Nature. 2017;550:224–228.
  • Heide C, Higuchi T, Weber HB, et al. Coherent electron trajectory control in graphene. Phys Rev Lett. 2018;121:207401.
  • Reimann J, Schlauderer S, Schmid CP, et al. Subcycle observation of lightwave-driven Dirac currents in a topological surface band. Nature. 2018;562:396–400.
  • Di Pietro P, Adhlakha N, Piccirilli F, et al. Terahertz tuning of Dirac plasmons in Bi2Se3 topological insulator. Phys Rev Lett. 2020;124:226403.
  • Ghimire S, DiChiara AD, Sistrunk E, et al. Observation of high-order harmonic generation in a bulk crystal. Nat Phys. 2011;7:138–141.
  • Schubert O, Hohenleutner M, Langer F, et al. Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations. Nat Photon. 2014;8:119–123.
  • Vampa G, McDonald CR, Orlando G, et al. Theoretical analysis of high-harmonic generation in solids. Phys Rev Lett. 2014;113:073901.
  • Xu Y, Miotkowski I, Liu C, et al. Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator. Nat Phys. 2014;10:956–963.
  • Vampa G, Hammond TJ, Thiré N, et al. Linking high harmonics from gases and solids. Nature. 2015;522:462–464.
  • Liu H, Li Y, You YS, et al. High-harmonic generation from an atomically thin semiconductor. Nat Phys. 2017;13:262–265.
  • Langer F, Hohenleutner M, Huttner U, et al. Symmetry-controlled temporal structure of high-harmonic carrier fields from a bulk crystal. Nat Photon. 2017;11:227–231.
  • Ghimire S, Reis DA. High-harmonic generation from solids. Nat Phys. 2019;15:10–16.
  • Jiang S, Chen J, Wei H, et al. Role of the transition dipole amplitude and phase on the generation of odd and even high-order harmonics in crystals. Phys Rev Lett. 2018;120:253201.
  • Jiang S, Wei H, Chen J, et al. Effect of transition dipole phase on high-order-harmonic generation in solid materials. Phys Rev A. 2017;96:053850.
  • Jiang SC, Gholam-Mirzaei S, Crites E, et al. Crystal symmetry and polarization of high-order harmonics in ZnO. J Phys B. 2019;52:225601.
  • Qian C, Yu C, Jiang S, et al. The role of shift vector in high harmonic generation from non-centrosymmetric topological insulators under strong laser fields. arXiv Preprint. 2021; arXiv:2106.14263.
  • Jiang S, Yu C, Chen J, et al. Smooth periodic gauge satisfying crystal symmetry and periodicity to study high-harmonic generation in solids. Phys Rev B. 2020;102:155201.
  • Yoshikawa N, Tamaya T, Tanaka K. High-harmonic generation in graphene enhanced by elliptically polarized light excitation. Science. 2017;356:736–738.
  • Hafez HA, Kovalev S, Deinert J-C, et al. Extremely efficient terahertz high-harmonic generation in graphene by hot Dirac fermions. Nature. 2018;561:507–511.
  • Avetissian HK, Avetissian AK, Avchyan BR, et al. Multiphoton excitation and high-harmonics generation in topological insulator. J Phys Condens Matter. 2018;30:185302.
  • Jia L, Zhang Z, Yang DZ, et al. High harmonic generation in magnetically-doped topological insulators. Phys Rev B. 2019;100:125144.
  • Bai Y, Fei F, Wang S, et al. High-harmonic generation from topological surface states. Nat Phys. 2021;17:311–315.
  • Zhang S, Pi L, Wang R, et al. Anomalous quantization trajectory and parity anomaly in Co cluster decorated BiSbTeSe2 nanodevices. Nat Commun. 2017;8:977.
  • Bianchi M, Guan D, Bao S, et al. Coexistence of the topological state and a two-dimensional electron gas on the surface of Bi2Se3. Nat Commun. 2010;1:128.
  • King PDC, Hatch RC, Bianchi M, et al. Large tunable Rashba spin splitting of a two-dimensional electron gas in Bi2Se3. Phys Rev Lett. 2011;107:096802.
  • Bahramy MS, King PDC, de La Torre A, et al. Emergent quantum confinement at topological insulator surfaces. Nat Commun. 2012;3:1159.
  • Schmid CP, Weigl L, Grössing P, et al. Tunable non-integer high-harmonic generation in a topological insulator. Nature. 2021;593:385–390.
  • Baykusheva D, Chacón A, Kim D, et al. Strong-field physics in three-dimensional topological insulators. Phys Rev A. 2021;103:023101.
  • Baykusheva D, Chacón A, Lu J, et al. All-optical probe of three-dimensional topological insulators based on high-harmonic generation by circularly polarized laser fields. Nano Lett. 2021;21:8970–8978.