• Acta Physica Sinica
  • Vol. 69, Issue 10, 100504-1 (2020)
Yan-Fei Liu1, Cheng Chen1, Dong-Dong Yang1、*, and Xiu-Jian Li2
Author Affiliations
  • 1Department of Basic Courses, Rocket Forces Engineering University, Xi’an 710025, China
  • 2College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China
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    DOI: 10.7498/aps.69.20200136 Cite this Article
    Yan-Fei Liu, Cheng Chen, Dong-Dong Yang, Xiu-Jian Li. Generation of 8 Gb/s physical random numbers based on spontaneous chaotic oscillation of GaAs/Al0.45Ga0.55As superlattices [J]. Acta Physica Sinica, 2020, 69(10): 100504-1 Copy Citation Text show less
    (a) Picture of SLs chip; (b) schematic representation of the SLs device; (c) energy band diagram of SLs; (d) the models of high and low field domain and sequential tunneling of SLs.
    Fig. 1. (a) Picture of SLs chip; (b) schematic representation of the SLs device; (c) energy band diagram of SLs; (d) the models of high and low field domain and sequential tunneling of SLs.
    Schematic for high speed physical random number generator of SLs (HAPS, high accuracy powersupply; BT, Bias-Tee; SLs, superlattices; L, inductance (unit Lenz); C, capacitance; OSC, oscilloscope; VNA, vector network analyzer; ADC, analog digital converter; FPGA, field programmable gate array).
    Fig. 2. Schematic for high speed physical random number generator of SLs (HAPS, high accuracy powersupply; BT, Bias-Tee; SLs, superlattices; L, inductance (unit Lenz); C, capacitance; OSC, oscilloscope; VNA, vector network analyzer; ADC, analog digital converter; FPGA, field programmable gate array).
    I-Vcharacteristic curve of SLs.
    Fig. 3. I-Vcharacteristic curve of SLs.
    Superlattices: (a) Temporal waveform of single peak signal; (b) temporal waveform of bimodal signal; (c) temporal waveform of non-periodic signal; (d) power spectrum of single peak signal; (e) power spectrum of single bimodal signal; (f) power spectrum of single non-periodic signal.
    Fig. 4. Superlattices: (a) Temporal waveform of single peak signal; (b) temporal waveform of bimodal signal; (c) temporal waveform of non-periodic signal; (d) power spectrum of single peak signal; (e) power spectrum of single bimodal signal; (f) power spectrum of single non-periodic signal.
    Autocorrelation curve of SLs.
    Fig. 5. Autocorrelation curve of SLs.
    (a) The maximum Lyapunov exponents of the superlattices signal at different voltages; (b) the phase space of the superlattices signal.
    Fig. 6. (a) The maximum Lyapunov exponents of the superlattices signal at different voltages; (b) the phase space of the superlattices signal.
    M-bit effective probability density distribution: (a) m = 8; (b) m = 6; (c) m = 5; (d) m = 4.
    Fig. 7. M-bit effective probability density distribution: (a) m = 8; (b) m = 6; (c) m = 5; (d) m = 4.
    acquisition scheme of SLs: (a) Schematic diagram of acquisition conversion; (b) schematic diagram of postprocessing.
    Fig. 8. acquisition scheme of SLs: (a) Schematic diagram of acquisition conversion; (b) schematic diagram of postprocessing.
    Results of NIST for superlatticesrandom numbers at different Les.
    Fig. 9. Results of NIST for superlatticesrandom numbers at different Les.
    统计测试P通过百分比结果
    频率测试0.5141240.995通过
    块内频率测试0.9662440.990通过
    累加和测试0.9816090.993通过
    游程测试0.7820400.993通过
    块内长游程测试0.6579330.996通过
    二进制矩阵秩测试0.3795550.992通过
    离散傅里叶变换测试0.1969200.985通过
    非重叠模块匹配测试0.9384630.988通过
    重叠块比配测试0.2248210.987通过
    全局通用统计测试0.5133090.989通过
    近似熵测试0.9558350.998通过
    随机游动测试0.6371190.985通过
    随机游动变量测试0.3241800.986通过
    串行测试0.6371190.982通过
    线性复杂度测试0.4145250.995通过
    Table 1. Results of NIST statistical test.
    Yan-Fei Liu, Cheng Chen, Dong-Dong Yang, Xiu-Jian Li. Generation of 8 Gb/s physical random numbers based on spontaneous chaotic oscillation of GaAs/Al0.45Ga0.55As superlattices [J]. Acta Physica Sinica, 2020, 69(10): 100504-1
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