Prosenjit Singha Deo
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I work on various aspects of mesoscopic systems, like electron
transport based on Landauer Buttiker approach, persistent currents
in open and closed systems, many body effects in Quantum dots and
rings, thermodynamic properties of mesoscopic superconductors etc.
Mesoscopic physics is a part of condensed matter physics, and is mainly
concerned with studying the properties of materials that are so small
that at low temperatures, the quantum mechanical wavefunction coherently
extends over the whole sample and boundary conditions start playing
a very significant role. The sample dimensions start competing with
the internal length scales like elastic mean free path, inelastic
mean free path, etc.
There are several counterintuitive mesoscopic phenomenon such as
persistent currents, quantization of conductance, universal
conductance fluctuations,...
A mesoscopic sample can be open or closed. An open sample is
connected to one or more electron reservoirs through ideal leads.
The sample can exchange particles with the reservoirs through
the leads. Hence it is basically a grand canonical system,
that is however slightly different from that what we study
in text books on statistical mechanics, in the sense, that
the leads and the reservoirs change the properties of the
sample to some extent. While we have studied in text books that
a grand canonical system has the same eigenenergies as that
when the system is closed, and the reservoir is characterized
by a chemical potential. But in a mesoscopic sample we have
to account for the fact that the eigenenergies can be changed
by the reservoir and the leads that offer a mechanisms for
particle exchange between the system and the reservoir.
The Landauer-Buttiker approach is to understand such a sample
in terms of the scattering matrix, rather than the partition
function or free energy.
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Email: deo@bose.res.in