Showing posts with label Fractional Quantum Hall Effect. Show all posts
Showing posts with label Fractional Quantum Hall Effect. Show all posts

Wednesday, August 25, 2010

Weird Fractional Quantum Hall Effect

In a recent publication to Physical Review Letters, "Optical Probing of the Spin Polarization of the v= 5/2 Quantum Hall State" the authors: M. Stern, P. Plochocka, V. Umansky, D. K. Maude, M. Potemski, and I. Bar-Joseph, describe a phenomena resulting in a pseudoparticle having non-integer charge!

This is all based on the fractional quantum Hall effect.

Recall the classical Hall effect, discovered by Edwin Hall in 1879. This effect occurs when you apply a magnetic field perpendicular to a current in a conductor, producing a voltage difference across the conductor. This voltage difference is sometimes called the Hall Voltage.

If you have a system of electrons in a plane (two-dimensional) or on a surface that are at low temperatures, you can produce Hall voltages of only quantized values by applying a strong magnetic field. This is the integer quantum Hall effect. You can calculate the Hall Resistance,

R= (h/e^2)/v

Where h is Planck's constant, e is the fundamental charge, and v is called the filling factor.

In some cases the electrons behave as if they are a fluid. In this case they behave as a pseudoparticle with fractional charge. Very interesting! This occurs when v is fractional, it is specifically interesting at v = 5/2.

I have not yet finished the letter, but something mysterious occurs at v = 5/2. There is a lot of interesting physics here!

George