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Page 1: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 2: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries

Page 3: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 4: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries

𝑑2Φ 𝑥, 𝑦, 𝑧

dx2+d2Φ 𝑥, 𝑦, 𝑧

𝑑𝑦2+𝑑2Φ 𝑥, 𝑦, 𝑧

𝑑𝑧2=𝑞𝑁𝑎𝜖𝑠𝑖

𝑑𝐸𝑥 𝑥, 𝑦, 𝑧

𝑑𝑥+𝑑𝐸𝑦 𝑥, 𝑦, 𝑧

𝑑𝑦+𝑑𝐸𝑧 𝑥, 𝑦, 𝑧

𝑑𝑧= 𝐶𝑜𝑛𝑠𝑡𝑎𝑛𝑡

x

y

z

𝐸 = −𝑑Φ

𝑑𝑥

Analysis drawn from: FinFETs and Other Multi-Gate Transistors by Jean-Pierre Colinge

x

y

z

Page 5: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries

𝜆 ≡𝜖𝑆𝑖

𝑚 ⋅ 𝜖𝑂𝑋𝑡𝑂𝑋𝑡𝑆𝑖

Φ(𝑥, 0)~𝑒−𝑥𝜆

y

x

z

Page 6: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 7: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 8: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 9: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries

𝐴𝑐𝑡𝑖𝑣𝑒 𝐺𝑎𝑡𝑒 𝑅𝑒𝑔𝑖𝑜𝑛 = 2ℎ𝑛

𝒉

Page 10: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 11: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries

Page 12: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 13: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries

𝐼𝑠𝑢𝑏

Page 14: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 15: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 16: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries

𝐿𝐺

Page 17: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 18: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 19: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 20: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries
Page 21: PowerPoint Presentationziyang.eecs.umich.edu/~dickrp/eecs312/lectures/special-topics/... · Quadruple gate FET Cylindrical Table 1 Natural length in devices With different geometries