activity
19962026
most citedDirac operators on quantum group and quantum sphere

13 citations · 60 across the 35 of their papers we have counts for

collaborators

35 papers

cond-mat.str-el2026

The competition between low-temperature kinks and magnons at the vicinity of the deconfinement transition point in 1D easy-axis XXZ ferromagnet

P. N. Bibikov

Studying the ordered phases and quantum supercritical low-temperature regime at the vicinity of the deconfinement transition point in 1D easy-axis XXZ ferromagnet, we suggest their…

cond-mat.stat-mech2025

Thermodynamics of the XX spin chain in the QTM approach

P. N. Bibikov

The free energy density of the XX chain in magnetic field is obtained in two alternative ways within the Quantum Transfer Matrix approach. In both the cases the proofs are complete…

nlin.SI2024

R-matrix for the XX spin chain in a staggered magnetic field

P. N. Bibikov

We suggest the elliptic R-matrix for the XX spin chain in a staggered magnetic field. This integrable model is a special case of the more general one, studied long ago…

nlin.SI2024

R-matrix for the XX spin chain at the special imaginary value of staggered magnetic field

P. N. Bibikov

It is pointed, that the Hamiltonian density matrix, corresponding to XX spin chain in a staggered magnetic field, satisfies the Reshetikhin condition as well, as the t…

cond-mat.str-el2023

Magnon peak lineshape in the transverse dynamical structure factor of a magnetically polarized easy-axis chain at low temperatures

P. N. Bibikov

The ferromagnetically polarized gapped XXZ spin chain is studied at low temperatures. Utilizing only the one- and two-magnon spectrums and focusing on the magnon-creation contribut…

cond-mat.str-el2022

Low-temperature asymptotics for transverse autocorrelator of the magnetically polarized Ising chain studied by ordinary and nested Dyson equations

P. N. Bibikov

Suggesting two versions for the Plakida-Tserkovnikov algorithm breakdown in the low-temperature regime, we derive ordinary and nested Dyson equations for the transverse autocorrela…