# Questions tagged [quantum-hall-effect]

Questions related to the quantum Hall effect (the quantisation of resistivity observed when a 2-dimensional electron gas system is subjected to a strong perpendicular magnetic field), as well as formulations of states, topological properties, and applications.

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### Fractional quantum Hall effect: is new physics required to understand it?

Is it true that some of the experimentally observed states in fractional quantum Hall effect are unexplainable by current physics? If so, does this point towards a revision of quantum mechanics, and / ...
1 vote
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### Rigorous Hall conductance

I have been trying to understand the rigorous argument for calculating the hall conductance by averaging over two fluxes by reading this paper {1}. I think I understand the entire derivation, except ...
• 1,688
1 vote
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### More Rigorous Laughlin pumping argument

I'm having a hard time understanding how the concept of spectral flow helps us compute the hall conductivity, and in particular, Laughlin's pumping argument. I think that this question summarizes the ...
• 1,688
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### QHE from Kubo's formula

I'm following David Tong's lectures on the Quantum Hall Effect, in which he rederives the TKNN formula using the Kubo formula. The notes are a understandably hand-wavy with notation, so let me provide ...
• 1,688
1 vote
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### Chern-Simon level quantization and quantum Hall effect

It is well-known that integer and fractional quantum Hall effect can be effectively described by $U(1)$ abelian Chern-Simon theory. In both cases, quantization(fractionalization) of Hall resistance is ...
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### What does "continuous transformation" mean with regard to the Hamiltonian of a system?

When dealing with topological phases of matter (topological insulators, quantum hall effect, etc...) one says that the system remains in the same phase as long as any continuous transformation of the ...
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### Vortices in the effective field theory of Fractional Quantum Hall Effect

I am a grad student tasked with explaining what vortices are in the Zhang Hansson and Kivelson effective field theory of fractional quantum hall effect. I am explaining them to a final year bachelors ...
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1 vote
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### Topological phases of matter

So according to this, scientists have discovered more than 5 states of matter we usually had that is the solid, liquid, gases, and Bose-Einstein-Condensate, and plasma. So how many topological phases ...
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• 9,579
1 vote
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### What are Landau bands as opposed to Landau levels?

I think, I understand what Landau levels are. They are quantized harmonic oscillator levels that arise when a bunch on noninteracting electrons are subjected to an external magnetic field. Can ...
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1 vote