8 citations · 8 across the 5 of their papers we have counts for
5 papers
Topological properties of a chain of interacting electrons
Igor N. Karnaukhov, E. E. Krasovskii
Within the framework of a one-dimensional model of interacting electrons, the ground state of an electron liquid is studied. Using the exact solution of the model, the ground state…
Mott-Hubbard phase transition, gapped electron liquid in insulator stat
Igor N. Karnaukhov
Within the framework of a mean-field approach the Mott-Hubbard phase transition is considered in the Hubbard and Falicov-Kimball models for half-filled occupation. It is shown that…
Mott-Hubbard phase transition in 2D electron liquid
Igor N. Karnaukhov, Kateryna Levchuk, Igor N. Dubinski
We study the behavior of fermion liquid defined on hexagonal and triangular lattices with short-range repulsion at half filling. In strong coupling limit the Mott-Hubbard phase sta…
Fractional quantum Hall effect in the Hofstadter model of interacting fermions
Igor N. Karnaukhov
Applying a unified approach, we study integer quantum Hall effect (IQHE) and fractional quantum Hall effect (FQHE) in the Hofstadter model with short range interaction between ferm…
Topological states in the Hofstadter model on a honeycomb lattice
Igor N. Karnaukhov
e provide a detailed analysis of a topological structure of a fermion spectrum in the Hofstadter model with different hopping integrals along the -links ()…