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Introduction
Publications
Publications (8)
We study a two-dimensional topological system driven out of equilibrium by the application of elliptically polarized light. In particular, we analyze the Bernevig-Hughes-Zhang model when it is perturbed using an elliptically polarized light of frequency Ω described in general by a vector potential A(t)=(A0xcos(Ωt),A0ycos(Ωt+ϕ0)). Even for a fixed v...
We study a two-dimensional topological system driven out of equilibrium by the application of elliptically polarized light. In particular, we analyze the Bernevig-Hughes-Zhang model when it is perturbed using an elliptically polarized light of frequency $\Omega$ described in general by a vector potential ${\bf A}(t) = (A_{0x} \cos(\Omega t), A_{0y}...
We study the effects of periodic driving on a variant of the Bernevig-Hughes-Zhang (BHZ) model defined on a square lattice. In the absence of driving, the model has both topological and nontopological phases depending on the different parameter values. We also study the anisotropic BHZ model and show that, unlike the isotropic model, it has a nonto...
We study the effects of periodic driving on a variant of the Bernevig-Hughes-Zhang (BHZ) model defined on a square lattice. In the absence of driving, the model has both topological and non-topological phases depending on the different parameter values. We also study the anisotropic BHZ model and show that, unlike the isotropic model, it has a non-...
We study the phases of a spin system on the Kagome lattice with nearest-neighbor $XXZ$ interactions with anisotropy ratio $\Delta$ and Dzyaloshinskii-Moriya interactions with strength $D$. In the classical limit where the spin $S$ at each site is very large, we find a rich phase diagram of the ground state as a function of $\Delta$ and $D$. There a...
We use both lattice and continuum models to study the energy-momentum dispersion and the dynamics of a wave packet for an electron moving in graphene in the presence of spin-orbit couplings and either a single potential barrier or a periodic array of potential barriers. Both Kane-Mele and Rashba spin-orbit couplings are considered. In the presence...
We study graphene which has both spin-orbit coupling, taken to be of the
Kane-Mele form, and a Zeeman field induced due to proximity to a ferromagnetic
material. We show that an interface of such a spin-orbit coupled graphene with
its pristine counterpart has robust chiral edge modes in spite of the gapless
nature of the pristine graphene. Next we...
We study the effects of extended and localized potentials and a magnetic
field on the Dirac electrons residing at the surface of a three-dimensional
topological insulator. We use a lattice model to numerically study the various
states; we show how the potentials can be chosen in a way which effectively
avoids the problem of fermion doubling on a la...