Quantization of the diagonal resistance : density gradients and the empirical resistance rule in a 2D system.

Journal Article · Fri Apr 01 00:00:00 EST 2005 · Proposed for publication in Physical Review Letters.

DOI:https://doi.org/10.1103/PhysRevLett.95.066808· OSTI ID:970678

Pan, Wei; Stormer, H L ^[1]; Vicente, C L ^[2]; Sullivan, N S ^[2]; Xia, J S ^[2]; Adams, E D ^[2]; West, Ken W ^[3]; Tsui, Daniel Chee ^[4]; Pfeiffer, Loren N ^[3]; Baldwin, K W ^[3]

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1. Columbia University, New York, NY
2. National High Magnetic Field Laboratory, Tallahassee, FL
3. Lucent Technologies, Murray Hill, NJ
4. Princeton University, NJ

We have observed quantization of the diagonal resistance, R{sub xx}, at the edges of several quantum Hall states. Each quantized R{sub xx} value is close to the difference between the two adjacent Hall plateaus in the off-diagonal resistance, R{sub xy}. Peaks in R{sub xx} occur at different positions in positive and negative magnetic fields. Practically all R{sub xx} features can be explained quantitatively by a 1%/cm electron density gradient. Therefore, R{sub xx} is determined by Rxy and unrelated to the diagonal resistivity {rho}{sub xx}. Our findings throw an unexpected light on the empirical resistivity rule for 2D systems.

• Research Organization: Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 970678
• Report Number(s): SAND2005-3098J; TRN: US201003%%43
• Journal Information: Proposed for publication in Physical Review Letters., Journal Name: Proposed for publication in Physical Review Letters.
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTRON DENSITY
MAGNETIC FIELDS
QUANTIZATION