160 citations · 1k across the 39 of their papers we have counts for
39 papers
Gap Structure of the Hofstadter System of Interacting Dirac Fermions in Graphene
Vadym Apalkov, Tapash Chakraborty
The effects of mutual Coulomb interactions between Dirac fermions in monolayer graphene on the Hofstadter energy spectrum have been studied. Our studies indicate that the effects o…
Incompressible States of Dirac Fermions in Graphene with Anisotropic Interactions
V. M. Apalkov, Tapash Chakraborty
We report on the properties of incompressible states of Dirac fermions in graphene in the presence of anisotropic interactions and a quantizing magnetic field. We introduce the nec…
Traits and Characteristics of Interacting Dirac fermions in Monolayer and Bilayer Graphene
Tapash Chakraborty, Vadim Apalkov
The relativistic-like behavior of electrons in graphene significantly influences the interaction properties of these electrons in a quantizing magnetic field, resulting in more sta…
The Fractional Quantum Hall Effect of Tachyons in a Topological Insulator Junction
Vadim M. Apalkov, Tapash Chakraborty
We have studied the tachyonic excitations in the junction of two topological insulators in the presence of an external magnetic field. The Landau levels, evaluated from an effectiv…
Superluminal Tachyonlike Excitations of Dirac Fermions in a Topological Insulator Junction
Vadim M. Apalkov, Tapash Chakraborty
We have considered a system of two topological insulators and have determined the properties of the surface states at the junction. Here we report that these states, under certain…
Electrically tunable charge and spin transitions in Landau levels of interacting Dirac fermions in trilayer graphene
Vadim M. Apalkov, Tapash Chakraborty
Trilayer graphene in the fractional Quantum Hall Effect regime displays a set of unique interaction-induced transitions that can be tuned entirely by the applied bias voltage. Thes…