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Machine Learning-Enabled Design
of Point Defects in 2D Materials
Nathan C. Frey
Shenoy Group, Materials Science & Engineering
University of Pennsylvania
2020 MRS Spring/Fall Meeting
n.frey@seas.upenn.edu
How do we engineer defect states
that are electrically, magnetically,
and optically addressable in solid-
state devices?
Why layered materials?
3(EPFL/G.Pizzi)
Tunable electronic, magnetic,
topological properties
Low-power, ultra-compact, flexible
Heterostructure and integrated solid-
state devices
n.frey@seas.upenn.edu
Point defects in 2D materials
4
Atomically thin resistive
memory (atomristors)
Deji Akinwande (UT Austin); Pawel Latawiec (Harvard University)
Quantum emitters
n.frey@seas.upenn.edu
Deep transfer learning in 2D
5
Pretrained
Model
~104 – 105 Bulk Crystals
~103 2D Materials
𝐸𝑓
𝑚𝑎𝑡
, 𝐸 𝑏𝑔, 𝐸 𝐹𝑒𝑟𝑚𝑖
Deep
Transfer
Learning 2D Structure Graphs
B
N
Mo
S
𝑅2 = 0.98
𝑀𝐴𝐸 = 0.06
Predicted Ef
mat (eV/atom)
TrueEf
mat(eV/atom)
n.frey@seas.upenn.edu
High-throughput screening
6
150 materials x 70 defects
≈ 10,000 defect structures
Ni
Cu
Pd
Ag
Al
Au
Electronic Structure
Machine
Learning
Engineered
Point Defects
~1,000
Band
Structures
~100
A
BB
B B
MTarget 1
Formation/binding energy
𝐸
𝒌
𝐸 𝑏𝑔Target 2
Defect level position
n.frey@seas.upenn.edu
Machine learning defect properties
7
Conduction Band
Valence Band
Δ𝐶𝐵 > 𝑘 𝐵 𝑇
Δ𝑉𝐵 > 𝑘 𝐵 𝑇
Target 1
Target 2
⋅⋅⋅
Random Forest Model
Host Material
Properties
Defect
Properties
Average All
Predictions
Tree 1 Tree n
Prediction 1 Prediction n
Prediction i
𝑟𝑆𝑛 ≫ 𝑟𝑆𝑒
𝜒 𝑆𝑛 ≪ 𝜒 𝑆𝑒
Sn Se
n.frey@seas.upenn.edu
Minimal physical model of defects
8
M
𝜖
1
𝑟
e-
𝐸 𝐸𝜖 Strain terms
Electrostatic terms
𝜖
𝑞2/𝑟
0.67 eV MAE for defect formation energy
0.93 F1 score for shallow vs deep defect level classifier
n.frey@seas.upenn.edu
Quantum emitter defect score
9
𝐸 𝑏𝑔, Stability
SOC, 𝐸𝑓
0.7
1
PAl, GaAl, NAl, AsAl, SbAl
AlN
SnGe, SeS
GeS
AsI
MgI2
n.frey@seas.upenn.edu
Nonvolatile resistive memory score
10
High
stability
Low switching
voltage
100+ quantum emitters
15 atomically thin memristors
n.frey@seas.upenn.edu
Takeaways
11
1
Point defects in 2D materials are platforms for quantum
information science and nonvolatile memory.
2
Layered metal chalcogenides, hexagonal nitrides, and metal
halides including GeS, h-AlN, and MgI2 are promising,
unexplored systems.
n.frey@seas.upenn.edu
Relevant publications
12
http://bit.ly/ncfreygs
[1] N.C. Frey, D. Akinwande, D. Jariwala, and V.B. Shenoy, ACS Nano (2020)
https://doi.org/10.1021/acsnano.0c05267.
n.frey@seas.upenn.edu
Thank you!
13
nc_frey
ncfrey
ncfrey
n.frey@seas.upenn.edu*
ContactContact
Shenoy Group
Deep Jariwala Deji Akinwande
Collaborators
Funding

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MRS Spring & Fall Virtual Meeting 2020

  • 1. Machine Learning-Enabled Design of Point Defects in 2D Materials Nathan C. Frey Shenoy Group, Materials Science & Engineering University of Pennsylvania 2020 MRS Spring/Fall Meeting n.frey@seas.upenn.edu
  • 2. How do we engineer defect states that are electrically, magnetically, and optically addressable in solid- state devices?
  • 3. Why layered materials? 3(EPFL/G.Pizzi) Tunable electronic, magnetic, topological properties Low-power, ultra-compact, flexible Heterostructure and integrated solid- state devices n.frey@seas.upenn.edu
  • 4. Point defects in 2D materials 4 Atomically thin resistive memory (atomristors) Deji Akinwande (UT Austin); Pawel Latawiec (Harvard University) Quantum emitters n.frey@seas.upenn.edu
  • 5. Deep transfer learning in 2D 5 Pretrained Model ~104 – 105 Bulk Crystals ~103 2D Materials 𝐸𝑓 𝑚𝑎𝑡 , 𝐸 𝑏𝑔, 𝐸 𝐹𝑒𝑟𝑚𝑖 Deep Transfer Learning 2D Structure Graphs B N Mo S 𝑅2 = 0.98 𝑀𝐴𝐸 = 0.06 Predicted Ef mat (eV/atom) TrueEf mat(eV/atom) n.frey@seas.upenn.edu
  • 6. High-throughput screening 6 150 materials x 70 defects ≈ 10,000 defect structures Ni Cu Pd Ag Al Au Electronic Structure Machine Learning Engineered Point Defects ~1,000 Band Structures ~100 A BB B B MTarget 1 Formation/binding energy 𝐸 𝒌 𝐸 𝑏𝑔Target 2 Defect level position n.frey@seas.upenn.edu
  • 7. Machine learning defect properties 7 Conduction Band Valence Band Δ𝐶𝐵 > 𝑘 𝐵 𝑇 Δ𝑉𝐵 > 𝑘 𝐵 𝑇 Target 1 Target 2 ⋅⋅⋅ Random Forest Model Host Material Properties Defect Properties Average All Predictions Tree 1 Tree n Prediction 1 Prediction n Prediction i 𝑟𝑆𝑛 ≫ 𝑟𝑆𝑒 𝜒 𝑆𝑛 ≪ 𝜒 𝑆𝑒 Sn Se n.frey@seas.upenn.edu
  • 8. Minimal physical model of defects 8 M 𝜖 1 𝑟 e- 𝐸 𝐸𝜖 Strain terms Electrostatic terms 𝜖 𝑞2/𝑟 0.67 eV MAE for defect formation energy 0.93 F1 score for shallow vs deep defect level classifier n.frey@seas.upenn.edu
  • 9. Quantum emitter defect score 9 𝐸 𝑏𝑔, Stability SOC, 𝐸𝑓 0.7 1 PAl, GaAl, NAl, AsAl, SbAl AlN SnGe, SeS GeS AsI MgI2 n.frey@seas.upenn.edu
  • 10. Nonvolatile resistive memory score 10 High stability Low switching voltage 100+ quantum emitters 15 atomically thin memristors n.frey@seas.upenn.edu
  • 11. Takeaways 11 1 Point defects in 2D materials are platforms for quantum information science and nonvolatile memory. 2 Layered metal chalcogenides, hexagonal nitrides, and metal halides including GeS, h-AlN, and MgI2 are promising, unexplored systems. n.frey@seas.upenn.edu
  • 12. Relevant publications 12 http://bit.ly/ncfreygs [1] N.C. Frey, D. Akinwande, D. Jariwala, and V.B. Shenoy, ACS Nano (2020) https://doi.org/10.1021/acsnano.0c05267. n.frey@seas.upenn.edu