9 papers
Multi-critical topological transition at quantum criticality
Ranjith R Kumar, Y R Kartik, S Rahul +1
The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter. We…
A Study of Berry Connection and Complex Analysis for Topological Characterization
Y R Kartik, Rahul S, Ranjith Kumar R +1
We study and present the results of Berry connection for the topological states in quantum matter. The Berry connection plays a central role in the geometric phase and topological…
Range closest-pair search in higher dimensions
Timothy M. Chan, Saladi Rahul, Jie Xue
Range closest-pair (RCP) search is a range-search variant of the classical closest-pair problem, which aims to store a given set of points into some space-efficient data struct…
Active Learning a Convex Body in Low Dimensions
Sariel Har-Peled, Mitchell Jones, Saladi Rahul
Consider a set of points, and a convex body provided via a separation oracle. The task at hand is to decide for each point of if it is in using…
Two (Known) Results About Graphs with No Short Odd Cycles
Sariel Har-Peled, Saladi Rahul
Consider a graph with vertices where the shortest odd cycle is of length . We revisit two known results about such graphs: (I) Such a graph is almost bipartite, in the s…
An Interplay of Topology and Quantized Geometric Phase for two Different Symmetry-Class Hamiltonians
Rahul S, Ranjith Kumar R, Y R Kartik +2
Study of symmetry, topology and geometric phase can reveal many new and interesting results on the topological states of matter. Here we present a completely new and interesting re…