Physics:Semicircle law (Quantum Hall)
From HandWiki
The Semicircle law[1] states that for transport (extended states) of 2D electron gas in a magnetic field, the macroscopic conductivity tensor σ satisfies the semicircle law.[2]
- [math]\displaystyle{ \sigma_1 \sigma_2 +(\sigma_h - \sigma^0_h )=(e^2/(2h)^2 }[/math]
with [math]\displaystyle{ \sigma^0_h = (N + 1/2) e^2 / h }[/math]
References
- ↑ Felix von Oppen; Halperin, Bertrand I; Stern, Ady (1999). "Conductivity tensor of striped quantum Hall phases". Physical Review Letters 84 (13): 2937-40. doi:10.1103/PhysRevLett.84.2937. PMID 11018980. Bibcode: 2000PhRvL..84.2937V.
- ↑ Kivelson, Steven; Lee, Dung-Hai; Zhang, Shou-Cheng (July 1992). "Global phase diagram in the quantum Hall effect". Physical Review B 46 (4): 2223. doi:10.1103/physrevb.46.2223. Bibcode: 1992PhRvB..46.2223K. http://prb.aps.org/abstract/PRB/v46/i4/p2223_1.
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