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1 ICTP Ultrafast nanophotonics - optical control of coherent electron - Hirofumi Yanagisawa LMU, MPQ

2 Hirofumi Yanagisawa Japan (Tokyo) Switzerland (Zurich) Germany (Munich)

3 Laser-induced electron emission from a metallic tip

4 Slow response Phonon system nano-, pico- sec Ultrafast response Electronic system femto-, atto- sec CW laser Pulse Laser (ps) Pulse Laser (fs) 5 Nature series 10 PRL PRL 30, 1193 Nucl. Instr. And Meth. A 256,191 PRL 96,

5 Ultrafast nanophotonics? Time Size nm um mm m Size atto-femto Here! pico-nano milli-sec Time

6 Ultrafast nanophotonics Light Nano structure

7

8 k Nano-sphere r=100nm ~wavelength (800nm)

9 sec Atto Femto Pico Nano Electron Phonon (lattice) 1st 2nd 2nd Plasmonics Tunnelling Rescattering Quiver Sub-cycle Weak field Laser absorption El-El scattering (heating El) El-Ph scattering (heating Ph) Phase transition Coherent phonon Surface Diffusion Melting Strong field El: Electron Ph: Phonon

10 Sphere Nano-structures Star Tip Adv. Mater. 26, 2353 Bowtie

11 Laser-induced electron emission from a metallic tip

12 Reference books - Principles of Nano-Optics Novotny and Hecht - Physics of Surface and Interfaces Harald Ibach - Field Emission and Field Ionization Robert Gomer

13 We learn today 1. Characeterization of tip apex 2. Beauty of nanophotonics in laser-induced electron emission from tip 3. Optical control of coherent electron wave

14 Let s learn more about tip and electron emission Why electron source?

15 1nm = 10-9 m Electron Electron Microscopy Best probe for Nano-object Electron gun Nano-object Detector Atom The TEM picture is taken from

16 Introduction 2 Electron gun- M. Aeschlimann, Nature 446, 301 (2007) 1fs = sec Space 3D Dynamical information New Phenomena Coherence Laser pulse Electron gun ~100nm and ~100fs Tip Time Pulsed laser Brightness lens Tip B. Cho, PRL 92, (2004) C. Oshima, Nature 396, 557 (1998) ~1fs P. Hommelhoff, PRL 96, (2006)

17 How can we get electrons? Surface and work function

18 Work function Work functions Ionization Energy (surface) (atom) E vac 2-6eV Work function Φ E F Vacuum Metal Change surface to surface

19 How can we get electrons? 1. Thermal emission 2. Photoemission 3. Field emission 4. Photo-field emission (fs) 5. Optical field emission (as)

20 How can we get electrons? e -x Thermionic emission Photoemission E vac E vac photon E F E F J T 2 exp(-φ/kt) J I n (n order photon)

21 Metal Vacuum Field emission Nanometer sharpness Mesh Grid -1~-2kV Tip E F Surface Barrier

22 How thin barrier has to be? F=3-6V/nm Φ 3-6eV E F Metal Vacuum ~1nm J F 2 exp(-aφ 3/2 /bf)

23 Photo-field emission photoemission optical fieldemission E F hν hν hν E E x x Weak field Strong field

24 Various way to characterize tip apex

25 1 Langmuir 10-6 mbar x 1 second 1.6eV!! Photon and Particle Interactions with Surfaces in Space Volume 37 of the series Astrophysics and Space Science Library pp M. Bujor

26 How to make and keep clean surface? Ar + Ar + 1 Langmuir 10-6 mbar x second Ar mbar -> 1 sec 10-7 mbar -> 10 sec 10-8 mbar -> 2 min 10-9 mbar -> 20 min Heating mbar -> 3 hr

27 Characterization of tip apex First time in history, Erwin Mueller (German physist) A Biographical Memoir Vol 82 by ALLAN J. MELMED 1. Field emission microscopy (FEM) Around Field ion microscopy (FIM) Around 1950 individual atoms and their arrangement. 3. Atom probe field ion microscopy (APFIM)

28 Field Emission and Field Ionization: Robert Gomer FEM Magnification: x/br b~

29 Field emission pattern with and without laser Intensity high Without laser Field Emission and Field Ionization: Robert Gomer low Tungsten Tip Vtip=-2250V (111) (310)(011)(310) (111) Radius ~ 100nm Side

30 Various Field emission image from W[011] N 2 Clean Phys. Rev. Lett. 45, 1856 (1980). O 2 FEM pattern change depending on adsorbate

31 Graphene Simulation, Edited by Jian Ru Gong, ISBN Spatial resolution => 1 2nm

32 Power of FEM FEM View from V tip =-900V Nano-tip?

33 Power of FEM Nano-tip? FEM V tip =-900V

34 Positive bias Positively charged

35

36 Experimental set up Field Emission Microscopy Resistive anode MCP (Chevron) Mesh Grid y Air Vacuum (UHV) Lens : f=15mm Oscillator 800nm, 76MHz, 55fs Laser Polarization θ p Heating φ θ y High voltage Pre amplifier Position computer focus 4μm z x (negative) PC Sample : Tungsten wire

37 Field emission pattern with and without laser Intensity high Without laser With laser (800nm) low 30nm (111) Radius ~ 100nm Tungsten Tip (310)(011)(310) P L =20mW (111) Side Vtip=-2250V Vtip=-1600V

38 What is physics behind?

39 Surface electromagnetic wave Electromagnetic wave couples with surface charge Surface plasmon polariton: Epsilon_R <0 Zenneck wave : Epsilon_R >0, Epsilon_Im >>0 Phys. Rev. B 44, 5855 (1991).

40 Propagation of surface electromagnetic waves Propagation of Laser E k Photo-field Time average emission Rapex =100nm MaX-1: C. Hafner With laser k Max θ p =0 θ p =30 θ p =60 θ p =90 θ p =120 θ p =150 Min

41 Let s simulate laser-induced field emission images

42 Simulation of LFEM (photo-field emission model) FEM j exp F DC E vac F=F DC Work function e - E F j exp -j calc =0 Φ MaX-1: C. Hafner Photo-field Field emission

43 Simulation of LFEM (photo-field emission model) FEM F DC F laser E vac e - F 2 laser hν j exp -j calc =0 Φ, F DC f(e) E F jcalc LFEM Photo-field emission

44 Simulations : Photo-field emission model PRL 103, (2009) θ p =0 θ p =30 θ p =60 Exp. Exp. Experiment Simulation Sim. Sim. Exp. θ p =90 θ p =120 θ p =150 Exp. Exp. Sim. Sim. Sim. Top

45 Q1: Upon laser irradiation, which side of apex will be hotter, laser exposed side or shadow side? Time ave. With laser k

46 E field Deposited energy J/cm 3 Electron Temp. Phys. Rev. B 86, (2012)

47 What s nice? Tip Coherence length ~200nm Spatio-temporal control of coherent electron emission Coherence time ~200fs At 30K Coherence length ~10nm At room temperature B. Cho, Phys. Rev. Lett. 92, (2004)

48 Optical control of Young s interference

49 Without laser With laser (7fs, 40mW) Interference (111) (310) (310) (111)

50 Polarization dependence of interference pattern Pol=10 Pol=40 C C D A B A Interference Pol=90 Pol=110 A-B C-D B B A

51 Data analysis: Gaussian fitting Pol= x Line profile L I S L I S x Gaussian fitting

52 Polarization dependence of electron 1 intensity x L S I 2*(L*S) 0.5 L+S 0.01 x x Polarization angle (degree) L L S 2*(L*S) 0.5 (A+B) 2 =A 2 +B 2 +2AB I S

53 Simulations : Interference Far field Potential landscape 2D TDSE (013) (111) Interference peak

54 Simulations : Energy dependence of interference Scientific Reports 7, (2017) Energy Dependence

55 Transmission Probability Q2: Do we need quantum mechanical treatment for transmission probability of photoemission? E F Photo-field emission hν hν hν Photoemission E Photoemission E vac Photon x E F

56 DeVries, P. L. A First Course in Computational Physics (John Wiley & Sons, Inc., 1994) 9eV Electron 10eV 0eV Surface

57 Electron 11eV 10eV 0eV Surface

58 Electron 15eV 10eV 0eV Surface

59 Time-resolved electron holography k k Delay line

60 ? k A B k Delay line Beam Splitter Such a dense electron source cannot be available.

61 Summary Introduction of myself Electron emission from a nano-tip How can we get electrons? -work function -various ways to emit electrons How to characterize tip apex: FEM Laser-induced field emission Site-selective technique Optical control of Young s interference

62 Tomorrow More about electron dynamics

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