27/01/2016
One formula that many of us probably remember from our physics and chemistry classes in school is the ideal gas equation PV = NkT, which relates the volume (V) and pressure (P) of a gas of N atoms to its temperature (T). It is such a simple, yet powerful formula which has helped us understand so many phenomena around us! However, it turns out it can only be used in situations when the quantum mechanical nature of particles and the interactions between them can be neglected - something that is only guaranteed at very high tempertures.
There are so many fascinating materials around us which don't satisfy these conditions, for eg. High-Tc superconductors and graphene. In these materials, not only do electrons (which are fermions) interact very strongly, they are also constrained to move in a two-dimensional plane. How do we understand the thermodynamics of such systems? We do experiments, of course! In our recent experiments, we confined a gas of fermionic atoms in a 2D plane and cooled it to temperatures only a billionth of a Kelvin above zero. We were able to measure, for the first time, the equation of state of the gas as a function of temperature and inter-atomic interaction strength. We were able to obtain a formula (similar to PV=NkT, but a bit more complicated) that can be applied to any system with similar conditions. Hopefully in the long run, this finding will help towards understanding the behavior of several fascinating phenomena like High-Tc superconductivity.
This research, done in collaboration with theorists Igor Boettcher and Tilman Enss, has been published in the recent issue of Physical Review Letters. It has also been selected for a viewpoint in Physics magazine written by Meera Parish.
Two separate groups have extracted the thermodynamic equation of state for a two-dimensional gas of fermionic atoms, revealing its peculiar quantum features.