8 papers
Chiral Bosonic Topological Insulator on the Honeycomb Lattice with Anisotropic Interactions
Amrita Ghosh, Eytan Grosfeld
We study hard-core bosons on the honeycomb lattice in the presence of anisotropic nearest-neighbor repulsive interactions. Using a quantum Monte Carlo (QMC) technique, we extract t…
Weak topological insulating phases of hard-core-bosons on the honeycomb lattice
Amrita Ghosh, Eytan Grosfeld
We study the phases of hard-core-bosons on a two-dimensional periodic honeycomb lattice in the presence of an on-site potential with alternating sign along the different y-layers o…
Unique continuation for a non bi-Laplacian fourth order elliptic operator
Amrita Ghosh, Tuhin Ghosh
This paper discusses the unique continuation principal of the solutions of the following perturbed fourth order elliptic differential operator , where \[ \mat…
Mixed-order transition and tricritical point associated with checkerboard supersolidity in the two-dimensional model
Amrita Ghosh, Satyaki Kar, Sudhakar Yarlagadda
We use Quantum Monte Carlo method employing stochastic-series-expansion technique to study the ground state properties of the model on a square lattice. We find that, awa…
Semigroup theory for the Stokes operator with Navier boundary condition on spaces
Cherif Amrouche, Miguel Escobedo, Amrita Ghosh
We consider the incompressible Navier-Stokes equations in a bounded domain with boundary, completed with slip boundary condition. Apart from studying the genera…
Homogenization for non-local elliptic operators in both perforated and non-perforated domains
Loredana Balilescu, Amrita Ghosh, Tuhin Ghosh
In this paper, we focus on the homogenization process of the non-local elliptic boundary value problem $$\mathcal{L}_\varepsilon^s u_\varepsilon =(-\nabla\cdot (A_\varepsilon(x)\na…