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5 papers
Quantised charge pumping through multiple quantum dots
Argha Banerjee, Sourin Das, Sumathi Rao
We study electron pumping through a system of barriers, whose heights are deformed adiabatically. We derive a simple formula for the pumped charge in terms of the total reflect…
An introduction to bosonization and aome of its applications
Sumathi Rao, Diptiman Sen
We discuss the technique of bosonization for studying systems of interacting fermions in one dimension. After briefly reviewing the low-energy properties of Fermi and Luttinger liq…
Results from bosonisation for resonant tunneling through a quantum dot in an Aharanov-Bohm ring
P. Durganandini, Sumathi Rao
We study coherent charge tunneling through a one-dimensional interacting ring with a one-dimensional quantum dot embedded in one of its arms through bosonisation. The symmetries of…
The Fractional Quantum Hall Effect
Sumathi Rao
We give a brief introduction to the phenomenon of the Fractional Quantum Hall effect, whose discovery was awarded the Nobel prize in 1998. We also explain the composite fermion pic…
MIRROR SYMMETRY IN THE FEW ANYON SPECTRA IN A HARMONIC OSCILLATOR POTENTIAL
Ranjan K. Ghosh, Sumathi Rao
We find that the energy spectra of four and five anyons in a harmonic potential exhibit some mirror symmetric (reflection symmetric about the semionic statistics point ) fea…