A Low-Dimensional Layout of Magnetic Units as Nano-Systems of Combinatorial Logic: Numerical Simulations
Abstract
:1. Introduction
2. Materials and Methods
3. Results and Discussion
4. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Abbreviations
FM | Ferromagnetic |
AF | Antiferromagnetic |
AF1 | Antiferromagnetic for odd number of magnetic units in the system: more units antiparallel to the magnetic field |
AF2 | Antiferromagnetic for odd number of magnetic units in the system: more units parallel to the magnetic field |
revFM | reversed ferromagnetic, antiparallel to the magnetic field |
ADC | Analogue-to-digital converter |
ADE | Analogue-to-digital-encoder |
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Legend | ||||||||
---|---|---|---|---|---|---|---|---|
The proposed way of reading of units’ states: | Configuration corresponding to binary digit of 1: | Configuration corresponding to binary digit of 0: | Example: | |||||
System of 5 magnetic units | ||||||||
Initial run from zero field to the maximum value | ||||||||
Input magnetic field range (T): | 0.000–0.033 | 0.033–0.038 | 0.038–0.100 | |||||
configuration: | ||||||||
binary coding: | 10101 | 11101 | 11111 | |||||
Input magnetic field range (T): | 0.000–0.031 | 0.031–0.034 | 0.034–0.100 | |||||
configuration: | ||||||||
binary coding: | 01010 | 11011 | 11111 | |||||
The first half of hysteresis: from maximum value to the minimum | ||||||||
Input magnetic field range (T): | 0.100–−0.022 | −0.022–−0.028 | −0.028–−0.035 | −0.035–−0.100 | ||||
configuration: | ||||||||
binary coding: | 11111 | 00110 | 00100 | 00000 | ||||
The second half of hysteresis: from minimum value to the maximum | ||||||||
Input magnetic field range (T): | −0.100–0.022 | 0.022–0.028 | 0.028–0.035 | 0.035–0.100 | ||||
configuration: | ||||||||
binary coding: | 00000 | 10011 | 11011 | 11111 | ||||
System of 7 magnetic units | ||||||||
Initial run from zero field to the maximum value | ||||||||
Input magnetic field range (T): | 0.000–0.033 | 0.033–0.037 | 0.037–0.100 | |||||
configuration: | ||||||||
binary coding: | 1010101 | 1110111 | 1111111 | |||||
Input magnetic field range (T): | 0.000–0.032 | 0.032–0.035 | 0.035–0.100 | |||||
configuration: | ||||||||
binary coding: | 0101010 | 1101011 | 1111111 | |||||
The first half of hysteresis: from maximum value to the minimum | ||||||||
Input magnetic field range (T): | 0.100 – −0.022 | −0.022 – −0.024 | −0.024 – −0.026 | −0.026 – −0.100 | ||||
configuration: | ||||||||
binary coding: | 1111111 | 0111110 | 0011100 | 0000000 | ||||
The second half of hysteresis: from minimum value to the maximum | ||||||||
Input magnetic field range (T): | −0.100–0.022 | 0.022–0.024 | 0.024–0.026 | 0.026–0.100 | ||||
configuration: | ||||||||
binary coding: | 0000000 | 1000001 | 1100011 | 1111111 | ||||
System of 8 magnetic units | ||||||||
Initial run from zero field to the maximum value | ||||||||
Input magnetic field range (T): | 0.000–0.032 | 0.032–0.033 | 0.033–0.035 | 0.035–0.100 | ||||
configuration: | ||||||||
binary coding: | 10101010 | 10101011 | 11111011 | 11111111 | ||||
The first half of hysteresis: from maximum value to the minimum | ||||||||
Input magnetic field range (T): | 0.100–−0.022 | −0.022–−0.023 | −0.023–−0.025 | −0.025–−0.031 | −0.031–−0.100 | |||
configuration: | ||||||||
binary coding: | 11111111 | 01111110 | 00111100 | 00011000 | 00000000 | |||
The second half of hysteresis: from minimum value to the maximum | ||||||||
Input magnetic field range (T): | −0.100–0.022 | 0.022–0.023 | 0.023–0.025 | 0.025–0.031 | 0.031–0.100 | |||
configuration: | ||||||||
binary coding: | 00000000 | 10000001 | 11000011 | 11100111 | 11111111 | |||
System of 10 magnetic units | ||||||||
Initial run from zero field to the maximum value | ||||||||
Input magnetic field range (T): | 0.000–0.032 | 0.032–0.033 | 0.033–0.100 | |||||
configuration: | ||||||||
binary coding: | 10101 01010 | 10101 01011 | 11111 11111 | |||||
The first half of hysteresis: from maximum value to the minimum | ||||||||
Input magnetic field range (T): | 0.100–−0.022 | −0.022–−0.023 | −0.023–−0.024 | −0.024–−0.025 | −0.025–−0.032 | −0.032–−0.100 | ||
configuration: | ||||||||
binary coding: | 11111 11111 | 01111 11110 | 00111 11100 | 00011 11000 | 00001 10000 | 00000 00000 | ||
The second half of hysteresis: from minimum value to the maximum | ||||||||
Input magnetic field range (T): | −0.100–0.022 | 0.022–0.023 | 0.023–0.024 | 0.024–0.025 | 0.025–0.032 | 0.032–0.100 | ||
configuration: | ||||||||
binary coding: | 00000 00000 | 10000 00001 | 11000 00011 | 11100 00111 | 11110 00001 | 11111 11111 | ||
System of 15 magnetic units | ||||||||
Initial run from zero field to the maximum value | ||||||||
Input magnetic field range (T): | 0.000–0.033 | 0.033–0.037 | 0.037–0.100 | |||||
configuration: | ||||||||
binary coding: | 1010101 01010101 | 1111111 01111111 | 1111111 11111111 | |||||
Input magnetic field range (T): | 0.000–0.032 | 0.032–0.033 | 0.033–0.035 | 0.035–0.100 | ||||
configuration: | ||||||||
binary coding: | 0101010 10101010 | 1101010 10101011 | 1101111 11111011 | 1111111 11111111 | ||||
The first half of hysteresis: from maximum value to the minimum | ||||||||
Input magnetic field range (T): | 0.100–−0.021 | −0.021–−0.022 | −0.022–−0.023 | −0.023–−0.025 | −0.025–−0.026 | −0.026–−0.031 | −0.031–−0.037 | −0.037–−0.100 |
configuration: | ||||||||
binary coding: | 1111111 11111111 | 0000111 11111110 | 0000001 11111110 | 0000000 11110000 | 0000000 01110000 | 0000000 01100000 | 0000000 00100000 | 0000000 00000000 |
The second half of hysteresis: from minimum value to the maximum | ||||||||
Input magnetic field range (T): | −0.100–0.021 | 0.021–0.022 | 0.022–0.023 | 0.023–0.025 | 0.025–0.026 | 0.026–0.031 | 0.031–0.037 | 0.037–0.100 |
configuration: | ||||||||
binary coding: | 0000000 00000000 | 1000000 00001111 | 1000000 00111111 | 1111000 01111111 | 1111000 1111111 | 1111100 11111111 | 1111101 11111111 | 1111111 11111111 |
System of 16 magnetic units | ||||||||
Initial run from zero field to the maximum value | ||||||||
Input magnetic field range (T): | 0.000–0.032 | 0.032–0.033 | 0.033–0.035 | 0.035–0.100 | ||||
configuration: | ||||||||
binary coding: | 10101010 10101010 | 10101010 10101011 | 11111111 11111011 | 11111111 11111111 | ||||
The first half of hysteresis: from maximum value to the minimum | ||||||||
Input magnetic field range (T): | 0.100–−0.021 | −0.021–−0.022 | −0.022–−0.023 | −0.023–−0.025 | −0.025–−0.026 | −0.026–−0.031 | −0.031–−0.038 | −0.038–−0.100 |
configuration: | ||||||||
binary coding: | 11111111 11111111 | 01111111 11111110 | 00111111 11000000 | 00001111 00000000 | 00001110 00000000 | 00000110 00000000 | 00000100 00000000 | 00000000 00000000 |
The second half of hysteresis: from minimum value to the maximum | ||||||||
Input magnetic field range (T): | −0.100–0.021 | 0.021–0.022 | 0.022–0.023 | 0.023–0.025 | 0.025–0.026 | 0.026–0.031 | 0.031–0.038 | 0.038–0.100 |
configuration: | ||||||||
binary coding: | 00000000 00000000 | 10000000 00000001 | 11111100 00000011 | 11111111 00001111 | 11111111 10001111 | 11111111 10011111 | 11111111 11011111 | 11111111 11111111 |
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Kuźma, D.; Kowalczyk, P.; Cpałka, K.; Laskowski, Ł. A Low-Dimensional Layout of Magnetic Units as Nano-Systems of Combinatorial Logic: Numerical Simulations. Materials 2021, 14, 2974. https://doi.org/10.3390/ma14112974
Kuźma D, Kowalczyk P, Cpałka K, Laskowski Ł. A Low-Dimensional Layout of Magnetic Units as Nano-Systems of Combinatorial Logic: Numerical Simulations. Materials. 2021; 14(11):2974. https://doi.org/10.3390/ma14112974
Chicago/Turabian StyleKuźma, Dominika, Paweł Kowalczyk, Krzysztof Cpałka, and Łukasz Laskowski. 2021. "A Low-Dimensional Layout of Magnetic Units as Nano-Systems of Combinatorial Logic: Numerical Simulations" Materials 14, no. 11: 2974. https://doi.org/10.3390/ma14112974