6 citations · 6 across the 6 of their papers we have counts for
6 papers
Composite Hofstadter bands with Dirac fermion spectrum of fractional quantum Hall states
Igor N. Karnaukhov
The fractional quantum Hall effect (FQHE) is studied in the semiclassical limit in the framework of the Hofstadter model with a short-range interaction between fermions. In the mea…
Mean field approach plus the Bethe ansatz solution of one dimensional models of Kondo insulator
Igor N. Karnaukhov
The Kondo insulator (KI) is studyed in the frameworrk of one dimensional models of Kondo and symmentic Anderson lattices at half filling. The consistent application of the mean fie…
Dirac fermion spectrum of the fractional quantum Hall states
I. N. Karnaukhov
Applying a unified approach, we study the integer quantum Hall effect (IQHE) and fractional quantum Hall effect (FQHE) in the Hofstadter model with short range interactions between…
The ground state of the Kondo lattice
Igor N. Karnaukhov
The Kondo insulator state (KIS) is among the least understood phase state in condensed matter physics. KIS is the state of the electron liquid in the Kondo lattice at half filling,…
Gapped electron liquid state in the symmetric Anderson lattice, Kondo insulator state
Igor N. Karnaukhov
The Kondo insulator state (KIS) realized in the symmetric Anderson model at half filling is studied in the framework of a mean field approach. It is shown that the state of the Kon…
Exactly solvable model of topological insulator realized on spin-1/2 lattice
Igor N. Karnaukhov, Igor O. Slieptsov
In this paper we propose an exactly solvable model of a topological insulator defined on a spin-1/2 square decorated lattice. Itinerant fermions defined in the framework of the Hal…