Related Experiment Video
Updated: May 27, 2026
05:39
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Reentrant ν=1 quantum Hall state in a two-dimensional hole system.
A L Graninger1, D Kamburov, M Shayegan
1Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA.
Physical Review Letters
|November 24, 2011
Summary
We observed a reentrant quantum Hall state at filling factor one in a 2D hole system. This state
Area of Science:
- Condensed matter physics
- Quantum Hall effect studies
Background:
- The quantum Hall effect (QHE) is a phenomenon observed in two-dimensional electron systems subjected to strong magnetic fields.
- Understanding the behavior of QHE states, particularly at specific filling factors like ν=1, is crucial for fundamental physics and potential applications.
Purpose of the Study:
- To investigate the reentrant quantum Hall state at ν=1 in a two-dimensional hole system.
- To explore the influence of a parallel magnetic field component on the stability and reemergence of this state.
Main Methods:
- Fabrication of a 35-nm-wide (001) GaAs quantum well to confine the two-dimensional hole system.
- Application of a perpendicular magnetic field to induce the quantum Hall state and a parallel magnetic field component (B∥) to study its effect.
Main Results:
- Observation of a reentrant quantum Hall state at ν=1.
- The ν=1 state weakens and collapses with increasing B∥, then strengthens and reemerges at higher B∥.
- The robustness of the ν=1 state is sensitive to the quantum well's charge distribution symmetry.
- The B∥ required for the transition increases with the system's total density.
Conclusions:
- The study demonstrates a novel reentrant behavior of the ν=1 quantum Hall state in a two-dimensional hole system.
- The findings highlight the critical role of quantum well symmetry and carrier density in stabilizing exotic quantum states under combined magnetic fields.
Related Concept Videos
03:06The Pauli Exclusion Principle
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
02:32The de Broglie Wavelength
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
01:14Atomic Nuclei: Nuclear Spin State Population Distribution
Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
01:30The Hall Effect
Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
01:03Atomic Nuclei: Nuclear Spin State Overview
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
01:10Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule
In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1 triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the others.