Valley Dependent g-factors in Silicon: Role of Spin-Orbit and Micromagnets

By Rajib Rahman

Network for Computational Nanotechnology, Purdue University, West Lafayette, IN

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Abstract

Spin quantum bits hosted in silicon quantum dots are attractive due to their exceptionally long coherence times and compatibility with the silicon transistor platform. How such microscopic electronic spins are affected by the crystal and interfacial symmetries has been a topic of great interest over the past few decades and has found potential applications in spin based electronics and computation. While the coupling between spin and orbital degrees of freedom has been extensively studied, the interplay between spin and the momentum space valley degree of freedom is a topic of recent interest, and may enable hybrid spin- and valley-tronic devices. In this talk, I will describe recent experiments that have probed valley dependent spin properties in silicon quantum bits. I will present an atomistic modeling framework that can provide a unified description of disparate experimental measurements, and show how material and device properties combine to affect the spins.

I will show that spin splittings in silicon quantum dots are inherently valley-dependent. Interface disorder, such as monoatomic steps, can strongly affect the intrinsic spin-orbit coupling and can cause device-to-device variations in g-factors. I will also describe the anisotropy of the g-factor as a function of the angle of an external magnetic field and compare with recent experimental measurements. I will also show how the anisotropy is affected by integrated micromagnets in silicon qubits that can generate an extrinsic coupling between spin and charge. Finally, I will show how the intrinsic and extrinsic factors affecting the spins can be used to perform electrical rotations of spin qubits.

Bio

Rajib Rahman

Rajib Rahman obtained his PhD degree in Electrical and Computer Engineering from Purdue University in 2009 in the area of computational nanoelectronics. He was a postdoctoral fellow in Sandia National Laboratories in the Silicon Quantum Information Science and Technology group from 2009-2012. Since 2012, he has been employed as a Research Assistant Professor in the Network for Computational Nanotechnology (NCN) at Purdue. Rajib develops and employs atomistic simulation methods to model electronic devices at the nanoscale including quantum dots, photo-detectors, spin qubits, and transistors. Rajib specializes in the quantum mechanical many-body description of spins and their interactions with the solid-state environment. He collaborates with leading experimental groups in academia and in national laboratories in the field of semiconductor quantum computing.

 

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Researchers should cite this work as follows:

  • Rajib Rahman (2016), "Valley Dependent g-factors in Silicon: Role of Spin-Orbit and Micromagnets," https://nanohub.org/resources/25415.

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Time

Location

1001 Wang, Purdue University, West Lafayette, IN

Tags

Valley Dependent g-factors in Silicon: Role of Spin-Orbit and Micromagnets
  • Valley Dependent g-factors in Si: Spin-orbit & Micro-magnets 1. Valley Dependent g-factors in … 0
    00:00/00:00
  • Quantum Computing 2. Quantum Computing 38.90557223890557
    00:00/00:00
  • Quantum Computing 3. Quantum Computing 73.540206873540214
    00:00/00:00
  • Quantum Computing 4. Quantum Computing 115.24858191524859
    00:00/00:00
  • Quantum Computing 5. Quantum Computing 149.21588254921588
    00:00/00:00
  • Platform: Quantum Dots 6. Platform: Quantum Dots 248.41508174841511
    00:00/00:00
  • Desirable: All-electrical control 7. Desirable: All-electrical cont… 378.1781781781782
    00:00/00:00
  • All-electrical control: Micro-magnets 8. All-electrical control: Micro-… 625.658992325659
    00:00/00:00
  • Status of the field 9. Status of the field 697.364030697364
    00:00/00:00
  • Goal: Many Qubits (Scalable Systems) 10. Goal: Many Qubits (Scalable Sy… 753.98732065398735
    00:00/00:00
  • Role of disorder 11. Role of disorder 896.69669669669668
    00:00/00:00
  • Electronic States in Si Quantum Dots 12. Electronic States in Si Quantu… 922.08875542208875
    00:00/00:00
  • Valley dependent spin splitting 13. Valley dependent spin splittin… 1123.8571905238573
    00:00/00:00
  • ESR frequency in 2 expts. 14. ESR frequency in 2 expts. 1228.4617951284617
    00:00/00:00
  • ESR frequency with B-field angle 15. ESR frequency with B-field ang… 1310.9109109109111
    00:00/00:00
  • Valley dependent g-factor anisotropy 16. Valley dependent g-factor anis… 1356.6232899566232
    00:00/00:00
  • Atomistic treatment of SOC 17. Atomistic treatment of SOC 1378.2115448782115
    00:00/00:00
  • Atomistic calculation with SOC 18. Atomistic calculation with SOC 1544.6112779446114
    00:00/00:00
  • ESR frequency with B-field angle 19. ESR frequency with B-field ang… 1597.0970970970971
    00:00/00:00
  • Effect of interface steps on g-factor anisotropy 20. Effect of interface steps on g… 1650.7841174507842
    00:00/00:00
  • Effect of spin-orbit coupling on ESR in a Si QD 21. Effect of spin-orbit coupling … 1760.3603603603604
    00:00/00:00
  • Effect of interface steps on Dresselhaus-like SOI 22. Effect of interface steps on D… 1774.1741741741741
    00:00/00:00
  • Atomistic spin-orbit coupling: comparison with experiment 23. Atomistic spin-orbit coupling:… 1934.0006673340008
    00:00/00:00
  • Including micro-magnetic field 24. Including micro-magnetic field 1994.9949949949951
    00:00/00:00
  • Average B-field due to micro-magnet 25. Average B-field due to micro-m… 2041.0076743410077
    00:00/00:00
  • Effect of the average micro-magnetic field 26. Effect of the average micro-ma… 2092.8928928928931
    00:00/00:00
  • Effect of gradient B-field 27. Effect of gradient B-field 2111.7784451117786
    00:00/00:00
  • Effect of gradient B-field on valley dependent spin splitting (contd.) 28. Effect of gradient B-field on … 2204.3043043043044
    00:00/00:00
  • Effect of gradient B-field on valley dependent spin splitting (contd.) 29. Effect of gradient B-field on … 2224.1241241241241
    00:00/00:00
  • Effect of gradient B-field on anisotropic spin splitting 30. Effect of gradient B-field on … 2254.7213880547215
    00:00/00:00
  • Observation 2: SOC + Micro-magnet 31. Observation 2: SOC + Micro-mag… 2264.964964964965
    00:00/00:00
  • Experiment 2: Dzurak Group 32. Experiment 2: Dzurak Group 2382.4824824824827
    00:00/00:00
  • Experiment 2: Stark shift of g-factor 33. Experiment 2: Stark shift of g… 2454.3877210543878
    00:00/00:00
  • Effect of interface steps on stark shift in a Si QD 34. Effect of interface steps on s… 2499.2992992992995
    00:00/00:00
  • Effect of interface steps on stark shift in a Si QD 35. Effect of interface steps on s… 2541.9085752419087
    00:00/00:00
  • T2* in multiple qubits 36. T2* in multiple qubits 2551.2512512512512
    00:00/00:00
  • Lessons learned 37. Lessons learned 2617.4841508174841
    00:00/00:00
  • How to mitigate g-factor variations? 38. How to mitigate g-factor varia… 2784.1174507841174
    00:00/00:00
  • How to mitigate Stark shift? 39. How to mitigate Stark shift? 2867.3340006673343
    00:00/00:00
  • Predicted increase in T2* 40. Predicted increase in T2* 2930.3303303303305
    00:00/00:00
  • Conclusion 41. Conclusion 2956.222889556223
    00:00/00:00