Quantum-Hall physics and three dimensions
Abstract
The discovery of the quantum Hall effect (QHE) in 1980 marked a turning point in condensed matter physics: given appropriate experimental conditions, the Hall conductivity σxy of a two-dimensional electron system is exactly quantized. But what happens to the QHE in three dimensions (3D)? Experiments over the past 40 years showed that some of the remarkable physics of the QHE, in particular plateau-like Hall conductivities σxy accompanied by minima in the longitudinal resistivity ρxx , can also be found in 3D materials. However, since typically ρxx remains finite and a quantitative relation between σxy and the conductance quantum e2/h could not be established, the role of quantum Hall physics in 3D remains unsettled. Following a recent series of exciting experiments, the QHE in 3D has now returned to the center stage. Here, we summarize the leap in understanding of 3D matter in magnetic fields emerging from these experiments.
Read the paper
Related studies
- Quantum dots: synthesis, bioapplications, and toxicity
- Preliminary Toxicity Analysis of 3DCRT versus IMRT on the High Dose Arm of the RTOG 0126 Prostate Cancer Trial
- Adaptive Radiotherapy for Head and Neck Cancer: Initial Clinical Outcomes from a Prospective Trial
- A Guide to In Silico Drug Design
- Automated in Silico Design of Homogeneous Catalysts
- American Association of Physicists in Medicine Task Group 263: Standardizing Nomenclatures in Radiation Oncology
Go deeper in Evidence Hub
Evidence Hub adds a study data sheet (design, sample size, evidence level, key numbers), an AI summary and a chat grounded in the paper's text.