How do you incorporate the concept of fractional quantum Hall effect into your theoretical models?

Sample interview questions: How do you incorporate the concept of fractional quantum Hall effect into your theoretical models?

Sample answer:

1. Landau Level Splitting:

2. Begin by describing the fractional quantum Hall effect (FQHE) in terms of Landau level splitting. Explain how the application of a strong magnetic field causes electrons to occupy discrete Landau levels.

3. Composite Fermions:

4. Introduce the idea of composite fermions, which are quasiparticles consisting of an electron and an even number of flux quanta. Describe how these composite fermions experience a reduced magnetic field.

5. Laughlin Wave Function:

6. Discuss the Laughlin wave function, which is an ansatz wave function that describes the ground state of a system of composite fermions. The wave function has a peculiar structure that is characterized by a fractional filling factor ν.

7. Fractional Charge and Statistics:

8. Explain how the fractional filling factor ν leads to the fractional charge and fractional statistics of the composite fermions. Der… Read full answer

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