6 papers
Construction of some special subsequences within a Farey sequence
B. Basu-Mallick, Tanaya Bhattacharyya, Diptiman Sen
Recently it has been found that some special subsequences within a Farey sequence play a crucial role in determining the ranges of coupling constant for which quantum soliton state…
Study of Low-energy States of Clusters of Spin-1/2 and Spin-1 Triangles with Kagome-like Geometries
Indranil Rudra, S. Ramasesha, Diptiman Sen
We study the low-energy properties of Heisenberg antiferromagnetic spin-1/2 and spin-1 systems on various clusters made up of triangles. Some of the clusters have a geometry simila…
Field Theoretic Studies of Quantum Spin Systems in One Dimension
Diptiman Sen
We describe some field theoretic methods for studying quantum spin systems in one dimension. These include the nonlinear sigma-model approach which is particularly useful for large…
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…
Integers and Fractions
Diptiman Sen
This article briefly reviews the quantum Hall effect and the contributions of the winners of the 1998 Nobel Prize in Physics.
Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas
Diptiman Sen
We conjecture that a two-dimensional anyon system reduces, when confined to a narrow channel, to a one-dimensional bose gas with a repulsive two-body -function interaction. We v…