Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Karnaukhov, Igor N."'
Autor:
Karnaukhov, Igor N.
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 mean-field approximation, the repulsion between fermions leads to a perio
Externí odkaz:
http://arxiv.org/abs/2404.03289
Autor:
Karnaukhov, Igor N.
Publikováno v:
Physica Scripta 99 (2024) 105403
The ground state of the Kondo chain is calculated taking into account the formation of local singlet states of electrons and moments. Singlets are entangled local states of electrons and moments arranged chaotically and varying in time. Two-particle
Externí odkaz:
http://arxiv.org/abs/2309.08525
Autor:
Karnaukhov, Igor N.
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 field approach and the solution using the Bethe ansatz made it possible t
Externí odkaz:
http://arxiv.org/abs/2307.09957
Autor:
Karnaukhov, Igor N.
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, is studied within the mean field approach. We demonstrate, that $Z_2$
Externí odkaz:
http://arxiv.org/abs/2304.07233
Autor:
Karnaukhov, Igor N.
Publikováno v:
Scientific Reports volume 12, Article number: 18607 (2022)
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 Kondo insulator is realized in a lattice with a double cell and a gapped
Externí odkaz:
http://arxiv.org/abs/2207.01866
Autor:
Karnaukhov, Igor N.
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 a static Z_2-field forms an insulator state on the lattice with a dou
Externí odkaz:
http://arxiv.org/abs/2205.11950
Autor:
Karnaukhov, Igor N.
Publikováno v:
Scientific Reports, 12, 7420 (2022)
In the framework of the mean field approach, we provide analytical and numerical solution of the spin-1/2 anisotropic Kondo lattice for arbitrary dimension at half filling. Nontrivial solution for the amplitude of the field opens a gap in the fermion
Externí odkaz:
http://arxiv.org/abs/2203.14252
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 state is present, the main peculiarity of insulator state is a doubled ce
Externí odkaz:
http://arxiv.org/abs/2109.07550
Autor:
Karnaukhov, Igor N.
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 fermions. An effective field, that takes into account the interaction, is
Externí odkaz:
http://arxiv.org/abs/2105.03134
Autor:
Karnaukhov, Igor N.
Publikováno v:
Annals of Physics 434 (2021) 168637
In the framework of mean field approach, we study topological Mott transition in a two band model of spinless fermions on a square lattice at half filling. We consider the combined effect of the on-site Coulomb repulsion and the spin-orbit Rashba cou
Externí odkaz:
http://arxiv.org/abs/2103.07916