185 citations · 407 across the 7 of their papers we have counts for
7 papers
Quantum geometry of correlated many-body states
S. R. Hassan, R. Shankar, Ankita Chakrabarti
We provide a definition of the quantum distances of correlated many fermion wave functions in terms of the expectation values of certain operators that we call exchange operators.…
RVB gauge theory and the Topological degeneracy in the Honeycomb Kitaev model
Saptarshi Mandal, R. Shankar, G. Baskaran
We relate the Z gauge theory formalism of the Kitaev model to the SU(2) gauge theory of the resonating valence bond (RVB) physics. Further, we reformulate a known Jordan-Wigner…
Spin-1 Kitaev model in one dimension
Diptiman Sen, R. Shankar, Deepak Dhar +1
We study a one-dimensional version of the Kitaev model on a ring of size N, in which there is a spin S > 1/2 on each site and the Hamiltonian is J \sum_i S^x_i S^y_{i+1}. The cases…
Manipulating unpaired Majorana fermions in a quantum spin chain
Abhinav Saket, S. R. Hassan, R. Shankar
We analyse an exactly solvable spin- chain which is a generalised version of Kitaev's honeycomb model. We show that every state of the system has a fold degeneracy,…
Tuning the conductance of Dirac fermions on the surface of a topological insulator
S. Mondal, D. Sen, K. Sengupta +1
We study the transport properties of the Dirac fermions with Fermi velocity on the surface of a topological insulator across a ferromagnetic strip providing an exchange field…
Exclusion statistics: A resolution of the problem of negative weights
M. V. N. Murthy, R. Shankar
We give a formulation of the single particle occupation probabilities for a system of identical particles obeying fractional exclusion statistics of Haldane. We first derive a set…
Thermodynamics of an one-dimensional ideal gas with fractional exclusion statistics
M. V. N. Murthy, R. Shankar
We show that the particles in the Calogero-Sutherland Model obey fractional exclusion statistics as defined by Haldane. We construct anyon number densities and derive the energy di…