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High-harmonic spectroscopy in 3D topological insulators D. Baykusheva 1,2,3 , A. Chacon 4,5 , J. Lu 1 , T. P. Bailey 6 , J. A. Sobota 2,3 , H. Soifer 2 , C. R. Rotundu 2 , P. S. Kirchmann 2 , C. Uher 6 , T. F. Heinz 1 , D. A. Reis 1 , and S. Ghimire 1 1 Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, CA, USA 2 Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA, USA 3 Geballe Laboratory for Advanced Materials, Departments of Physics and Applied Physics, Stanford University, Stanford, CA, USA 4 Max Planck Research Initiative, MPK-POSTECH, Korea; 5 Center of NonLinear Studies, Los Alamos National Laboratory, NM, USA 6 University of Michigan, Michigan, USA Korean Physics Society Nov. 6 th , 2020 Prof. Dr. Alexis Chacon MPK-POSTECH: [email protected]

High-harmonic spectroscopy in 3D topological insulators

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High-harmonic spectroscopy in 3D topological insulators

D. Baykusheva1,2,3, A. Chacon4,5, J. Lu1, T. P. Bailey6, J. A. Sobota2,3, H. Soifer2, C. R. Rotundu2, P. S. Kirchmann2, C. Uher6, T. F. Heinz1, D. A. Reis1, and S. Ghimire1

1Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, CA, USA 2Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA, USA

3Geballe Laboratory for Advanced Materials, Departments of Physics and Applied Physics, Stanford University, Stanford, CA, USA 4Max Planck Research Initiative, MPK-POSTECH, Korea; 5Center of NonLinear Studies, Los Alamos National Laboratory, NM, USA 6University of Michigan, Michigan, USA

Korean Physics Society Nov. 6th, 2020 Prof. Dr. Alexis Chacon MPK-POSTECH: [email protected]

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Acknowledgments (2018 @ CLEO-Meeting)

Dr. Denitsa Baykusheva (now at Harvard University)Prof. Dr. Tony Heirtz

Prof. Dr. David Reis Dr. Shambhu GhimireStanford PULSE Institute, SLAC National Accelerator Laboratory Header of PULSE Institute

Staff Member at Stanford PULSE Institute, SLAC National Accelerator Laboratory

A Chacon MPK-POSTECH: [email protected]

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TDSE TDSE

A Chacon MPK-POSTECH: [email protected]

High-Harmonics generation (HHG) in transition metals

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TDSE TDSE

A Chacon MPK-POSTECH: [email protected]

Previous theoretical work of HHG in topological materials

D. Bauer et al PRL 120, 177401 (2018)

Trivial phase A vs Topological phase BIn SSG 1D-Model TDDFT

Phase transitions in Haldane ModelUsing the HHG helicity

R. Silva et al Nat. Photonics 120, 177401 (2018)

Trivial phase Topological phase

Trivial phase

Trivial phase

A. Chacon, D. Kim PRB, 102, 134115 (2020)Editors’ suggestion

Phase transitions in Haldane ModelUsing the Circular Dichroism with HHG

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TDSE TDSE

A Chacon MPK-POSTECH: [email protected]

Key question: HHG contains info. of topology?

D. Ba, J. Phys S Japan 82 (2013) 102001

Laser

+ =

Topological material: Bi2Se3High Photon Emission

EL(t)

SSBS

D. Baykusheva, A. Chacon et alSubmitted at Sciences Advances (2020)

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Observation of HHG in 3D-Topological Insulator Bi2Se3

Perturbative prediction: !𝐼𝐻𝐻𝐺 ∝ 𝐼𝑛𝑀𝐼𝑅𝜆MIR ≈ 5.2 μm

• Can we separate the response from Surface State? • What is the unique characteristic of HHG from TI? D. Baykusheva, A. Chacon et al

Submitted at Sciences Advances (2020)

A Chacon MPK-POSTECH: [email protected]

Bi2Se3

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3D-TI, Bulk vs Surface States: Theory!

Topological Surface states governs! D. Baykusheva, A. Chacon et alSubmitted at Sciences Advances (2020)

A Chacon MPK-POSTECH: [email protected]

Bi2Se3: Tight-binding model + laser-exec interaction

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Unique HHG Anomalous Ellipticity in TI

D. Baykusheva, A. Chacon et alSubmitted at Sciences Advances (2020)

Topological Surface states governs!

• Bulk states: monotonous decay (“gas-like”) • Surface states: anomalous behaviour

A Chacon MPK-POSTECH: [email protected]

Bi2Se3

MoS2: trivial phase

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Mechanism behind HHG anomalous ellipticity

Transition dipole moment! : related to the out-of-plane spin polarization ! : related to the in-plane spin polarization 𝐴12𝐴14

D. Baykusheva, A. Chacon et alSubmitted at Sciences Advances (2020)

Bi2Se3

A Chacon MPK-POSTECH: [email protected]

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Summary and outlook

Summary

• Observation of HHG from a 3D topological insulator • Separation of the response from the surface based on symmetry properties and

detailed theory based on SBE that includes Berry Phase • Enhanced harmonics for circular fields related to Vortex features and higher order

warping terms

Outlook

• HHG could probe trivial to topological phase transitions • Novel platform to study driven dynamics of Dirac-Fermions • More predictive theories considering surface and bulk coupling as well as higher-lying

conduction band is desired

A Chacon MPK-POSTECH: [email protected]

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Acknowledgement

Stanford University (PULSE)

• Denitsa Baykusheva • Jian Lu • Shambhu Ghimire • David Reis • Tony Heinz • Marc Welch • Patrick Kirchmann • Jonathan Sobota • Hadas Soifer •

University of Michigan • Trevor P. Bailey • Ctirad Uher

Max Planck POSTECH (Korea)

• Alexis Chacon • Dasol Kim • Dong Eon Kim

A Chacon MPK-POSTECH: [email protected]

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Thank you for your attention

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