39 citations · 247 across the 19 of their papers we have counts for
9 papers · 1 filter
Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
Krishanu Roychowdhury, Jan Attig, Simon Trebst +1
In quantum mechanics, supersymmetry (SUSY) posits an equivalence between two elementary degrees of freedom, bosons, and fermions defined by local rules. Here we apply it to find co…
Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
Krishanu Roychowdhury, Roderich Moessner, Arnab Das
Kibble-Zurek theory (KZ) stands out as the most robust theory of defect generation in the dynamics of phase transitions. KZ utilizes the structure of equilibrium states away from t…
Topological Mechanics from Supersymmetry
Jan Attig, Krishanu Roychowdhury, Michael J. Lawler +1
In topological mechanics, the identification of a mechanical system's rigidity matrix with an electronic tight-binding model allows to infer topological properties of the mechanica…
A classification of magnetic frustration and metamaterials from topology
Krishanu Roychowdhury, Michael J. Lawler
We study the relationship between the physics of topology and zero modes in frustrated systems and metama- terials. Zero modes that exist in topological matters are distinct from t…
Topology and geometry of spin origami
Krishanu Roychowdhury, D. Zeb Rocklin, Michael J. Lawler
Kagome antiferromagnets are known to be highly frustrated and degenerate when they possess simple, isotropic interactions. We consider the entire class of these magnets when their…
Doping effects on the magnetic frustration in the honeycomb iridates
Sujit Das, Er Jia Guo, Krishanu Roychowdhury
We investigate the doping effects of magnetic and nonmagnetic impurities injected to the honeycomb iridate sample of Na2IrO3 . Both the doping result in changing the ordering tempe…
Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling
Krishanu Roychowdhury, Subhro Bhattacharjee, Frank Pollmann
We consider hard-core bosons on the kagome lattice in the presence of short range repulsive interactions and focus particularly on the filling factor 1/3. In the strongly interacti…
Tensor renormalization group approach to classical dimer models
Krishanu Roychowdhury, Ching-Yu Huang
We analyze classical dimer models on the square and triangular lattice using a tensor network representation of the dimers. The correlation functions are numerically calculated usi…
Interplay of charge and spin fluctuations of strongly interacting electrons on the kagome lattice
Frank Pollmann, Krishanu Roychowdhury, Chisa Hotta +1
We study electrons hopping on a kagome lattice at third filling described by an extended Hubbard Hamiltonian with on-site and nearest-neighbour repulsions in the strongly correlate…