# Two-Dimensional Magnetotransport in the Extreme Quantum Limit

@article{Tsui1982TwoDimensionalMI, title={Two-Dimensional Magnetotransport in the Extreme Quantum Limit}, author={Daniel C. Tsui and Horst L. Stormer and Arthur C. Gossard}, journal={Physical Review Letters}, year={1982}, volume={48}, pages={1559-1562} }

A quantized Hall plateau of ρxy=3he2, accompanied by a minimum in ρxx, was observed at T<5 K in magnetotransport of high-mobility, two-dimensional electrons, when the lowest-energy, spin-polarized Landau level is 13 filled. The formation of a Wigner solid or charge-density-wave state with triangular symmetry is suggested as a possible explanation.

## Figures from this paper

## 2,754 Citations

Low-Temperature Magnetotransport in InAs-GaSb Quantum Wells

- Physics
- 1985

We report measurements of the magneto and Hall resistance in GaSb-InAs-GaSb heterostructures at magnetic fields up to 28T and temperatures as low as 0.005K. In addition to the quantized Hall effect,…

Magnetoexcitons in finite-size semiconductor quantum wells

- Chemistry
- 1992

The spectrum of specific elementary excitations in a many-electron system, i.e., magnetoexcitons, is investigated theoretically. It is shown that in finite-size quantum wells there exist additional…

Vanishing hall coefficient in the extreme quantum limit in photocarrier-doped SrTiO3.

- Physics, MedicinePhysical review letters
- 2008

At low temperature, the magnetoresistance and Hall resistivity saturate at a high magnetic field, deviating from conventional behavior, and the Hall coefficient vanishes, indicating the essential role of lowest Landau level occupancy, as limited by thermal broadening.

Quantized hall effect of 2D systems

- Chemistry
- 1983

Abstract The dependence of the Hall conductivity plateaus on Landau level index, magnetic field, electron density and temperature is discussed. The fractional width Δn n of the plateaus in terms of…

Magnetoresistance in a High Mobility Two-Dimensional Electron System as a Function of Sample Geometry

- Physics
- 2013

In a high mobility two-dimensional electron gas (2DEG) realized in a GaAs / Al0.3Ga0.7As quantum well we observe changes in the Shubnikov-de Haas oscillations (SdHO) and in the Hall resistance for…

Ultrafast nonlinear optical response of the quantum Hall system

- Physics2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference
- 2007

The quantum Hall effects (QH) arise in a cold 2D electron gas (2DEG) subject to a perpendicular magnetic field. They result from Coulomb correlations among the 2DEG that populates the highly…

Microwave studies in the quantum hall effect regimes

- Physics
- 1999

High-frequency transport experiments offer interesting possibilities to study two-dimensional electron and hole systems in high magnetic fields. We review investigations in the integer and fractional…

Femtosecond dynamics of inter-Landau level excitations of a two-dimensional electron gas in the quantum Hall regime

- Physics
- 2002

Abstract We use degenerate four-wave mixing to investigate the dynamics of electron–hole pairs interacting with magnetoplasmon excitations of a two-dimensional electron gas (2DEG) in the quantum Hall…

Electron Conduction and Quantum Phenomena in 2D Heterostructures

- Physics
- 1995

A quasi two-dimensional electron gas confined at the interface between two semiconductors is a nearly ideal low disordered system. Its low temperature transport properties are dominated by a large…

Exotic electronic phases in the second Landau level

- Physics
- 2006

Recent experiments have shown that two-dimensional electron systems with an externally applied magnetic field are an extremely rich ground for many-body physics. In particular, when only two of the…

## References

SHOWING 1-10 OF 25 REFERENCES

Temperature dependence of the magnetoconductivity in the ground Landau level in silicon inversion layers

- Physics
- 1977

Abstract The magnetoconductivity σ xx in the lower edge of the lowest Landau level in silicon inversion layers shows an activation type temperature dependence in H = 97.5 kOe and T = 4.2−1.5 K. An…

Quantized Hall conductivity in two-dimensions

- Physics
- 1981

It is shown that the quantization of the Hall conductivity of two-dimensional metals which has been observed recently by Klitzing, Dorda, and Pepper and by Tsui and Gossard is a consequence of gauge…

High field magnetoconductivity of Si inversion layers

- Physics
- 1977

Abstract The transverse magnetoconductivity (σχχ) of electron inversion layers on (100) Si is measured in magnetic fields up to 220 kG at temperatures from 4.2 to 1.6 K. The dependence of σχχ on T,…

Charge Density Wave State of Two-Dimensional Electrons in Strong Magnetic Fields

- Physics
- 1979

Charge density wave (CDW) states of a two-dimensional electron system occupying only the lowest Landau subband are investigated at T =0 by the Hartree-Fock approximation. It is shown that even in the…

Anderson localization in a two dimensional electron system under strong magnetic fields

- Physics
- 1977

Abstract A possibility of the Anderson localization is proposed for a two dimensional electron system with random potentials under strong magnetic fields. A criterion for the Anderson transition at…

New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance

- Materials Science
- 1980

Measurements of the Hall voltage of a two-dimensional electron gas, realized with a silicon metal-oxide-semiconductor field-effect transistor, show that the Hall resistance at particular,…

Far infrared resonant magnetoabsorption in low density Si inversion layers

- Chemistry
- 1977

The density and temperature dependences of high frequency/resonant field (61.3 cm-1, 11T) resonant magnetoabsorption data in (100) Si inversion layers at low densities are strikingly different from…

Resistance standard using quantization of the Hall resistance of GaAs‐AlxGa1−xAs heterostructures

- Physics
- 1981

Quantization of the Hall resistance of the two‐dimensional electron gas in GaAs‐AlxGa1−xAs heterostructures is observed at 4.2 K and at magnetic fields as low as 4.2 T. This demonstrates its…

Theory of Quantum Transport in a Two-Dimensional Electron System under Magnetic Fields. I. Characteristics of Level Broadening and Transport under Strong Fields

- Physics
- 1974

Characteristics of level broadening and transverse conductivity of a two-dimensional electron system under extremely strong fields have been theoretically investigated in the simplest approximation…

Fractionally Charged Excitations in Charge-Density-Wave Systems with Commensurability 3

- Physics
- 1981

A theoretical study of topological excitations (kinks) in a one-dimensional one-third-filled Peierls system is presented. The charges associated with the kinks are found to be fractional…