Books on the Integer Quantum Hall effect

In summary, the Integer Quantum Hall effect is a quantum-mechanical phenomenon observed in two-dimensional electron systems at very low temperatures and high magnetic fields. It is described mathematically by Landau quantization and the Harper equation. The significance of this effect lies in its ability to accurately measure the fine structure constant and its applications in quantum computing and topological insulators. The key experimental techniques used to study it are magnetotransport measurements and scanning probe microscopy. There are several notable books on the subject, such as "The Quantum Hall Effect" by R. Prange and S. Girvin, "Quantum Hall Effect" by Z. F. Ezawa, and "The Fractional Quantum Hall Effect" by T. Chak
  • #1
Joker93
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Hi,
does anybody know of any good sources to learn about the Integer Quantum Hall effect from the perspective of theoretical physics?
Any suggestion will be appreciated, thanks.
 
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  • #3
jedishrfu said:
Have you tried searching for them via google?
Google will give books, but not suggest books. Here, the OP will get suggestions from experts in each field, while google will simply enlist the book names without suggesting the pros and cons of each.
 
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What is the Integer Quantum Hall effect?

The Integer Quantum Hall effect is a quantum-mechanical phenomenon observed in two-dimensional electron systems at very low temperatures and high magnetic fields. It results in the quantization of the Hall resistance to integer multiples of a fundamental constant, known as the von Klitzing constant.

How is the Integer Quantum Hall effect described mathematically?

The Integer Quantum Hall effect is described by Landau quantization, which is based on the Landau levels formed by the quantized motion of electrons in a magnetic field. This can be further explained by the use of the Harper equation, which describes the energy levels of the electrons in a periodic potential and a magnetic field.

What is the significance of the Integer Quantum Hall effect?

The Integer Quantum Hall effect is significant because it provides a way to accurately measure the fine structure constant, a fundamental constant of nature. It also has important applications in the development of quantum computers and topological insulators.

What are the key experimental techniques used to study the Integer Quantum Hall effect?

The two main experimental techniques used to study the Integer Quantum Hall effect are magnetotransport measurements and scanning probe microscopy. Magnetotransport measurements involve measuring the electrical resistance of a material under a varying magnetic field, while scanning probe microscopy allows for the visualization of the electronic properties of a material at the nanoscale.

Are there any notable books on the Integer Quantum Hall effect?

Yes, there are several notable books on the Integer Quantum Hall effect, including "The Quantum Hall Effect" by R. Prange and S. Girvin, "Quantum Hall Effect" by Z. F. Ezawa, and "The Fractional Quantum Hall Effect" by T. Chakraborty and P. Pietilainen. These books provide comprehensive explanations of the theory, experiments, and applications of the Integer Quantum Hall effect.

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