V. Irkhin

activity

20242026

collaborators

9 papers

cond-mat.str-el2026

Quantum magnetic phase transitions in a Kugel-Khomskii model including spin-orbit coupling

D. E. Chizhov, P. A. Igoshev, V. Yu. Irkhin

Using the formalism of pseudospin and isospin operators the Hamiltonian of an effective Kugel-Khomskii model with spin-orbit coupling is derived with an exact account of the $t_{2g…

cond-mat.str-el2026

Monte Carlo study of the classical antiferromagnetic $J_{1}$ - $J_{2}$ - $J_{3}$ Heisenberg model on a simple cubic lattice

A. N. Ignatenko, S. V. Streltsov, V. Yu. Irkhin

An extensive Monte Carlo study of the classical Heisenberg model on a simple cubic lattice with antiferromagnetic exchange interactions $J_{n}$ between the first, second, and third n…

math.CA2026

Sophomore's dream function: asymptotics, complex plane behavior and relation to the error function

V. Yu. Irkhin

Sophomore's dream sum $S = \sum_{n = 1}^{\infty} n^{- n}$ is extended to the function $f (t, a) = t \int_{0}^{1} (a x)^{- t x} d x$ with $f (1, 1) = S$ . Asymptotic behavior for a large $∣ t ∣$ is obtained…

cond-mat.str-el2026

Magnetic fluctuations and superconducting pairing in $ε$ -iron

A. S. Belozerov, A. A. Katanin, V. Yu. Irkhin +1

We study Coulomb correlation effects and their role in superconductivity of $ε$ -iron under pressure from 12 to 33 GPa by using a combination of density functional and dyn…

cond-mat.str-el2025

Itinerant electron metamagnetism for lattices with van Hove density-of-states singularities near the Fermi level

F. A. Vasilevskiy, P. A. Igoshev, V. Yu. Irkhin

Itinerant-electron metamagnetism is investigated within the Hubbard model for various lattices having van Hove singularities (vHS) in the electronic spectrum: face-centered cubic a…

cond-mat.str-el2025

Low-dimensional Heisenberg magnets: Riemann zeta function regularization

V. Yu. Irkhin

The Riemann zeta function regularization is employed to extract finite temperature corrections to effective magnetic moment $S^{*}$ of one- and two-dimensional Heisenberg ferro- and…

Quantum magnetic phase transitions in a Kugel-Khomskii model including spin-orbit coupling

Monte Carlo study of the classical antiferromagnetic J1​-J2​-J3​ Heisenberg model on a simple cubic lattice

Sophomore's dream function: asymptotics, complex plane behavior and relation to the error function

Magnetic fluctuations and superconducting pairing in ε-iron

Itinerant electron metamagnetism for lattices with van Hove density-of-states singularities near the Fermi level

Low-dimensional Heisenberg magnets: Riemann zeta function regularization

Monte Carlo study of the classical antiferromagnetic $J_{1}$ - $J_{2}$ - $J_{3}$ Heisenberg model on a simple cubic lattice

Magnetic fluctuations and superconducting pairing in $ε$ -iron