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2008.07.18-l5-datta-handout

2008.07.18-l5-datta-handout -...

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Unformatted text preview: http://www.nanohub.org/courses/cqt NCN Supriyo Datta Nanoelectronics and the meaning of resistance 1a,b: What and where is the resistance? 2a,b: Quantum transport 3a,b: Spins and magnets 4a,b: Maxwell’s demon 5a,b: Correlations and entanglement 0.1 mm 10 µ m 1 µ m 0.1 µ m 10 nm 1 nm 0.1 nm Macroscopic dimensions I V <--- L ---> Atomic dimensions http://www.nanohub.org/courses/cqt NCN Supriyo Datta Lecture 5a: Correlation-0.2 0.2 0.4 0.6 0.8 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 / 1 γ γ 2 / μ 1 μ 2 / 1 γ γ 2 / μ 1 μ 2 / 1 γ γ 2 / μ 1 μ 2 U i = U N Restricted SCF Exact Needs picture in “Fock” space U i = U ( N − N i ) Unrestricted SCF A simple example to illustrate the meaning of correlation μ 2 − μ 1 → Normalized current http://www.nanohub.org/courses/cqt NCN Supriyo Datta Coulomb blockade and strong correlation 00 11 01 10 μ 1 μ 2 / 1 γ γ 2 / P 00 = (1 − f ↑ )*(1 − f ↓ ) P 10 = f ↑ *(1 − f ↓ ) P 01 = (1 −...
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  • Spring '08
  • Staff
  • Trigraph, Meaning of life, Correlation and dependence, Pearson product-moment correlation coefficient, Quantum entanglement, Supriyo Datta

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