pith. sign in

arxiv: 2601.07494 · v1 · submitted 2026-01-12 · ❄️ cond-mat.mes-hall · cond-mat.mtrl-sci· cond-mat.str-el

Reconfigurable Oxide Nanoelectronics by Tip-induced Electron Delocalization

Pith reviewed 2026-05-16 15:20 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.mtrl-scicond-mat.str-el
keywords LaAlO3/SrTiO3 interfaceoxygen vacancy electromigrationconductive AFM lithographyreconfigurable nanoelectronicsmillikelvin temperaturespolaron-electron transitionoxide heterostructuresnonvolatile switching
0
0 comments X

The pith

Oxygen vacancy engineering allows a conductive AFM tip to create and erase nanoscale conductors at millikelvin temperatures with 0.85 nm resolution.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper establishes that engineering oxygen vacancies at the LaAlO3/SrTiO3 interface lets a scanning tip switch small regions between insulating and conducting electron states without needing air or water. This switching stays nonvolatile and repeatable even when the sample sits at millikelvin temperatures, where earlier methods caused rapid decay. The approach reaches 0.85 nm line width and relies on the tip moving vacancies to control whether electrons form polarons or a liquid-like state. A sympathetic reader would care because it removes the barrier between making devices and measuring them inside the same cold vacuum chamber used for quantum experiments.

Core claim

Through oxygen vacancy engineering at the LaAlO3/SrTiO3 interface, nonvolatile and reconfigurable cAFM control of nanoscale interfacial polaron-electron liquid transition is achieved at mK temperatures with an ultrafine line resolution of 0.85 nm. Supported by first-principles calculations and drift-diffusion modeling, tip-controlled oxygen vacancy electromigration plays a key role. This advancement bridges reconfigurable device fabrication and concurrent characterization in situ at mK temperatures.

What carries the argument

Tip-controlled oxygen vacancy electromigration that switches the interfacial polaron-electron liquid transition

If this is right

  • Devices can be patterned and measured in the same cryogenic vacuum setup without removal or decay.
  • Reconfigurable control becomes available for studying programmable quantum phases in correlated oxides.
  • The 0.85 nm resolution extends nanoscale patterning below limits of air-based cAFM methods.
  • A Hubbard toolbox for engineering multiple quantum states at one interface is realized.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Real-time tip adjustments during ongoing mK measurements could let experimenters tune quantum states on the fly.
  • The same vacancy-migration principle may apply to other oxide interfaces that host superconductivity or magnetism.
  • Integration with additional cryogenic probes could enable combined electrical and optical studies of the same reconfigurable region.

Load-bearing premise

Tip-induced changes are driven by oxygen vacancy electromigration rather than residual water or other mechanisms, and the resulting states remain stable and reconfigurable at mK temperatures without water-cycle decay.

What would settle it

If the written nanoscale patterns decay within minutes in high vacuum at millikelvin temperatures, or if identical tip scans produce no lasting change once water is fully eliminated from the environment, the central claim would be falsified.

Figures

Figures reproduced from arXiv: 2601.07494 by Changjian Ma, Chang-Kui Duan, Chengxuan Ye, Chengyuan Huang, Danqing Liu, Dawei Qiu, Dingbang Chen, Guanglei Cheng, Haoyuan Wang, Longbing Shang, Mengke Ha, Qianyi Zhao, Qing Xiao, Yanling Liu, Zhenhao Li, Zhenlan Chen, Zhiyuan Qin, Ziliang Guo.

Figure 1
Figure 1. Figure 1: FIG. 1. cAFM lithography at room temperature. (a) [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Environmental dependence of nanowire decay at room [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Drift-diffusion model of oxygen vacancy migration. (a-c) [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
read the original abstract

Reconfigurable oxide nanoelectronics, enabled by conductive atomic force microscope (cAFM) lithography, have established complex oxide interfaces as a promising platform for quantum engineering that harnesses emergent phenomena for advanced functionalities. However, this cAFM nanofabrication process can only occur in the air, with simultaneous device decay described under the "water-cycle" writing mechanism. These restrictions pose ongoing challenges for device optimization in the quantum regime at mK temperatures. Here, we demonstrate a "waterless" cAFM lithography approach that is compatible with vacuum and cryogenic environments. Through oxygen vacancy engineering at the LaAlO$_3$/SrTiO$_3$ interface, we have achieved nonvolatile and reconfigurable cAFM control of nanoscale interfacial polaron-electron liquid transition at mK temperatures with an ultrafine line resolution of 0.85 nm. Supported by first-principles calculations and drift-diffusion modeling, we show that tip-controlled oxygen vacancy electromigration plays a key role. This advancement bridges reconfigurable device fabrication and concurrent characterization in situ at mK temperatures, and establishes a versatile Hubbard toolbox for engineering programmable quantum phases in correlated oxides.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 2 minor

Summary. The manuscript claims to demonstrate a waterless cAFM lithography method at the LaAlO3/SrTiO3 interface via oxygen vacancy engineering. This enables nonvolatile, reconfigurable control of nanoscale interfacial polaron-electron liquid transitions at mK temperatures with 0.85 nm line resolution. The approach is supported by first-principles calculations and drift-diffusion modeling that attribute the conductivity changes to tip-controlled oxygen vacancy electromigration, overcoming the air-based water-cycle limitations of prior cAFM techniques.

Significance. If the central claim holds, the work would be significant for enabling in-situ reconfigurable device fabrication and characterization at cryogenic temperatures in correlated oxides. It would provide a versatile platform for engineering programmable quantum phases via a Hubbard-model toolbox, directly addressing longstanding restrictions on quantum-regime optimization.

major comments (3)
  1. [Experimental results] Experimental results section: The inference that tip-induced conductivity changes arise specifically from oxygen vacancy electromigration (rather than charge trapping, residual adsorbates, or other mechanisms) rests on indirect transport data (conductivity maps and I-V curves) interpreted through modeling. No direct local spectroscopy or microscopy quantifying vacancy density or distribution before/after writing is presented, which is load-bearing for the claimed mechanism and waterless cryogenic operation.
  2. [Modeling and discussion] Modeling and discussion: The drift-diffusion simulations and first-principles calculations are presented as supporting evidence, but the manuscript does not include quantitative comparisons or exclusion tests against alternative mechanisms (e.g., water-cycle decay or adsorbate effects) at mK temperatures. This weakens the claim that the states remain stable and reconfigurable without the water-cycle process.
  3. [Results] Results on resolution and stability: The reported 0.85 nm line resolution and nonvolatile behavior at mK temperatures are central to the headline result, yet the manuscript lacks details on measurement protocols, error bars, or long-term stability data that would confirm the states do not decay via residual processes.
minor comments (2)
  1. [Abstract] Abstract: The phrase 'ultrafine line resolution of 0.85 nm' would benefit from explicit definition of how the width was extracted (e.g., FWHM of conductivity profile) to allow direct comparison with prior cAFM work.
  2. [Introduction] Notation: The term 'polaron-electron liquid transition' is used without a clear operational definition or reference to the specific Hubbard parameters being tuned; a brief clarification in the introduction would improve accessibility.

Simulated Author's Rebuttal

3 responses · 1 unresolved

We thank the referee for their insightful and constructive comments on our manuscript. We have carefully addressed each major point below and revised the manuscript accordingly to strengthen the presentation of our results, modeling, and supporting evidence. Our responses aim to clarify the experimental and theoretical basis for the oxygen vacancy mechanism while acknowledging limitations where direct data are not available.

read point-by-point responses
  1. Referee: [Experimental results] Experimental results section: The inference that tip-induced conductivity changes arise specifically from oxygen vacancy electromigration (rather than charge trapping, residual adsorbates, or other mechanisms) rests on indirect transport data (conductivity maps and I-V curves) interpreted through modeling. No direct local spectroscopy or microscopy quantifying vacancy density or distribution before/after writing is presented, which is load-bearing for the claimed mechanism and waterless cryogenic operation.

    Authors: We acknowledge that direct local spectroscopy (e.g., STM or EELS) quantifying vacancy density before and after writing would provide stronger, more definitive support. Our evidence relies on indirect transport data (conductivity maps and I-V curves) interpreted via first-principles calculations and drift-diffusion modeling that explicitly simulate oxygen vacancy electromigration. The nonvolatile stability observed at mK temperatures is inconsistent with charge trapping or adsorbate mechanisms, which typically show faster decay and different temperature scaling. In the revised manuscript, we have expanded the discussion to include a dedicated subsection ruling out alternatives based on cryogenic temperature dependence and long-term stability. We note that in-situ local spectroscopy at mK with the required spatial resolution is technically challenging and not available in our current setup. revision: partial

  2. Referee: [Modeling and discussion] Modeling and discussion: The drift-diffusion simulations and first-principles calculations are presented as supporting evidence, but the manuscript does not include quantitative comparisons or exclusion tests against alternative mechanisms (e.g., water-cycle decay or adsorbate effects) at mK temperatures. This weakens the claim that the states remain stable and reconfigurable without the water-cycle process.

    Authors: We have incorporated quantitative comparisons and exclusion tests in the revised manuscript. New drift-diffusion simulations now explicitly compare water-cycle decay rates at mK temperatures, showing they are orders of magnitude slower than any residual decay and incompatible with our observed nonvolatile behavior. Additional exclusion tests against adsorbate effects are included via comparative analysis of I-V curves and conductivity stability under vacuum versus controlled environments. These revisions directly support that the reconfigurability and stability arise from oxygen vacancy electromigration without reliance on the water-cycle mechanism. revision: yes

  3. Referee: [Results] Results on resolution and stability: The reported 0.85 nm line resolution and nonvolatile behavior at mK temperatures are central to the headline result, yet the manuscript lacks details on measurement protocols, error bars, or long-term stability data that would confirm the states do not decay via residual processes.

    Authors: We agree and have revised the manuscript to include these details. The Methods section now provides full measurement protocols, including cAFM tip bias voltages, scanning speeds, and environmental conditions for writing at mK. Error bars are added to the 0.85 nm resolution data based on statistical analysis of multiple independent line scans. A new supplementary figure presents long-term stability data over 48 hours at mK temperatures, confirming no measurable decay in conductivity states and ruling out residual processes. revision: yes

standing simulated objections not resolved
  • Direct local spectroscopy or microscopy quantifying oxygen vacancy density and distribution before/after writing, as this capability is not available in the current experimental setup.

Circularity Check

0 steps flagged

No circularity; experimental claims rest on direct observations independent of modeling

full rationale

The paper's central results—nonvolatile reconfigurable cAFM lines at mK temperatures with 0.85 nm resolution—are presented as direct experimental outcomes from conductivity mapping and I-V characterization. First-principles calculations and drift-diffusion modeling are invoked only as supporting evidence for the oxygen-vacancy electromigration mechanism, not as inputs that define or force the observed resolution, nonvolatility, or reconfigurability. No self-definitional loops, fitted parameters renamed as predictions, or load-bearing self-citations appear in the derivation chain. The modeling interprets data but does not reduce the headline claims to its own assumptions by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the assumption that first-principles calculations and drift-diffusion modeling correctly identify oxygen vacancy electromigration as the dominant mechanism and that this mechanism produces stable nonvolatile states at mK temperatures.

axioms (1)
  • domain assumption First-principles calculations and drift-diffusion modeling accurately capture tip-controlled oxygen vacancy electromigration at the LaAlO3/SrTiO3 interface.
    The abstract states that these calculations support the mechanism; the validity of the modeling is taken as given.

pith-pipeline@v0.9.0 · 5573 in / 1351 out tokens · 36478 ms · 2026-05-16T15:20:41.906482+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

45 extracted references · 45 canonical work pages

  1. [1]

    Hensgens, T

    T. Hensgens, T. Fujita, L. Janssen, X. Li, C. Van Diepen, C. Reichl, W. Wegscheider, S. Das Sarma, and L. M. Vandersypen, Quantum simulation of a Fermi–Hubbard model using a semiconductor quantum dot array, Nature 548, 70 (2017)

  2. [2]

    Mortemousque, E

    P.-A. Mortemousque, E. Chanrion, B. Jadot, H. Flentje, A. Ludwig, A. D. Wieck, M. Urdampilleta, C. B¨ auerle, and T. Meunier, Coherent control of individual electron spins in a two-dimensional quantum dot array, Nature Nanotechnology16, 296 (2021)

  3. [3]

    Borsoi, N

    F. Borsoi, N. W. Hendrickx, V. John, M. Meyer, S. Motz, F. van Riggelen, A. Sammak, S. L. de Snoo, G. Scap- pucci, and M. Veldhorst, Shared control of a 16 semicon- ductor quantum dot crossbar array, Nature Nanotechnol- ogy19, 21 (2024)

  4. [4]

    Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Unconventional super- conductivity in magic-angle graphene superlattices, Na- ture556, 43 (2018)

  5. [5]

    Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras,et al., Correlated insulator be- haviour at half-filling in magic-angle graphene superlat- tices, Nature556, 80 (2018)

  6. [6]

    J. Cai, E. Anderson, C. Wang, X. Zhang, X. Liu, W. Holtzmann, Y. Zhang, F. Fan, T. Taniguchi, K. Watanabe,et al., Signatures of fractional quantum anomalous Hall states in twisted MoTe2, Nature622, 63 (2023)

  7. [7]

    H. Park, J. Cai, E. Anderson, Y. Zhang, J. Zhu, X. Liu, C. Wang, W. Holtzmann, C. Hu, Z. Liu,et al., Obser- vation of fractionally quantized anomalous Hall effect, Nature622, 74 (2023)

  8. [8]

    F. Xu, Z. Sun, T. Jia, C. Liu, C. Xu, C. Li, Y. Gu, K. Watanabe, T. Taniguchi, B. Tong,et al., Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2, Physical Review X13, 031037 (2023)

  9. [9]

    K. K. Gomes, W. Mar, W. Ko, F. Guinea, and H. C. Manoharan, Designer Dirac fermions and topological phases in molecular graphene, Nature483, 306 (2012)

  10. [10]

    Drost, T

    R. Drost, T. Ojanen, A. Harju, and P. Liljeroth, Topolog- ical states in engineered atomic lattices, Nature Physics 13, 668 (2017)

  11. [11]

    M. R. Slot, T. S. Gardenier, P. H. Jacobse, G. C. Van Miert, S. N. Kempkes, S. J. Zevenhuizen, C. M. Smith, D. Vanmaekelbergh, and I. Swart, Experimental realization and characterization of an electronic Lieb lat- tice, Nature physics13, 672 (2017)

  12. [12]

    X. Wang, E. Khatami, F. Fei, J. Wyrick, P. Nambood- iri, R. Kashid, A. F. Rigosi, G. Bryant, and R. Silver, Experimental realization of an extended Fermi-Hubbard model using a 2D lattice of dopant-based quantum dots, Nature Communications13, 6824 (2022)

  13. [13]

    Kiczynski, S

    M. Kiczynski, S. Gorman, H. Geng, M. Donnelly, Y. Chung, Y. He, J. Keizer, and M. Simmons, Engi- neering topological states in atom-based semiconductor quantum dots, Nature606, 694 (2022)

  14. [14]

    H. Y. Hwang, Y. Iwasa, M. Kawasaki, B. Keimer, N. Na- gaosa, and Y. Tokura, Emergent phenomena at oxide in- terfaces, Nature Materials11, 103 (2012)

  15. [15]

    Ohtomo and H

    A. Ohtomo and H. Hwang, A high-mobility electron gas at the LaAlO 3/SrTiO3 heterointerface, Nature427, 423 (2004)

  16. [16]

    Thiel, G

    S. Thiel, G. Hammerl, A. Schmehl, C. W. Schneider, and J. Mannhart, Tunable quasi-two-dimensional elec- tron gases in oxide heterostructures, Science313, 1942 (2006)

  17. [17]

    Caviglia, S

    A. Caviglia, S. Gariglio, N. Reyren, D. Jaccard, T. Schneider, M. Gabay, S. Thiel, G. Hammerl, J. Mannhart, and J.-M. Triscone, Electric field control of 6 the LaAlO3/SrTiO3 interface ground state, Nature456, 624 (2008)

  18. [18]

    Richter, H

    C. Richter, H. Boschker, W. Dietsche, E. Fillis-Tsirakis, R. Jany, F. Loder, L. F. Kourkoutis, D. A. Muller, J. R. Kirtley, C. W. Schneider,et al., Interface superconductor with gap behaviour like a high-temperature superconduc- tor, Nature502, 528 (2013)

  19. [19]

    Cheng, M

    G. Cheng, M. Tomczyk, S. Lu, J. P. Veazey, M. Huang, P. Irvin, S. Ryu, H. Lee, C.-B. Eom, C. S. Hellberg,et al., Electron pairing without superconductivity, Nature521, 196 (2015)

  20. [20]

    Cheng, M

    G. Cheng, M. Tomczyk, A. B. Tacla, H. Lee, S. Lu, J. P. Veazey, M. Huang, P. Irvin, S. Ryu, C.-B. Eom,et al., Tunable electron-electron interactions in LaAlO3/SrTiO3 nanostructures, Physical Review X6, 041042 (2016)

  21. [21]

    Briggeman, M

    M. Briggeman, M. Tomczyk, B. Tian, H. Lee, J.-W. Lee, Y. He, A. Tylan-Tyler, M. Huang, C.-B. Eom, D. Pekker,et al., Pascal conductance series in ballistic one-dimensional LaAlO 3/SrTiO3 channels, Science367, 769 (2020)

  22. [22]

    Nethwewala, H

    A. Nethwewala, H. Lee, J. Li, M. Briggeman, Y.-Y. Pai, K. Eom, C.-B. Eom, P. Irvin, and J. Levy, Electron pair- ing and nematicity in LaAlO 3/SrTiO3 nanostructures, Nature Communications14, 7657 (2023)

  23. [23]

    Ariando, X. Wang, G. Baskaran, Z. Liu, J. Huijben, J. Yi, A. Annadi, A. R. Barman, A. Rusydi, S. Dhar,et al., Electronic phase separation at the LaAlO 3/SrTiO3 in- terface, Nature Communications2, 188 (2011)

  24. [24]

    J. A. Bert, B. Kalisky, C. Bell, M. Kim, Y. Hikita, H. Y. Hwang, and K. A. Moler, Direct imaging of the coex- istence of ferromagnetism and superconductivity at the LaAlO3/SrTiO3 interface, Nature Physics7, 767 (2011)

  25. [25]

    L. Li, C. Richter, J. Mannhart, and R. C. Ashoori, Coex- istence of magnetic order and two-dimensional supercon- ductivity at LaAlO 3/SrTiO3 interfaces, Nature Physics 7, 762 (2011)

  26. [26]

    C. Cen, S. Thiel, G. Hammerl, C. W. Schneider, K. An- dersen, C. S. Hellberg, J. Mannhart, and J. Levy, Nanoscale control of an interfacial metal–insulator tran- sition at room temperature, Nature Materials7, 298 (2008)

  27. [27]

    C. Cen, S. Thiel, J. Mannhart, and J. Levy, Oxide nano- electronics on demand, Science323, 1026 (2009)

  28. [28]

    Cheng, P

    G. Cheng, P. F. Siles, F. Bi, C. Cen, D. F. Bo- gorin, C. W. Bark, C. M. Folkman, J.-W. Park, C.- B. Eom, G. Medeiros-Ribeiro,et al., Sketched oxide single-electron transistor, Nature Nanotechnology6, 343 (2011)

  29. [29]

    Cheng, A

    G. Cheng, A. Annadi, S. Lu, H. Lee, J.-W. Lee, M. Huang, C.-B. Eom, P. Irvin, and J. Levy, Shubnikov– de haas–like quantum oscillations in artificial one- dimensional LaAlO3/SrTiO3 electron channels, Physical Review Letters120, 076801 (2018)

  30. [30]

    Annadi, G

    A. Annadi, G. Cheng, H. Lee, J.-W. Lee, S. Lu, A. Tylan-Tyler, M. Briggeman, M. Tomczyk, M. Huang, D. Pekker,et al., Quantized ballistic transport of elec- trons and electron pairs in LaAlO 3/SrTiO3 nanowires, Nano Letters18, 4473 (2018)

  31. [31]

    Briggeman, J

    M. Briggeman, J. Li, M. Huang, H. Lee, J.-W. Lee, K. Eom, C.-B. Eom, P. Irvin, and J. Levy, Engi- neered spin-orbit interactions in LaAlO 3/SrTiO3-based 1D serpentine electron waveguides, Science Advances6, eaba6337 (2020)

  32. [32]

    Briggeman, H

    M. Briggeman, H. Lee, J.-W. Lee, K. Eom, F. Damanet, E. Mansfield, J. Li, M. Huang, A. J. Daley, C.-B. Eom, et al., One-dimensional Kronig–Penney superlattices at the LaAlO 3/SrTiO3 interface, Nature Physics17, 782 (2021)

  33. [33]

    M. Coll, J. Fontcuberta, M. Althammer, M. Bibes, H. Boschker, A. Calleja, G. Cheng, M. Cuoco, R. Dittmann, B. Dkhil,et al., Towards oxide electron- ics: a roadmap, Applied Surface Science482, 1 (2019)

  34. [34]

    Water-cycle

    F. Bi, D. F. Bogorin, C. Cen, C. W. Bark, J.-W. Park, C.- B. Eom, and J. Levy, “Water-cycle” mechanism for writ- ing and erasing nanostructures at the LaAlO 3/SrTiO3 interface, Applied Physics Letters97(2010)

  35. [35]

    F. Li, M. Liang, W. Du, M. Wang, Y. Feng, Z. Hu, L. Zhang, and E. Wang, Writing charge into the n-type LaAlO3/SrTiO3 interface: A theoretical study of the H2O kinetics on the top AlO 2 surface, Applied Physics Letters101(2012)

  36. [36]

    X. Liu, T. Zhou, Z. Qin, C. Ma, F. Lu, T. Liu, J. Li, S.-H. Wei, G. Cheng, and W.-T. Liu, Nonlinear opti- cal phonon spectroscopy revealing polaronic signatures of the LaAlO 3/SrTiO3 interface, Science Advances9, eadg7037 (2023)

  37. [37]

    Huang, Z

    C. Huang, Z. Chen, M. Ha, H. Wang, Q. Xiao, C. Ma, D. Liu, Z. Qin, D. Qiu, Z. Guo, D. Chen, Q. Zhao, Y. Liu, C. Ye, Z. Li, and G. Cheng, A milli-kelvin atomic force microscope made of glass, Review of Scientific Instru- ments96, 063702 (2025)

  38. [38]

    M. Ha, Q. Xiao, Z. Qin, D. Qiu, L. Shang, X. Liu, P. Yan, C. Ma, D. Liu, C. Huang, Z. Chen, H. Wang, C.-K. Duan, Z. Liao, W.-T. Liu, Y. Gao, K. Cao, J. Du, and G. Cheng, Time-reversal symmetry protected transport at correlated oxide interfaces, National Science Review , nwaf156 (2025)

  39. [39]

    Hanzig, M

    J. Hanzig, M. Zschornak, E. Mehner, F. Hanzig, W. M¨ unchgesang, T. Leisegang, H. St¨ ocker, and D. C. Meyer, The anisotropy of oxygen vacancy migration in SrTiO 3, Journal of Physics: Condensed Matter28, 225001 (2016)

  40. [40]

    S. Das, B. Wang, Y. Cao, M. Rae Cho, Y. Jae Shin, S. Mo Yang, L. Wang, M. Kim, S. V. Kalinin, L.-Q. Chen, et al., Controlled manipulation of oxygen vacancies using nanoscale flexoelectricity, Nature Communications8, 615 (2017)

  41. [41]

    Cheng, J

    G. Cheng, J. P. Veazey, P. Irvin, C. Cen, D. F. Bogorin, F. Bi, M. Huang, S. Lu, C.-W. Bark, S. Ryu,et al., Anomalous transport in sketched nanostructures at the LaAlO3/SrTiO3 interface, Physical Review X3, 011021 (2013)

  42. [42]

    Jiang, M

    W. Jiang, M. Noman, Y. Lu, J. Bain, P. Salvador, and M. Skowronski, Mobility of oxygen vacancy in SrTiO 3 and its implications for oxygen-migration-based resis- tance switching, Journal of Applied Physics110(2011)

  43. [43]

    K. Eom, M. Yu, J. Seo, D. Yang, H. Lee, J.-W. Lee, P. Irvin, S. H. Oh, J. Levy, and C.-B. Eom, Electronically reconfigurable complex oxide heterostructure freestand- ing membranes, Science Advances7, eabh1284 (2021)

  44. [44]

    M. Yu, C. Liu, D. Yang, X. Yan, Q. Du, D. D. Fong, A. Bhattacharya, P. Irvin, and J. Levy, Nanoscale con- trol of the metal–insulator transition at LaAlO 3/KTaO3 interfaces, Nano Letters22, 6062 (2022)

  45. [45]

    Franchini, M

    C. Franchini, M. Reticcioli, M. Setvin, and U. Diebold, Polarons in materials, Nature Reviews Materials6, 560 (2021)