1.4k citations · 2.9k across the 51 of their papers we have counts for
51 papers
Quantized two terminal conductance, edge states and current patterns in an open geometry 2-dimensional Chern insulator
Junaid Majeed Bhat, R. Shankar, Abhishek Dhar
The quantization of the two terminal conductance in 2D topological systems is justified by the Landauer-Buttiker (LB) theory that assumes perfect point contacts between single chan…
Super universality of dimerised spin chains
A. M. M. Pruisken, Bimla Danu, R. Shankar
We explore the physics of the quantum Hall effect using the Haldane mapping of dimerised spin chains, the large expansion and the density matrix renormalization group…
Theory of Optimal Transport and the Structure of Many-Body States
S. R. Hassan, Ankita Chakrabarti, R. Shankar
There has been much work in the recent past in developing the idea of quantum geometry to characterize and understand the structure of many-particle states. For mean-field states,…
Intrinsic and extrinsic geometries of correlated many-body states
Ankita Chakrabarti, S. R. Hassan, R. Shankar
We explore two approaches to characterise the quantum geometry of the ground state of correlated fermions in terms of the distance matrix in the spectral parameter space. (a) An in…
The quantum spin quadrumer
Subhankar Khatua, R. Shankar, R. Ganesh
A fundamental motif in frustrated magnetism is the fully mutually coupled cluster of spins, with each spin coupled to every other spin. Clusters with and have been ex…
Translational symmetry breaking and the disintegration of the Hofstadter butterfly
Archana Mishra, S. R. Hassan, R. Shankar
We study the effect of interactions on the Hofstadter butterfly of the honeycomb lattice. We show that the interactions induce charge ordering that breaks the translational and rot…